Difference between revisions of "HFI design, qualification, and performance"

From Planck PLA 2015 Wiki
Jump to: navigation, search
 
(166 intermediate revisions by 10 users not shown)
Line 1: Line 1:
−
The inversion of HFI data requires that one knows how the instrument selects photons, how these photons are transformed in data transmitted by telemetry and what spurious signals are added in this process.
+
This section provides an overview of the High-Frequency Instrument and of its different sub-systems. Two papers that include and detail this information are available: {{PlanckPapers|lamarre2010}} and {{PlanckPapers|planck2011-1-5}}. Additional detailed information potentially useful for users of HFI data is included in this section or annexed to it.
−
[[Category:Instruments]]
 
  
−
==HFI high level description and Architecture==
+
[[Image:HFI_2_4_1_JML_TheElectronicsAndServiceModule.png|thumb|500px|center|HFI electronics in the satellite]]
  
−
<span style="color:red">(Lamarre/Pajot)</span>
+
The HFI instrument is designed around 52 bolometers. Twenty of the bolometers (spider-web bolometers or SWBs) are sensitive to total power, and the remaining 32 units are arranged in pairs of orthogonally-oriented polarisation-sensitive bolometers (PSBs). All bolometers are operated at a temperature of ~0.1 K by means of a space qualified dilution cooler coupled to a high precision temperature control system. A 4He-JT system provides active cooling for 4 K stages using vibration controlled mechanical compressors to prevent excessive warming of the 100 mK stage and minimize microphonic effects in the bolometers. Bolometers and sensitive thermometers are read using an AC-bias scheme through JFET amplifiers operated at ~130 K that provide high sensitivity and low frequency stability. The HFI covers six bands centred at 100, 143, 217, 353, 545, and 857 GHz, thanks to a thermo-optical design consisting of three corrugated horns and a set of compact reflective filters and lenses at cryogenic temperatures.
−
Should be short, understandable and point through links to the relevant sections and papers.
 
  
−
==Cryogenics==
+
[[Image:HFI_horns.jpg|thumb|500px|center|HFI focal plane optics and 4K thermo-mechanical stage.]]
−
<span style="color:red">(F .Pajot)</span>
 
−
===Dilution===
 
  
−
(including PIDs)
+
The whole satellite is organized to provide thermal transitions between its warm part exposed to radiation from the Sun and Earth, and the focal plane instruments that include the cold receivers (Sections [[HFI_cold_optics]] and [[HFI_detection_chain]]). The various parts of the HFI are distributed among three different stages of the satellite in order to provide each sub-system with an optimal operating temperature. The "warm" parts, including nearly all the electronics and the sources of fluids of the 4K and 0.1K coolers, are attached and thermally linked to the service module of the satellite. The first stage of the preamplifiers is attached to the back of the passively cooled telescope structure. The focal plane unit is attached to the 20K stage cooled by the sorption cooler. This is detailed in Section [[HFI_detection_chain]].
  
−
The HFI 3He-4He dilution cooler produces
+
The telescope and horns select the geometrical origin of photons. They provide a high transmission efficiency to photons inside the main beam, while photons coming from the intermediate and far-side lobes have very low probability of being detected. The essential characteristics are determined by a complex process mixing ground measurements of components (horns, reflectors), modelling the shape of the far sidelobes, and measuring bright sources in-flight, especially planets.  
−
temperatures of 0.1 K for the bolometers through
 
−
the dilution of 3He into 4He and 1.4 K through JT
 
−
expansion of the 3He and 4He mixture. The
 
−
dilution cooler is described in detail in section 2.3.3 of {{PEarly|2|page=7}}.
 
  
−
The dilution was operated with flows set to the  
+
The filters and bolometers define the spectral response and absolute optical efficiency, which are known mostly from ground-based measurements performed at component, sub-system, and system levels, reported in this document. The relationships between spectral response and geometrical response are also addressed.
−
minimum available value, and provided a total
 
−
lifetime of 30.5 months, exceeding the nominal
 
−
lifetime of 16 months by 14.5 months. The  
 
−
dilution stage was stabilized by a PID control
 
−
with a power comprised between 20 and 30 nW
 
−
providing a temperature near 101 mK. The
 
−
bolometer plate was stabilized at 102.8 mK with a
 
−
PID power around 5 nW [fig. 100mK_stability.png].
 
  
−
(here a few lines of 100 mK boloplate stability)
+
Photons absorbed by a bolometer include the thermal radiation emitted by the various optical devices: telescope, horns, and filters. They are transformed into heat that propagates to the bolometer thermometer to influence its temperature, which is itself measured by the readout electronics. Temperatures of all these items must be stable enough not to contaminate the scientific signal delivered by the bolometers. How this stability is reached is described in Section [[HFI_cryogenics]].
  
−
Detailed analysis of the in-flight stability of the  
+
The bolometer temperature depends also on the temperature of the bolometer plate, on the intensity of the biasing current, and on any spurious inputs, such as cosmic rays and mechanical vibrations. Such systematics are included in a list discussed in Section [[HFI-Validation]].
−
dilution cooler can be found in section
 
−
5.4 of {{PEarly|2|page=23}}.
 
  
−
=== 4K J-T cooler ===
+
Since the bolometer thermometer is part of an active circuit that also heats it, the response of this system is complex and has to be considered as a whole. In addition, due to the modulation of the bias current and to the sampling of the data, the response signal of the instrument when scanning a point source is more complex still. Item in Sub-Section [[HFI_detection_chain#Time_response|Time_response]] and Annex [[HFI_time_response_model]] are dedicated to the description of this time response.
  
−
(including PIDs for details links to the early cryogenic paper (need to add data ?))
+
[[Image:HFI_2_4_1_JML_SignalFormation.png|thumb|500px|center|HFI signal formation.]]
  
−
The HFI 4K J-T cooler produces a temperature of  
+
Logic of the formation of the signal in HFI. This is an idealized description of the physics that takes place in the instrument. The optical power that is absorbed by the bolometers comes from the observed sky and from the instrument itself. The bolometers and readout electronics, acting as a single and complex chain, transform this optical power into data that are compressed and transmitted for science data reduction.
−
4K for the HFI 4K stage and optics and the  
 
−
precooling of the dilution gases. Full
 
−
description of the 4K cooler can be found in  
 
−
in section 2.3.2 of {{PEarly|2|page=7}}.
 
  
−
The 4K cooler was operated without interruption
+
<div style="clear: both"></div>
−
during all the survey phase of the mission. It is
+
== References ==
−
still in operation as it also provides the
+
<References />
−
cooling of the optical reference loads of the
+
−
LFI. The 4K PID stabilizing the temperature of
+
−
the HFI optics is regulated at 4.81 K using a
 
−
power around 1.8 mW [fig. 4K -A VENIR-].
 
  
−
(here a few lines of 4K stability, including compressors operation)
 
  
−
Details on the in-flight performance of the
+
[[Category:HFI design, qualification and performance|000]]
−
dilution cooler can be found in in section
 
−
5.3 of {{PEarly|2|page=21}}.
 
−
 
 
−
[[File:100mK_stability.png|500px|je ne sais pas quelle est la légende !]]
 
−
 
 
−
 
 
−
== Cold optics ==
 
−
<span style="color:red">(Lamarre)</span>
 
−
=== Horns,lenses===
 
−
links to Peter's paper
 
−
=== filters, band===
 
−
Includes Locke's very detailed document.
 
