Spectral response

From Planck PLA Wiki
Revision as of 16:04, 15 March 2013 by Lspencer (talk | contribs)
Jump to: navigation, search

HFI Spectral Response[edit]

This section outlines the unit conversion and colour correction protocol for Planck/HFI. Tables of unit conversion and colour correction coefficients will be included (there is not room for these in the P03d Co-Paper). Some of the checks on the unit conversion and colour correction coefficients will be described here also. Planet colour correction coefficients will be provided here (or perhaps in the joint HFI/LFI section). There will be links to the UcCC subsection of the PLA section, but the numbers and details belong here. The PLA UcCC subsection is primarily to introduce the software tools.

The band-average HFI spectral response data are shown in the figure below, and provided in the RIMO file (here).

Band-average HFI transmission spectra. Vertical bars illustrate the CO rotational transition frequencies.

The integration ranges used in determining the unit conversion and colour correction coefficients are verified through an iterative approach starting at one extreme and reducing to the band-centre for both the low and high frequency edges. The figure below demonstrates the stability in the integral once a sufficient data range has been employed. The range used in the official coefficients is thus sufficient to ensure that it falls within the flat region of the demonstration figure below.

  • 100 GHz

  • 143 GHz

  • 217 GHz

  • 353 GHz

  • 545 GHz

  • 857 GHz

Colour Correction (alpha = -1 to +2) stability with integration cut-off variation. The horizontal bars illustrate the nominal colour correction values. Similar results are found for the integration cut-on.


The band-average spectrum for a given frequency band is derived using a hit-map normalized inverse-square noise weighted detector spectrum average. Thus, the effective band-average spectrum changes depending on the region of sky in question, really the Planck coverage of any sky region. The histograms below demonstrate the variation across the sky of the detector weight coefficients, and thus the validity of using a single band-average spectrum for the entire sky map. Future analysis with the full Planck dataset may require incorporating the variation of the relative detector weights across the sky into understanding the differential spectral transmission between complementary maps (e.g. detset -1 cf. detset-2 maps).

  • 100 GHz

  • 143 GHz

  • 217 GHz

  • 353 GHz

  • 545 GHz

  • 857 GHz

Colour Correction (alpha = -1 to +2) stability with integration cut-off variation. The horizontal bars illustrate the nominal colour correction values. Similar results are found for the integration cut-on.


The following table presents basic characteristics of the HFI detector spectral response, including optical efficiency, effective frequency, etc.

