Beams LFI

Wish List

list of information to be inserted in the explanatory supplements

- Description of LFI FOV.

- Description of various telescope models as reported in the beam paper.

- Format of beam data

- Definition of various coordinate frames for beams

Overview

LFI is observing the sky with 11 pairs of beams associated with the 22 pseudo-correlation radiometers. Each beam of the radiometer pair (Radiometer Chain Assembly - RCA) is named as LFIXXM or LFIXXS. XX is the RCA number ranging from 18 to 28; M and S are the two polarization namely main-arm and side-arm of the Orthomode transduccers #darcangelo2009b.

Figure 1. A sketch of the Planck LFI field of view in the (u,v) plane is shown. The polarization direction on the sky are highlighted by the colored arrows. The M-polarization is shown in green and the S-polarization in red. Beam shapes are shown for completness and they are not representative of flight beams.

The separation of the power pattern into a main beam and sidelobes can be somewhat arbitrary and is basically governed by convention. Different definitions of these regions could in principle be used: electromagnetic definitions, science-related definitions, and simulation-related definitions. In this framework the main beam region was defined by taking care that not only the relevant main beam characteristics are computed (angular resolution, ellipticity, directivity, cross polar discrimination factor, and so on), but also that the main beam distortion, at a level of about –60 dB (mainly due to the off-axis location of the LFI feed horns), can be evaluated.

The separation of the instrumental angular response into main beam and sidelobes can be somewhat arbitrary and basically governed by convention. In the framework of $Planck$/LFI, we consider these three regions: \begin{enumerate} \item the main beam, which is defined as extending to 1.9, 1.3, and 0.9 degrees from the beam center at 30, 44, and 70 GHz, respectively; \item near sidelobes, which are defined as extending between the main beam angular limit and 5 degrees from the beam center; \item far sidelobes, which are defined as the beam more than 5 degrees from the beam center. \end{enumerate}

Main Beams and Focal Plane calibration

Describe the RIMO content (beam section)

The beam solid angle, Ω[math]_A [/math], of an antenna is given by

[math] Ω_A \; = \; \int_{4π} \; P_n(θ,φ) \; dΩ \; = \; \int^{2π}_0 \int^π_0 \; P_n(θ,φ) \; sinθ \; dθ \; dφ [/math]

\Omega where [math]P_n (θ, φ) \; [/math] is the normalized power pattern and the field computed by GRASP is normalised to a total power of 4π watt, i.e.,

[math] \int^{2π}_0 \int^π_0 \; P_n(θ,φ) \; sinθ \; dθ \; dφ \; = \; 4π [/math]

Effective beams

TBW

Window Functions

TBW

Sidelobes

TBW

References

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1. References

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