−
 
 
−
== Detection chain ==
 
−
<span style="color:red">(Francesco Piacentini)</span>
 
−
=== Bolometers===
 
−
 
 
−
(notes by Alain: take from DOC file (50 Mo) from Francesco, email 15 Oct 2012 17:39:03)
 
−
 
 
−
The heart of the HFI - the detectors - are bolometers, solid-state devices in which the
 
−
incoming radiation dissipates its energy as heat that increases the temperature of a
 
−
thermometer. The instrument Flight Model total number of bolometers is 52, split into 6
 
−
channels at central frequencies of 100, 143, 217, 353, 545, and 857GHz.
 
−
 
 
−
Thirty two of these
 
−
bolometers are polarization sensitive allowing a map of the CMB polarisation to be
 
−
built.
 
−
 
 
−
 
 
−
 
 
−
Bolometers consist of (i) an absorber that transforms the in-coming radiation into heat; (ii) a thermometer that is thermally
 
−
linked to the absorber and measures the temperature changes;
 
−
and (iii) a weak thermal link to a thermal sink, to which the
 
−
bolometer is attached.
 
−
 
 
−
 
 
−
The detectors are semi-conducting NTD thermistor bolometers. There are two kinds of detector modules:
 
−
 
 
−
* SWB, spider web bolometers, are mounted on an absorbing spider-web of metallised silicon nitride
 
−
* PSB, polarization sensitive bolometers, are mounted or on a parallel
 
−
absorbing grid of metallised silicon nitride.
 
−
 
 
−
 
 
−
In the spider-web bolometers, or SWBs (Bock et al. 1995; Mauskopf et al. 1997), the absorbers consist of metallic grids
 
−
deposited on a Si3 N4 substrate in the shape of a spider web.
 
−
The mesh design and the impedance of the metallic layer are
 
−
adjusted to match vacuum impedance and maximise the absorption of millimetre waves, while minimising the cross section to
 
−
particles. The absorber is designed to offer equal impedance to
 
−
any linearly polarised radiation. Nevertheless, the thermometer
 
−
and its electrical leads define a privileged orientation (Fig. SWB) that
 
−
makes the SWBs slightly sensitive to polarisation, as detailed in
 
−
(Rosset et al. 2010). The thermometers are
 
−
made of neutron transmuted doped (NTD) germanium (Haller
 
−
et al. 1996), chosen to have an impedance of about 10 MΩ at
 
−
their operating temperature.
 
−
 
 
−
 
 
−
[[File:FPiacentini_bolo1.png|500px|
 
−
((Illustration 6)): Picture of a spider web bolometer. This a 143 GHz module, The temperature sensor is at the center of the absorbing grid]]
 
−
 
 
−
 
 
−
 
 
−
The absorber of PSBs is a rectangular grid (Fig. PSB) with metallization in one direction (Jones et al.
 
−
2003). Electrical fields
 
−
parallel to this direction develop currents and then deposit some
 
−
power in the grid, while perpendicular electrical fields propagate through the grid without significant interaction. A second
 
−
PSB perpendicular to the first one absorbs the other polarisation.
 
−
Such a PSB pair measures two polarisations of radiation collected by the same horns and filtered by the same devices, which
 
−
minimises the systematic effects: differences between polarised
 
−
beams collected by a given horn are typically less than −30 dB of
 
−
the peak. The differences in the spectral responses of a PSB pair
 
−
also proved to be a few percent in the worst case. Each pair
 
−
of PSBs sharing the same horn is able to measure the intensity
 
−
Stokes parameter and the Q parameter associated with its local
 
−
frame. An associated pair of PSBs rotated by 45◦ scans exactly
 
−
the same line (if the geometrical alignment is perfect), providing
 
−
the U Stokes parameter.
 
−
 
 
−
 
 
−
[[File:FPiacentini_bolo2.png|500px|
 
−
Picture of a polarization sensitive bolometer. This a 217 GHz module, The temperature sensor is at the an edge  of the absorbing grid]]
 
−
 
 
−
 
 
−
 
 
−
 
 
−
 
 
−
 
 
−
=== JFETs===
 
−
=== Readout===
 
−
=== Data compression===
 
−
=== Time response.===
 
−
 
 
−
 
 
−
 
 
−
The HFI bolometers and readout electronics have a finite response time to changes in incident optical power.  The bolometers are thermal detectors of radiation whose response time is determined by the thermal circuit defined by the heat capacity of the detector and thermal conductivity.
 
−
 
 
−
Due to Planck's nearly constant scan rate, the time response is degenerate with the optical beam.  However, because of the long time scale effects present in the time response, the  time response is deconvolved from the data in the processing of the HFI data (see [[TOI processing|TOI processing]]).
 
−
 
 
−
The time response of the HFI bolometers and readout electronics is modeled as a Fourier domain transfer function (called the LFER4 model) consisting of the product of an bolometer thermal response <math>F(\omega)</math> and an electronics response <math>H'(\omega)</math>.
 
−
 
 
−
<math>\label{LFER4def}TF^{LFER4}(\omega) = F(\omega) H'(\omega)</math>
 
−
 
 
−
=== LFER4 model ===
 
−
 
 
−
If we write the input signal (power) on a bolometer as <math>\label{bol_in}
 
−
s_0(t)=e^{i\omega t}
 
−
</math> the bolometer physical impedance can be written as: <math>\label{bol_out}
 
−
s(t)=e^{i\omega t}F(\omega)
 
−
</math> where <math>\omega</math> is the angular frequency of the signal and <math>F(\omega)</math> is the complex intrinsic bolometer transfer function. For HFI the bolometer transfer function is modelled as the sum of 4 single pole low pass filters: <math>\label{bol_tf}
 
−
F(\omega) = \sum_{i=0,4} \frac{a_i}{1 + i\omega\tau_i}
 
−
</math> The modulation of the signal is done with a square wave, written here as a composition of sine waves of decreasing amplitude: <math>\label{sigmod}
 
−
s'(t)=e^{i\omega t}F(\omega)\sum_{k=0}^{\infty} \frac{e^{i\omega_r(2k+1)t}-e^{-i\omega_r(2k+1)t}}{2i(2k+1)}
 
−
</math> where we have used the Euler relation <math>\sin x=(e^{ix}-e^{-ix})/2i</math> and <math>\omega_r</math> is the angular frequency of the square wave. The modulation frequency is <math>f_{mod} = \omega_r/2\pi</math> and was set to <math>f_{mod} = 90.18759 </math>Hz in flight. This signal is then filtered by the complex electronic transfer function <math>H(\omega)</math>. Setting: <math>\omega_k^+=\omega+(2k+1)\omega_r</math> <math>\omega_k^-=\omega-(2k+1)\omega_r</math> we have: <math>\label{sigele}
 
−
\Sigma(t)=\sum_{k=0}^\infty\frac{F(\omega)}{2i(2k+1)}\left[H(\omega_k^+)e^{i\omega_k^+t}-H(\omega_k^-)e^{i\omega_k^-t}\right]
 
−
</math> This signal is then sampled at high frequency (<math>2 f_{mod} NS</math>). <math>NS</math> is one of the parameters of the HFI electronics and corresponds to the number of high frequency samples in each modulation semi-period. In order to obtain an output signal sampled every <math>\pi/\omega_r</math> seconds, we must integrate on a semiperiod, as done in the HFI readout. To also include a time shift <math>\Delta t</math>, the integral is calculated between <math>n\pi/\omega_r+\Delta t</math> and <math>(n+1)\pi/\omega_r+\Delta t</math> (with <math>T=2 \pi/\omega_r</math> period of the modulation). The time shift <math>\Delta t</math> is encoded in the HFI electronics by the parameter <math>S_{phase}</math>, with the relation <math>\Delta t = S_{phase}/NS/f_{mod} </math>.
 
−
 
 
−
After integration, the <math>n</math>-sample of a bolometer can be written as <math>\label{eqn:output}
 
−
Y(t_n) = (-1)^n F(\omega) H'(\omega) e^{i t_n \omega}
 
−
</math> where <math>\label{tfele}
 
−
H'(\omega) = \frac 12 \sum_{k=0}^\infty
 
−
e^{-i(\frac{\pi\omega}{2\omega_r}+\omega\Delta t)} \Bigg[
 
−
\frac{H(\omega_k^+)e^{i\omega_k^+ \Delta t}}{(2k+1)\omega_k^+}
 
−
\left(1-e^{\frac{i\omega_k^+\pi}{\omega_r}}\right)
 
−
\\ - \frac{H(\omega_k^-)e^{i\omega_k^- \Delta t}}{(2k+1)\omega_k^-}  \left(1-e^{\frac{i\omega_k^-\pi}{\omega_r}}\right)
 
−
\Bigg]
 
−
</math>
 
−
 
 
−
The output signal in equation eqn:output can be demodulated (thus removing the <math>(-1)^n</math>) and compared to the input signal in equation bol_in. The overall transfer function is composed of the bolometer transfer function and the effective electronics transfer function, <math>H'(\omega)</math>: <math>TF(\omega) = F(\omega) H'(\omega)
 
−
</math>
 
−
 
 
−
The shape of <math>H(\omega)</math> is obtained combining low and high-pass filters with Sallen Key topologies (with their respective time constants) and accounting also for the stray capacitance low pass filter given by the bolometer impedance combined with the stray capacitance of the cables. The sequence of filters that define the electronic band-pass function <math>H(\omega) = h_0*h_1*h_2*h_3*h_4*h_{5}</math> are listed in table table:readout_electronics_filters.
 
−
 
 
−
=== Parameters of LFER4 model ===
 
−
 
 
−
The LFER4 model has are a total of 10 parameters(<math>A_1</math>,<math>A_2</math>,<math>A_3</math>,<math>A_4</math>,<math>\tau_1</math>,<math>\tau_2</math>,<math>\tau_3</math>,<math>\tau_4</math>,<math>S_{phase}</math>,<math>\tau_{stray}</math>) 9 of which are independent, for each bolometer. The free parameters of the LFER4 model are determined using in-flight data in the following ways:
 
−
 
 
−
* <math>S_{phase}</math> is fixed at the value of the REU setting.
 
−
* <math>\tau_{stray}</math> is measured during the QEC test during CPV.
 
−
* <math>A_1</math>, <math>\tau_1</math>, <math>A_2</math>, <math>\tau_2</math> are fit forcing the compactness of the scanning beam.
 
−
* <math>A_3</math>, <math>\tau_3</math>, <math>A_{4}</math> <math>\tau_4</math> are fit by forcing agreement of survey 2 and survey 1 maps.
 
−
* The overall normalization of the LFER4 model is forced to be 1.0 at the signal frequency of the dipole. 
 
−
 
 
−
The details of determining the model parameters are given in (reference P03c paper) and the best-fit parameters listed here in table table:LFER4pars.
 
−
 
 
−
 
 
−
===HFI electronics filter sequence ===
 
−
 
 
−
{| class="wikitable" style="text-align: left; border-collapse: collapse; border-width: 1px; border-style: solid; border-color: #000"
 
−
|+HFI electronics filter sequence. We define $s = i \omega$
 
−
|-
 
−
! style="border-style: solid; border-width: 1px"|Filter
 
−
! style="border-style: solid; border-width: 1px"|Parameters
 
−
! style="border-style: solid; border-width: 1px"|Function
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|0. Stray capacitance low pass filter
 
−
|style="border-style: solid; border-width: 1px"|<math>\tau_{stray}= R_{bolo} C_{stray}</math>
 
−
|style="border-style: solid; border-width: 1px"|<math>h_0 = \frac{1}{1.0+\tau_{stray}*s}</math>
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|1. Low pass filter
 
−
|style="border-style: solid; border-width: 1px"|<math>R_1=1</math>k<math>\Omega</math> <br /> <math>C_1=100</math>nF
 
−
|style="border-style: solid; border-width: 1px"|<math>h_1 = \frac{2.0+R_1*C_1*s}{2.0*(1.0+R_1*C_1*s)}</math>
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|2. Sallen Key high pass filter
 
−
|style="border-style: solid; border-width: 1px"|<math>R_2=51</math>k<math>\Omega</math><br /> <math>C_2=1\mu</math>
 
−
|style="border-style: solid; border-width: 1px"|<math>h_2= \frac{(R_2*C_2*s)^2}{(1.0+R_2*C_2*s)^2}</math>3
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|3. Sign reverse with gain
 
−
|style="border-style: solid; border-width: 1px"|
 
−
|style="border-style: solid; border-width: 1px"|<math>h_3=-5.1</math>
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|4. Single pole low pass filter with gain
 
−
|style="border-style: solid; border-width: 1px"|<math>R_4=10</math>k<math>\Omega</math><br /> <math>C_4=10</math>nF
 
−
|style="border-style: solid; border-width: 1px"|<math>h_4= \frac{1.5}{1.0+R_4*C_4*s}</math>
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|5. Single pole high pass filter coupled to a Sallen Key low pass filter
 
−
|style="border-style: solid; border-width: 1px"|<math>R_9=18.7</math>k<math>\Omega</math><br /><math>R_{12}=37.4</math>k<math>\Omega</math><br /> <math>C=10.0</math>nF<br /><math>R_{78}=510</math>k<math>\Omega</math><br /> <math>C_{18}=1.0\mu</math>F<br /><math>K_3 = R_9^2*R_{78}*R_{12}^2*C^2*C_{18}</math><br /> <math>K_2 = R_9*R_{12}^2*R_{78}*C^2+R_{9}^2*R_{12}^2*C^2+R_9*R_{12}^2*R_{78}*C_{18}*C</math><br /> <math>K_1 =R_9*R_{12}^2*C+R_{12}*R_{78}*R_9*C_{18}</math>
 
−
|style="border-style: solid; border-width: 1px"|<math>h_{5} = \frac{2.0*R_{12}*R_9*R_{78}*C_{18}*s}{s^3*K_3 +
 
−
      s^2*K_2+
 
−
      s*K_1 + R_{12}*R_9 } </math>
 
−
 
 
−
|}
 
−
 
 
−
 
 
−
 
 
−
{| class="wikitable" style="text-align: left; align: center; border-collapse: collapse; border-width: 1px; border-style: solid; border-color: #000"
 
−
|+ Parameters for LFER4 model.
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|Bolometer
 
−
|style="border-style: solid; border-width: 1px"|<math>A_1</math>
 
−
|style="border-style: solid; border-width: 1px"|<math>\tau_1</math> (s)
 
−
|style="border-style: solid; border-width: 1px"|<math>A_2</math>
 
−
|style="border-style: solid; border-width: 1px"|<math>\tau_2</math> (s)
 
−
|style="border-style: solid; border-width: 1px"|<math>A_3</math>
 
−
|style="border-style: solid; border-width: 1px"|<math>\tau_3</math> (s)
 
−
|style="border-style: solid; border-width: 1px"|<math>A_4</math>
 
−
|style="border-style: solid; border-width: 1px"|<math>\tau_4</math> (s)
 
−
|style="border-style: solid; border-width: 1px"|<math>\tau_{stray}</math> (s)
 
−
|style="border-style: solid; border-width: 1px"|<math>S_{phase}</math>
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|100-1a
 
−
|style="border-style: solid; border-width: 1px"|0.392
 
−
|style="border-style: solid; border-width: 1px"|0.01
 
−
|style="border-style: solid; border-width: 1px"|0.534
 
−
|style="border-style: solid; border-width: 1px"|0.0209
 
−
|style="border-style: solid; border-width: 1px"|0.0656
 
−
|style="border-style: solid; border-width: 1px"|0.0513
 
−
|style="border-style: solid; border-width: 1px"|0.00833
 
−
|style="border-style: solid; border-width: 1px"|0.572
 
−
|style="border-style: solid; border-width: 1px"|0.00159
 
−
|style="border-style: solid; border-width: 1px"|0.00139
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|100-1b
 
−
|style="border-style: solid; border-width: 1px"|0.484
 
−
|style="border-style: solid; border-width: 1px"|0.0103
 
−
|style="border-style: solid; border-width: 1px"|0.463
 
−
|style="border-style: solid; border-width: 1px"|0.0192
 
−
|style="border-style: solid; border-width: 1px"|0.0451
 
−
|style="border-style: solid; border-width: 1px"|0.0714
 
−
|style="border-style: solid; border-width: 1px"|0.00808
 
−
|style="border-style: solid; border-width: 1px"|0.594
 
−
|style="border-style: solid; border-width: 1px"|0.00149
 
−
|style="border-style: solid; border-width: 1px"|0.00139
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|100-2a
 
−
|style="border-style: solid; border-width: 1px"|0.474
 
−
|style="border-style: solid; border-width: 1px"|0.00684
 
−
|style="border-style: solid; border-width: 1px"|0.421
 
−
|style="border-style: solid; border-width: 1px"|0.0136
 
−
|style="border-style: solid; border-width: 1px"|0.0942
 
−
|style="border-style: solid; border-width: 1px"|0.0376
 
−
|style="border-style: solid; border-width: 1px"|0.0106
 
−
|style="border-style: solid; border-width: 1px"|0.346
 
−
|style="border-style: solid; border-width: 1px"|0.00132
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|100-2b
 
−
|style="border-style: solid; border-width: 1px"|0.126
 
−
|style="border-style: solid; border-width: 1px"|0.00584
 
−
|style="border-style: solid; border-width: 1px"|0.717
 
−
|style="border-style: solid; border-width: 1px"|0.0151
 
−
|style="border-style: solid; border-width: 1px"|0.142
 
−
|style="border-style: solid; border-width: 1px"|0.0351
 
−
|style="border-style: solid; border-width: 1px"|0.0145
 
−
|style="border-style: solid; border-width: 1px"|0.293
 
−
|style="border-style: solid; border-width: 1px"|0.00138
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|100-3a
 
−
|style="border-style: solid; border-width: 1px"|0.744
 
−
|style="border-style: solid; border-width: 1px"|0.00539
 
−
|style="border-style: solid; border-width: 1px"|0.223
 
−
|style="border-style: solid; border-width: 1px"|0.0147
 
−
|style="border-style: solid; border-width: 1px"|0.0262
 
−
|style="border-style: solid; border-width: 1px"|0.0586
 
−
|style="border-style: solid; border-width: 1px"|0.00636
 
−
|style="border-style: solid; border-width: 1px"|0.907
 
−
|style="border-style: solid; border-width: 1px"|0.00142
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|100-3b
 
−
|style="border-style: solid; border-width: 1px"|0.608
 
−
|style="border-style: solid; border-width: 1px"|0.00548
 
−
|style="border-style: solid; border-width: 1px"|0.352
 
−
|style="border-style: solid; border-width: 1px"|0.0155
 
−
|style="border-style: solid; border-width: 1px"|0.0321
 
−
|style="border-style: solid; border-width: 1px"|0.0636
 
−
|style="border-style: solid; border-width: 1px"|0.00821
 
−
|style="border-style: solid; border-width: 1px"|0.504
 
−
|style="border-style: solid; border-width: 1px"|0.00166
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|100-4a
 
−
|style="border-style: solid; border-width: 1px"|0.411
 
−
|style="border-style: solid; border-width: 1px"|0.0082
 
−
|style="border-style: solid; border-width: 1px"|0.514
 
−
|style="border-style: solid; border-width: 1px"|0.0178
 
−
|style="border-style: solid; border-width: 1px"|0.0581
 
−
|style="border-style: solid; border-width: 1px"|0.0579
 
−
|style="border-style: solid; border-width: 1px"|0.0168
 
−
|style="border-style: solid; border-width: 1px"|0.37
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|100-4b
 
−
|style="border-style: solid; border-width: 1px"|0.687
 
−
|style="border-style: solid; border-width: 1px"|0.0113
 
−
|style="border-style: solid; border-width: 1px"|0.282
 
−
|style="border-style: solid; border-width: 1px"|0.0243
 
−
|style="border-style: solid; border-width: 1px"|0.0218
 
−
|style="border-style: solid; border-width: 1px"|0.062
 
−
|style="border-style: solid; border-width: 1px"|0.00875
 
−
|style="border-style: solid; border-width: 1px"|0.431
 
−
|style="border-style: solid; border-width: 1px"|0.00138
 
−
|style="border-style: solid; border-width: 1px"|0.00139
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-1a
 
−
|style="border-style: solid; border-width: 1px"|0.817
 
−
|style="border-style: solid; border-width: 1px"|0.00447
 
−
|style="border-style: solid; border-width: 1px"|0.144
 
−
|style="border-style: solid; border-width: 1px"|0.0121
 
−
|style="border-style: solid; border-width: 1px"|0.0293
 
−
|style="border-style: solid; border-width: 1px"|0.0387
 
−
|style="border-style: solid; border-width: 1px"|0.0101
 
−
|style="border-style: solid; border-width: 1px"|0.472
 
−
|style="border-style: solid; border-width: 1px"|0.00142
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-1b
 
−
|style="border-style: solid; border-width: 1px"|0.49
 
−
|style="border-style: solid; border-width: 1px"|0.00472
 
−
|style="border-style: solid; border-width: 1px"|0.333
 
−
|style="border-style: solid; border-width: 1px"|0.0156
 
−
|style="border-style: solid; border-width: 1px"|0.134
 
−
|style="border-style: solid; border-width: 1px"|0.0481
 
−
|style="border-style: solid; border-width: 1px"|0.0435
 
−
|style="border-style: solid; border-width: 1px"|0.27
 
−
|style="border-style: solid; border-width: 1px"|0.00149
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-2a
 
−
|style="border-style: solid; border-width: 1px"|0.909
 
−
|style="border-style: solid; border-width: 1px"|0.0047
 
−
|style="border-style: solid; border-width: 1px"|0.0763
 
−
|style="border-style: solid; border-width: 1px"|0.017
 
−
|style="border-style: solid; border-width: 1px"|0.00634
 
−
|style="border-style: solid; border-width: 1px"| 0.1
 
−
|style="border-style: solid; border-width: 1px"|0.00871
 
−
|style="border-style: solid; border-width: 1px"|0.363
 
−
|style="border-style: solid; border-width: 1px"|0.00148
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-2b
 
−
|style="border-style: solid; border-width: 1px"|0.912
 
−
|style="border-style: solid; border-width: 1px"|0.00524
 
−
|style="border-style: solid; border-width: 1px"|0.0509
 
−
|style="border-style: solid; border-width: 1px"|0.0167
 
−
|style="border-style: solid; border-width: 1px"|0.0244
 
−
|style="border-style: solid; border-width: 1px"|0.0265
 
−
|style="border-style: solid; border-width: 1px"|0.0123
 
−
|style="border-style: solid; border-width: 1px"|0.295
 
−
|style="border-style: solid; border-width: 1px"|0.00146
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-3a
 
−
|style="border-style: solid; border-width: 1px"|0.681
 
−
|style="border-style: solid; border-width: 1px"|0.00419
 
−
|style="border-style: solid; border-width: 1px"|0.273
 
−
|style="border-style: solid; border-width: 1px"|0.00956
 
−
|style="border-style: solid; border-width: 1px"|0.0345
 
−
|style="border-style: solid; border-width: 1px"|0.0348
 
−
|style="border-style: solid; border-width: 1px"|0.0115
 
−
|style="border-style: solid; border-width: 1px"|0.317
 
−
|style="border-style: solid; border-width: 1px"|0.00145
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-3b
 
−
|style="border-style: solid; border-width: 1px"|0.82
 
−
|style="border-style: solid; border-width: 1px"|0.00448
 
−
|style="border-style: solid; border-width: 1px"|0.131
 
−
|style="border-style: solid; border-width: 1px"|0.0132
 
−
|style="border-style: solid; border-width: 1px"|0.0354
 
−
|style="border-style: solid; border-width: 1px"|0.0351
 
−
|style="border-style: solid; border-width: 1px"|0.0133
 
−
|style="border-style: solid; border-width: 1px"|0.283
 
−
|style="border-style: solid; border-width: 1px"|0.00161
 
−
|style="border-style: solid; border-width: 1px"|0.000832
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-4a
 
−
|style="border-style: solid; border-width: 1px"|0.914
 
−
|style="border-style: solid; border-width: 1px"|0.00569
 
−
|style="border-style: solid; border-width: 1px"|0.072
 
−
|style="border-style: solid; border-width: 1px"|0.0189
 
−
|style="border-style: solid; border-width: 1px"|0.00602
 
−
|style="border-style: solid; border-width: 1px"|0.0482
 
−
|style="border-style: solid; border-width: 1px"|0.00756
 
−
|style="border-style: solid; border-width: 1px"|0.225
 
−
|style="border-style: solid; border-width: 1px"|0.00159
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-4b
 
−
|style="border-style: solid; border-width: 1px"|0.428
 
−
|style="border-style: solid; border-width: 1px"|0.00606
 
−
|style="border-style: solid; border-width: 1px"|0.508
 
−
|style="border-style: solid; border-width: 1px"|0.00606
 
−
|style="border-style: solid; border-width: 1px"|0.0554
 
−
|style="border-style: solid; border-width: 1px"|0.0227
 
−
|style="border-style: solid; border-width: 1px"|0.00882
 
−
|style="border-style: solid; border-width: 1px"|0.084
 
−
|style="border-style: solid; border-width: 1px"|0.00182
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-5
 
−
|style="border-style: solid; border-width: 1px"|0.491
 
−
|style="border-style: solid; border-width: 1px"|0.00664
 
−
|style="border-style: solid; border-width: 1px"|0.397
 
−
|style="border-style: solid; border-width: 1px"|0.00664
 
−
|style="border-style: solid; border-width: 1px"|0.0962
 
−
|style="border-style: solid; border-width: 1px"|0.0264
 
−
|style="border-style: solid; border-width: 1px"|0.0156
 
−
|style="border-style: solid; border-width: 1px"|0.336
 
−
|style="border-style: solid; border-width: 1px"|0.00202
 
−
|style="border-style: solid; border-width: 1px"|0.00139
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-6
 
−
|style="border-style: solid; border-width: 1px"|0.518
 
−
|style="border-style: solid; border-width: 1px"|0.00551
 
−
|style="border-style: solid; border-width: 1px"|0.409
 
−
|style="border-style: solid; border-width: 1px"|0.00551
 
−
|style="border-style: solid; border-width: 1px"|0.0614
 
−
|style="border-style: solid; border-width: 1px"|0.0266
 
−
|style="border-style: solid; border-width: 1px"|0.0116
 
−
|style="border-style: solid; border-width: 1px"|0.314
 
−
|style="border-style: solid; border-width: 1px"|0.00153
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|143-7
 
−
|style="border-style: solid; border-width: 1px"|0.414
 
−
|style="border-style: solid; border-width: 1px"|0.00543
 
−
|style="border-style: solid; border-width: 1px"|0.562
 
−
|style="border-style: solid; border-width: 1px"|0.00543
 
−
|style="border-style: solid; border-width: 1px"|0.0185
 
−
|style="border-style: solid; border-width: 1px"|0.0449
 
−
|style="border-style: solid; border-width: 1px"|0.00545
 
−
|style="border-style: solid; border-width: 1px"|0.314
 
−
|style="border-style: solid; border-width: 1px"|0.00186
 
−
|style="border-style: solid; border-width: 1px"|0.00139
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-5a
 
−
|style="border-style: solid; border-width: 1px"|0.905
 
−
|style="border-style: solid; border-width: 1px"|0.00669
 
−
|style="border-style: solid; border-width: 1px"|0.0797
 
−
|style="border-style: solid; border-width: 1px"|0.0216
 
−
|style="border-style: solid; border-width: 1px"|0.00585
 
−
|style="border-style: solid; border-width: 1px"|0.0658
 
−
|style="border-style: solid; border-width: 1px"|0.00986
 
−
|style="border-style: solid; border-width: 1px"|0.342
 
−
|style="border-style: solid; border-width: 1px"|0.00157
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-5b
 
−
|style="border-style: solid; border-width: 1px"|0.925
 
−
|style="border-style: solid; border-width: 1px"|0.00576
 
−
|style="border-style: solid; border-width: 1px"|0.061
 
−
|style="border-style: solid; border-width: 1px"|0.018
 
−
|style="border-style: solid; border-width: 1px"|0.00513
 
−
|style="border-style: solid; border-width: 1px"|0.0656
 
−
|style="border-style: solid; border-width: 1px"|0.0094
 
−
|style="border-style: solid; border-width: 1px"|0.287
 
−
|style="border-style: solid; border-width: 1px"|0.00187
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-6a
 
−
|style="border-style: solid; border-width: 1px"|0.844
 
−
|style="border-style: solid; border-width: 1px"|0.00645
 
−
|style="border-style: solid; border-width: 1px"|0.0675
 
−
|style="border-style: solid; border-width: 1px"|0.0197
 
−
|style="border-style: solid; border-width: 1px"|0.0737
 
−
|style="border-style: solid; border-width: 1px"|0.0316
 
−
|style="border-style: solid; border-width: 1px"|0.0147
 
−
|style="border-style: solid; border-width: 1px"|0.297
 
−
|style="border-style: solid; border-width: 1px"|0.00154
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-6b
 
−
|style="border-style: solid; border-width: 1px"|0.284
 
−
|style="border-style: solid; border-width: 1px"|0.00623
 
−
|style="border-style: solid; border-width: 1px"|0.666
 
−
|style="border-style: solid; border-width: 1px"|0.00623
 
−
|style="border-style: solid; border-width: 1px"|0.0384
 
−
|style="border-style: solid; border-width: 1px"|0.024
 
−
|style="border-style: solid; border-width: 1px"|0.0117
 
−
|style="border-style: solid; border-width: 1px"|0.15
 
−
|style="border-style: solid; border-width: 1px"|0.00146
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-7a
 
−
|style="border-style: solid; border-width: 1px"|0.343
 
−
|style="border-style: solid; border-width: 1px"|0.00548
 
−
|style="border-style: solid; border-width: 1px"|0.574
 
−
|style="border-style: solid; border-width: 1px"|0.00548
 
−
|style="border-style: solid; border-width: 1px"|0.0717
 
−
|style="border-style: solid; border-width: 1px"|0.023
 
−
|style="border-style: solid; border-width: 1px"|0.0107
 
−
|style="border-style: solid; border-width: 1px"|0.32
 
−
|style="border-style: solid; border-width: 1px"|0.00152
 
−
|style="border-style: solid; border-width: 1px"|0.00139
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-7b
 
−
|style="border-style: solid; border-width: 1px"|0.846
 
−
|style="border-style: solid; border-width: 1px"|0.00507
 
−
|style="border-style: solid; border-width: 1px"|0.127
 
−
|style="border-style: solid; border-width: 1px"|0.0144
 
−
|style="border-style: solid; border-width: 1px"|0.0131
 
−
|style="border-style: solid; border-width: 1px"|0.0479
 
−
|style="border-style: solid; border-width: 1px"|0.0133
 
−
|style="border-style: solid; border-width: 1px"|0.311
 
−
|style="border-style: solid; border-width: 1px"|0.00151
 
−
|style="border-style: solid; border-width: 1px"|0.00139
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-8a
 
−
|style="border-style: solid; border-width: 1px"|0.496
 
−
|style="border-style: solid; border-width: 1px"|0.00722
 
−
|style="border-style: solid; border-width: 1px"|0.439
 
−
|style="border-style: solid; border-width: 1px"|0.00722
 
−
|style="border-style: solid; border-width: 1px"|0.0521
 
−
|style="border-style: solid; border-width: 1px"|0.0325
 
−
|style="border-style: solid; border-width: 1px"|0.0128
 
−
|style="border-style: solid; border-width: 1px"|0.382
 
−
|style="border-style: solid; border-width: 1px"|0.00179
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-8b
 
−
|style="border-style: solid; border-width: 1px"|0.512
 
−
|style="border-style: solid; border-width: 1px"|0.00703
 
−
|style="border-style: solid; border-width: 1px"|0.41
 
−
|style="border-style: solid; border-width: 1px"|0.00703
 
−
|style="border-style: solid; border-width: 1px"|0.0639
 
−
|style="border-style: solid; border-width: 1px"|0.0272
 
−
|style="border-style: solid; border-width: 1px"|0.0139
 
−
|style="border-style: solid; border-width: 1px"|0.232
 
−
|style="border-style: solid; border-width: 1px"|0.00173
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-1
 
−
|style="border-style: solid; border-width: 1px"|0.0136
 
−
|style="border-style: solid; border-width: 1px"|0.00346
 
−
|style="border-style: solid; border-width: 1px"|0.956
 
−
|style="border-style: solid; border-width: 1px"|0.00346
 
−
|style="border-style: solid; border-width: 1px"|0.0271
 
−
|style="border-style: solid; border-width: 1px"|0.0233
 
−
|style="border-style: solid; border-width: 1px"|0.00359
 
−
|style="border-style: solid; border-width: 1px"|1.98
 
−
|style="border-style: solid; border-width: 1px"|0.00159
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-2
 
−
|style="border-style: solid; border-width: 1px"|0.978
 
−
|style="border-style: solid; border-width: 1px"|0.00352
 
−
|style="border-style: solid; border-width: 1px"|0.014
 
−
|style="border-style: solid; border-width: 1px"|0.0261
 
−
|style="border-style: solid; border-width: 1px"|0.00614
 
−
|style="border-style: solid; border-width: 1px"|0.042
 
−
|style="border-style: solid; border-width: 1px"|0.00194
 
−
|style="border-style: solid; border-width: 1px"|0.686
 
−
|style="border-style: solid; border-width: 1px"|0.0016
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-3
 
−
|style="border-style: solid; border-width: 1px"|0.932
 
−
|style="border-style: solid; border-width: 1px"|0.00355
 
−
|style="border-style: solid; border-width: 1px"|0.0336
 
−
|style="border-style: solid; border-width: 1px"|0.00355
 
−
|style="border-style: solid; border-width: 1px"|0.0292
 
−
|style="border-style: solid; border-width: 1px"|0.0324
 
−
|style="border-style: solid; border-width: 1px"|0.00491
 
−
|style="border-style: solid; border-width: 1px"|0.279
 
−
|style="border-style: solid; border-width: 1px"|0.00174
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|217-4
 
−
|style="border-style: solid; border-width: 1px"|0.658
 
−
|style="border-style: solid; border-width: 1px"|0.00135
 
−
|style="border-style: solid; border-width: 1px"|0.32
 
−
|style="border-style: solid; border-width: 1px"|0.00555
 
−
|style="border-style: solid; border-width: 1px"|0.0174
 
−
|style="border-style: solid; border-width: 1px"|0.0268
 
−
|style="border-style: solid; border-width: 1px"|0.00424
 
−
|style="border-style: solid; border-width: 1px"|0.473
 
−
|style="border-style: solid; border-width: 1px"|0.00171
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-3a
 
−
|style="border-style: solid; border-width: 1px"|0.554
 
−
|style="border-style: solid; border-width: 1px"|0.00704
 
−
|style="border-style: solid; border-width: 1px"|0.36
 
−
|style="border-style: solid; border-width: 1px"|0.00704
 
−
|style="border-style: solid; border-width: 1px"|0.0699
 
−
|style="border-style: solid; border-width: 1px"|0.0305
 
−
|style="border-style: solid; border-width: 1px"|0.0163
 
−
|style="border-style: solid; border-width: 1px"|0.344
 
−
|style="border-style: solid; border-width: 1px"|0.0017
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-3b
 
−
|style="border-style: solid; border-width: 1px"|0.219
 
−
|style="border-style: solid; border-width: 1px"|0.00268
 
−
|style="border-style: solid; border-width: 1px"|0.671
 
−
|style="border-style: solid; border-width: 1px"|0.00695
 
−
|style="border-style: solid; border-width: 1px"|0.0977
 
−
|style="border-style: solid; border-width: 1px"|0.0238
 
−
|style="border-style: solid; border-width: 1px"|0.0119
 
−
|style="border-style: solid; border-width: 1px"|0.289
 
−
|style="border-style: solid; border-width: 1px"|0.00157
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-4a
 
−
|style="border-style: solid; border-width: 1px"|0.768
 
−
|style="border-style: solid; border-width: 1px"|0.00473
 
−
|style="border-style: solid; border-width: 1px"|0.198
 
−
|style="border-style: solid; border-width: 1px"|0.00993
 
−
|style="border-style: solid; border-width: 1px"|0.0283
 
−
|style="border-style: solid; border-width: 1px"|0.0505
 
−
|style="border-style: solid; border-width: 1px"|0.00628
 
−
|style="border-style: solid; border-width: 1px"|0.536
 
−
|style="border-style: solid; border-width: 1px"|0.00181
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-4b
 
−
|style="border-style: solid; border-width: 1px"|0.684
 
−
|style="border-style: solid; border-width: 1px"|0.00454
 
−
|style="border-style: solid; border-width: 1px"|0.224
 
−
|style="border-style: solid; border-width: 1px"|0.0108
 
−
|style="border-style: solid; border-width: 1px"|0.0774
 
−
|style="border-style: solid; border-width: 1px"|0.08
 
−
|style="border-style: solid; border-width: 1px"|0.0149
 
−
|style="border-style: solid; border-width: 1px"|0.267
 
−
|style="border-style: solid; border-width: 1px"|0.00166
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-5a
 
−
|style="border-style: solid; border-width: 1px"|0.767
 
−
|style="border-style: solid; border-width: 1px"|0.00596
 
−
|style="border-style: solid; border-width: 1px"|0.159
 
−
|style="border-style: solid; border-width: 1px"|0.0124
 
−
|style="border-style: solid; border-width: 1px"|0.0628
 
−
|style="border-style: solid; border-width: 1px"|0.0303
 
−
|style="border-style: solid; border-width: 1px"|0.0109
 
−
|style="border-style: solid; border-width: 1px"|0.357
 
−
|style="border-style: solid; border-width: 1px"|0.00156
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-5b
 
−
|style="border-style: solid; border-width: 1px"|0.832
 
−
|style="border-style: solid; border-width: 1px"|0.00619
 
−
|style="border-style: solid; border-width: 1px"|0.126
 
−
|style="border-style: solid; border-width: 1px"|0.0111
 
−
|style="border-style: solid; border-width: 1px"|0.0324
 
−
|style="border-style: solid; border-width: 1px"|0.035
 
−
|style="border-style: solid; border-width: 1px"|0.0096
 
−
|style="border-style: solid; border-width: 1px"|0.397
 
−
|style="border-style: solid; border-width: 1px"|0.00166
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-6a
 
−
|style="border-style: solid; border-width: 1px"|0.0487
 
−
|style="border-style: solid; border-width: 1px"|0.00176
 
−
|style="border-style: solid; border-width: 1px"|0.855
 
−
|style="border-style: solid; border-width: 1px"|0.006
 
−
|style="border-style: solid; border-width: 1px"|0.0856
 
−
|style="border-style: solid; border-width: 1px"|0.0216
 
−
|style="border-style: solid; border-width: 1px"|0.0105
 
−
|style="border-style: solid; border-width: 1px"|0.222
 
−
|style="border-style: solid; border-width: 1px"|0.00199
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-6b
 
−
|style="border-style: solid; border-width: 1px"|0.829
 
−
|style="border-style: solid; border-width: 1px"|0.00561
 
−
|style="border-style: solid; border-width: 1px"|0.127
 
−
|style="border-style: solid; border-width: 1px"|0.00561
 
−
|style="border-style: solid; border-width: 1px"|0.0373
 
−
|style="border-style: solid; border-width: 1px"|0.0252
 
−
|style="border-style: solid; border-width: 1px"|0.00696
 
−
|style="border-style: solid; border-width: 1px"|0.36
 
−
|style="border-style: solid; border-width: 1px"|0.00228
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-1
 
−
|style="border-style: solid; border-width: 1px"|0.41
 
−
|style="border-style: solid; border-width: 1px"|0.000743
 
−
|style="border-style: solid; border-width: 1px"|0.502
 
−
|style="border-style: solid; border-width: 1px"|0.00422
 
−
|style="border-style: solid; border-width: 1px"|0.0811
 
−
|style="border-style: solid; border-width: 1px"|0.0177
 
−
|style="border-style: solid; border-width: 1px"|0.0063
 
−
|style="border-style: solid; border-width: 1px"|0.329
 
−
|style="border-style: solid; border-width: 1px"|0.00132
 
−
|style="border-style: solid; border-width: 1px"|0.00097
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-2
 
−
|style="border-style: solid; border-width: 1px"|0.747
 
−
|style="border-style: solid; border-width: 1px"|0.00309
 
−
|style="border-style: solid; border-width: 1px"|0.225
 
−
|style="border-style: solid; border-width: 1px"|0.00726
 
−
|style="border-style: solid; border-width: 1px"|0.0252
 
−
|style="border-style: solid; border-width: 1px"|0.0447
 
−
|style="border-style: solid; border-width: 1px"|0.00267
 
−
|style="border-style: solid; border-width: 1px"|0.513
 
−
|style="border-style: solid; border-width: 1px"|0.00154
 
−
|style="border-style: solid; border-width: 1px"|0.00097
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-7
 
−
|style="border-style: solid; border-width: 1px"|0.448
 
−
|style="border-style: solid; border-width: 1px"|0.0009
 
−
|style="border-style: solid; border-width: 1px"|0.537
 
−
|style="border-style: solid; border-width: 1px"|0.0041
 
−
|style="border-style: solid; border-width: 1px"|0.0122
 
−
|style="border-style: solid; border-width: 1px"|0.0273
 
−
|style="border-style: solid; border-width: 1px"|0.00346
 
−
|style="border-style: solid; border-width: 1px"|0.433
 
−
|style="border-style: solid; border-width: 1px"|0.00178
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|353-8
 
−
|style="border-style: solid; border-width: 1px"|0.718
 
−
|style="border-style: solid; border-width: 1px"|0.00223
 
−
|style="border-style: solid; border-width: 1px"|0.261
 
−
|style="border-style: solid; border-width: 1px"|0.00608
 
−
|style="border-style: solid; border-width: 1px"|0.0165
 
−
|style="border-style: solid; border-width: 1px"|0.038
 
−
|style="border-style: solid; border-width: 1px"|0.00408
 
−
|style="border-style: solid; border-width: 1px"|0.268
 
−
|style="border-style: solid; border-width: 1px"|0.00177
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|545-1
 
−
|style="border-style: solid; border-width: 1px"|0.991
 
−
|style="border-style: solid; border-width: 1px"|0.00293
 
−
|style="border-style: solid; border-width: 1px"|0.00743
 
−
|style="border-style: solid; border-width: 1px"|0.026
 
−
|style="border-style: solid; border-width: 1px"|0.00139
 
−
|style="border-style: solid; border-width: 1px"| 2.6
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|0.00216
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|545-2
 
−
|style="border-style: solid; border-width: 1px"|0.985
 
−
|style="border-style: solid; border-width: 1px"|0.00277
 
−
|style="border-style: solid; border-width: 1px"|0.0128
 
−
|style="border-style: solid; border-width: 1px"|0.024
 
−
|style="border-style: solid; border-width: 1px"|0.00246
 
−
|style="border-style: solid; border-width: 1px"| 2.8
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|0.00187
 
−
|style="border-style: solid; border-width: 1px"|0.00097
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|545-4
 
−
|style="border-style: solid; border-width: 1px"|0.972
 
−
|style="border-style: solid; border-width: 1px"|0.003
 
−
|style="border-style: solid; border-width: 1px"|0.0277
 
−
|style="border-style: solid; border-width: 1px"|0.025
 
−
|style="border-style: solid; border-width: 1px"|0.000777
 
−
|style="border-style: solid; border-width: 1px"| 2.5
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|0.00222
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|857-1
 
−
|style="border-style: solid; border-width: 1px"|0.974
 
−
|style="border-style: solid; border-width: 1px"|0.00338
 
−
|style="border-style: solid; border-width: 1px"|0.0229
 
−
|style="border-style: solid; border-width: 1px"|0.025
 
−
|style="border-style: solid; border-width: 1px"|0.00349
 
−
|style="border-style: solid; border-width: 1px"| 2.2
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|0.00176
 
−
|style="border-style: solid; border-width: 1px"|0.00111
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|857-2
 
−
|style="border-style: solid; border-width: 1px"|0.84
 
−
|style="border-style: solid; border-width: 1px"|0.00148
 
−
|style="border-style: solid; border-width: 1px"|0.158
 
−
|style="border-style: solid; border-width: 1px"|0.00656
 
−
|style="border-style: solid; border-width: 1px"|0.00249
 
−
|style="border-style: solid; border-width: 1px"| 3.2
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|  0
 
−
|style="border-style: solid; border-width: 1px"|0.0022
 
−
|style="border-style: solid; border-width: 1px"|0.00125
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|857-3
 
−
|style="border-style: solid; border-width: 1px"|0.36
 
−
|style="border-style: solid; border-width: 1px"|4.22e-05
 
−
|style="border-style: solid; border-width: 1px"|0.627
 
−
|style="border-style: solid; border-width: 1px"|0.0024
 
−
|style="border-style: solid; border-width: 1px"|0.0111
 
−
|style="border-style: solid; border-width: 1px"|0.017
 
−
|style="border-style: solid; border-width: 1px"|0.002
 
−
|style="border-style: solid; border-width: 1px"| 1.9
 
−
|style="border-style: solid; border-width: 1px"|0.00152
 
−
|style="border-style: solid; border-width: 1px"|0.00126
 
−
|-
 
−
|style="border-style: solid; border-width: 1px"|857-4
 
−
|style="border-style: solid; border-width: 1px"|0.278
 
−
|style="border-style: solid; border-width: 1px"|0.0004
 
−
|style="border-style: solid; border-width: 1px"|0.719
 
−
|style="border-style: solid; border-width: 1px"|0.00392
 
−
|style="border-style: solid; border-width: 1px"|0.00162
 
−
|style="border-style: solid; border-width: 1px"|0.09
 
−
|style="border-style: solid; border-width: 1px"|0.00152
 
−
|style="border-style: solid; border-width: 1px"| 0.8
 
−
|style="border-style: solid; border-width: 1px"|0.00149
 
−
|style="border-style: solid; border-width: 1px"|0.000558
 
−
|}
 
−
 
 
−
 
 
−
 
 
−
 
 
−
== System (Ken) ==
 
−
===List of systematics===
 
−
 
 
−
{{:HFI-bottom_up}}
 
−
 
 
−
==Summary==
 
−
<span style="color:red">(Lamarre)</span>
 
−
here remind worse sytematics and point to DPC
 
−
Summary of sucess and limitations. JML. Link to early HFI in flight perf.
 

Latest revision as of 09:41, 3 February 2015

This section provides an overview of the High-Frequency Instrument and of its different sub-systems. Two papers that include and detail this information are available: Planck-PreLaunch-III[1] and Planck-Early-IV[2]. Additional detailed information potentially useful for users of HFI data is included in this section or annexed to it.

HFI electronics in the satellite

The HFI instrument is designed around 52 bolometers. Twenty of the bolometers (spider-web bolometers or SWBs) are sensitive to total power, and the remaining 32 units are arranged in pairs of orthogonally-oriented polarisation-sensitive bolometers (PSBs). All bolometers are operated at a temperature of ~0.1 K by means of a space qualified dilution cooler coupled to a high precision temperature control system. A 4He-JT system provides active cooling for 4 K stages using vibration controlled mechanical compressors to prevent excessive warming of the 100 mK stage and minimize microphonic effects in the bolometers. Bolometers and sensitive thermometers are read using an AC-bias scheme through JFET amplifiers operated at ~130 K that provide high sensitivity and low frequency stability. The HFI covers six bands centred at 100, 143, 217, 353, 545, and 857 GHz, thanks to a thermo-optical design consisting of three corrugated horns and a set of compact reflective filters and lenses at cryogenic temperatures.

HFI focal plane optics and 4K thermo-mechanical stage.

The whole satellite is organized to provide thermal transitions between its warm part exposed to radiation from the Sun and Earth, and the focal plane instruments that include the cold receivers (Sections HFI_cold_optics and HFI_detection_chain). The various parts of the HFI are distributed among three different stages of the satellite in order to provide each sub-system with an optimal operating temperature. The "warm" parts, including nearly all the electronics and the sources of fluids of the 4K and 0.1K coolers, are attached and thermally linked to the service module of the satellite. The first stage of the preamplifiers is attached to the back of the passively cooled telescope structure. The focal plane unit is attached to the 20K stage cooled by the sorption cooler. This is detailed in Section HFI_detection_chain.

The telescope and horns select the geometrical origin of photons. They provide a high transmission efficiency to photons inside the main beam, while photons coming from the intermediate and far-side lobes have very low probability of being detected. The essential characteristics are determined by a complex process mixing ground measurements of components (horns, reflectors), modelling the shape of the far sidelobes, and measuring bright sources in-flight, especially planets.

The filters and bolometers define the spectral response and absolute optical efficiency, which are known mostly from ground-based measurements performed at component, sub-system, and system levels, reported in this document. The relationships between spectral response and geometrical response are also addressed.

Photons absorbed by a bolometer include the thermal radiation emitted by the various optical devices: telescope, horns, and filters. They are transformed into heat that propagates to the bolometer thermometer to influence its temperature, which is itself measured by the readout electronics. Temperatures of all these items must be stable enough not to contaminate the scientific signal delivered by the bolometers. How this stability is reached is described in Section HFI_cryogenics.

The bolometer temperature depends also on the temperature of the bolometer plate, on the intensity of the biasing current, and on any spurious inputs, such as cosmic rays and mechanical vibrations. Such systematics are included in a list discussed in Section HFI-Validation.

Since the bolometer thermometer is part of an active circuit that also heats it, the response of this system is complex and has to be considered as a whole. In addition, due to the modulation of the bias current and to the sampling of the data, the response signal of the instrument when scanning a point source is more complex still. Item in Sub-Section Time_response and Annex HFI_time_response_model are dedicated to the description of this time response.

HFI signal formation.

Logic of the formation of the signal in HFI. This is an idealized description of the physics that takes place in the instrument. The optical power that is absorbed by the bolometers comes from the observed sky and from the instrument itself. The bolometers and readout electronics, acting as a single and complex chain, transform this optical power into data that are compressed and transmitted for science data reduction.

References[edit]

  1. ↑ Planck pre-launch status: The HFI instrument, from specification to actual performance, J.-M. Lamarre, J.-L. Puget, P. A. R. Ade, F. Bouchet, G. Guyot, A. E. Lange, F. Pajot, A. Arondel, K. Benabed, J.-L. Beney, A. Benoît, J.-P. Bernard, R. Bhatia, Y. Blanc, J. J. Bock, E. Bréelle, T. W. Bradshaw, P. Camus, A. Catalano, J. Charra, M. Charra, S. E. Church, F. Couchot, A. Coulais, B. P. Crill, M. R. Crook, K. Dassas, P. de Bernardis, J. Delabrouille, P. de Marcillac, J.-M. Delouis, F.-X. Désert, C. Dumesnil, X. Dupac, G. Efstathiou, P. Eng, C. Evesque, J.-J. Fourmond, K. Ganga, M. Giard, R. Gispert, L. Guglielmi, J. Haissinski, S. Henrot-Versillé, E. Hivon, W. A. Holmes, W. C. Jones, T. C. Koch, H. Lagardère, P. Lami, J. Landé, B. Leriche, C. Leroy, Y. Longval, J. F. Macías-Pérez, T. Maciaszek, B. Maffei, B. Mansoux, C. Marty, S. Masi, C. Mercier, M.-A. Miville-Deschênes, A. Moneti, L. Montier, J. A. Murphy, J. Narbonne, M. Nexon, C. G. Paine, J. Pahn, O. Perdereau, F. Piacentini, M. Piat, S. Plaszczynski, E. Pointecouteau, R. Pons, N. Ponthieu, S. Prunet, D. Rambaud, G. Recouvreur, C. Renault, I. Ristorcelli, C. Rosset, D. Santos, G. Savini, G. Serra, P. Stassi, R. V. Sudiwala, J.-F. Sygnet, J. A. Tauber, J.-P. Torre, M. Tristram, L. Vibert, A. Woodcraft, V. Yurchenko, D. Yvon, A&A, 520, A9+, (2010).
  2. ↑ Planck early results, IV. First assessment of the High Frequency Instrument in-flight performance, Planck HFI Core Team, A&A, 536, A4, (2011).

(Planck) High Frequency Instrument

Junction Field Elect Transistor

Retrieved from ‘https://wiki.cosmos.esa.int/planckpla2015/index.php?title=HFI_design,_qualification,_and_performance&oldid=10970’