Properties of HFI detector spectra

Band (GHz) [math]\nu[/math]cut-on [GHz] [math]\nu[/math]cut-off [GHz] BW [GHz] [math]\nu[/math]cen. [GHz] [math]\nu[/math]eff. [GHz] [math]\varepsilon[/math] [math]\epsilon[/math]Int. [math]\nu[/math] -1 [GHz] [math]\nu[/math] +2 [GHz] [math]\nu[/math] +4 [GHz]
100-1a 84.8 ± 0.5 114.0 ± 0.2 29.1 ± 0.6 99.4 ± 0.3 100.28 ± 0.11 0.419 ± 0.008 0.310 ± 0.008 99.45 ± 0.12 101.93 ± 0.10 103.59 ± 0.09 - 100-1b 86.5 ± 1.0 115.32 ± 0.08 28.8 ± 1.0 100.9 ± 0.5 100.87 ± 0.12 0.563 ± 0.010 0.324 ± 0.010 100.06 ± 0.12 102.51 ± 0.11 104.18 ± 0.10 - 100-2a 86.0 ± 0.6 116.4 ± 0.4 30.4 ± 0.8 101.2 ± 0.3 101.34 ± 0.14 0.550 ± 0.012 0.372 ± 0.012 100.38 ± 0.14 103.34 ± 0.12 105.47 ± 0.11 - 100-2b 84.3 ± 0.4 115.5 ± 0.4 31.3 ± 0.6 99.9 ± 0.3 101.19 ± 0.14 0.634 ± 0.009 0.334 ± 0.009 100.23 ± 0.15 103.14 ± 0.13 105.16 ± 0.11 - 100-3a 84.2 ± 0.2 117.36 ± 0.07 33.1 ± 0.3 100.78 ± 0.12 101.64 ± 0.11 0.493 ± 0.005 0.331 ± 0.005 100.68 ± 0.12 103.60 ± 0.10 105.60 ± 0.09 - 100-3b 84.2 ± 0.2 116.81 ± 0.09 32.6 ± 0.3 100.50 ± 0.12 100.63 ± 0.11 0.426 ± 0.004 0.281 ± 0.004 99.74 ± 0.11 102.45 ± 0.10 104.35 ± 0.10 - 100-4a 84.74 ± 0.13 118.09 ± 0.10 33.34 ± 0.18 101.42 ± 0.07 101.77 ± 0.12 0.461 ± 0.004 0.255 ± 0.004 100.77 ± 0.13 103.82 ± 0.11 105.96 ± 0.10 - 100-4b 84.86 ± 0.19 118.30 ± 0.06 33.4 ± 0.2 101.58 ± 0.10 101.91 ± 0.12 0.396 ± 0.004 0.258 ± 0.004 100.92 ± 0.12 103.92 ± 0.11 105.98 ± 0.10 - 100-avg 84.4 ± 0.3 117.36 ± 0.05 32.9 ± 0.3 100.89 ± 0.16 101.31 ± 0.05 0.479 ± 0.004 0.304 ± 0.004 100.36 ± 0.05 103.24 ± 0.04 105.25 ± 0.04 - 100-detset1 84.77 ± 0.05 117.81 ± 0.05 33.03 ± 0.08 101.29 ± 0.04 101.43 ± 0.07 0.4199 ± 0.0019 0.2645 ± 0.0019 100.49 ± 0.07 103.35 ± 0.06 105.34 ± 0.06 - 100-detset2 84.3 ± 0.3 117.14 ± 0.05 32.8 ± 0.3 100.72 ± 0.14 101.25 ± 0.06 0.505 ± 0.004 0.321 ± 0.004 100.31 ± 0.06 103.19 ± 0.05 105.21 ± 0.05 - 143-1a 121.2 ± 0.4 162 ± 2 41 ± 2 141.5 ± 1.1 141.71 ± 0.05 0.66 ± 0.02 0.43 ± 0.02 140.37 ± 0.05 144.48 ± 0.04 147.35 ± 0.04 - 143-1b 119.99 ± 0.02 162.8 ± 0.7 42.8 ± 0.7 141.4 ± 0.3 142.29 ± 0.05 0.608 ± 0.006 0.347 ± 0.006 140.97 ± 0.05 145.02 ± 0.04 147.79 ± 0.04 - 143-2a 119.7 ± 0.2 162.76 ± 0.06 43.1 ± 0.3 141.21 ± 0.11 141.79 ± 0.05 0.626 ± 0.003 0.449 ± 0.003 140.42 ± 0.05 144.61 ± 0.04 147.51 ± 0.04 - 143-2b 119.2 ± 0.3 163.3 ± 0.4 44.1 ± 0.5 141.3 ± 0.2 142.50 ± 0.04 0.619 ± 0.005 0.443 ± 0.005 141.17 ± 0.04 145.21 ± 0.04 148.00 ± 0.04 - 143-3a 120.2 ± 0.2 158.8 ± 0.3 38.6 ± 0.4 139.50 ± 0.18 140.51 ± 0.05 0.970 ± 0.006 0.539 ± 0.006 139.17 ± 0.05 143.28 ± 0.04 146.09 ± 0.04 - 143-3b 119.88 ± 0.04 161.3 ± 1.0 41.4 ± 1.0 140.6 ± 0.5 141.63 ± 0.04 0.718 ± 0.011 0.457 ± 0.011 140.28 ± 0.05 144.41 ± 0.04 147.22 ± 0.04 - 143-4a 118.73 ± 0.08 168.21 ± 0.03 49.48 ± 0.10 143.47 ± 0.04 142.71 ± 0.04 0.5320 ± 0.0014 0.3241 ± 0.0014 141.29 ± 0.04 145.61 ± 0.04 148.56 ± 0.04 - 143-4b 119.0 ± 0.2 161.58 ± 0.04 42.6 ± 0.3 140.27 ± 0.12 142.19 ± 0.04 0.538 ± 0.003 0.339 ± 0.003 140.87 ± 0.04 144.87 ± 0.04 147.59 ± 0.04 - 143-5 119.9 ± 0.3 166.608 ± 0.015 46.7 ± 0.3 143.28 ± 0.17 144.24 ± 0.04 0.386 ± 0.002 0.305 ± 0.002 142.93 ± 0.04 146.86 ± 0.04 149.48 ± 0.04 - 143-6 120.0 ± 0.2 166.14 ± 0.03 46.2 ± 0.2 143.06 ± 0.12 143.00 ± 0.05 0.4531 ± 0.0019 0.3128 ± 0.0019 141.66 ± 0.05 145.72 ± 0.04 148.49 ± 0.04 - 143-7 120.39 ± 0.07 167.5 ± 0.3 47.1 ± 0.3 143.95 ± 0.15 144.46 ± 0.04 0.427 ± 0.002 0.308 ± 0.002 143.14 ± 0.05 147.09 ± 0.04 149.69 ± 0.04 - 143-8 120.7 ± 0.3 165.6 ± 0.3 44.8 ± 0.5 143.2 ± 0.2 143.55 ± 0.04 0.393 ± 0.003 0.277 ± 0.003 142.18 ± 0.04 146.30 ± 0.04 149.02 ± 0.04 - 143-avg 119.994 ± 0.017 165.76 ± 0.04 45.76 ± 0.04 142.876 ± 0.020 142.710 ± 0.013 0.5069 ± 0.0006 0.3669 ± 0.0006 141.363 ± 0.013 145.458 ± 0.012 148.235 ± 0.011 - 143-detset1 120.05 ± 0.03 160.18 ± 0.09 40.13 ± 0.10 140.12 ± 0.04 141.45 ± 0.02 0.7049 ± 0.0016 0.4614 ± 0.0016 140.11 ± 0.02 144.22 ± 0.02 147.05 ± 0.02 - 143-detset2 118.95 ± 0.08 164.9 ± 0.8 45.9 ± 0.8 141.9 ± 0.4 142.27 ± 0.02 0.507 ± 0.007 0.379 ± 0.007 140.91 ± 0.02 145.05 ± 0.02 147.902 ± 0.020 - 143-SWBs 120.17 ± 0.03 166.308 ± 0.020 46.14 ± 0.04 143.238 ± 0.018 143.96 ± 0.03 0.3967 ± 0.0007 0.3123 ± 0.0007 142.64 ± 0.03 146.63 ± 0.02 149.28 ± 0.02 - 217-1 189.0 ± 0.4 251.24 ± 0.04 62.2 ± 0.4 220.14 ± 0.18 222.817 ± 0.013 0.4138 ± 0.0019 0.3218 ± 0.0019 221.099 ± 0.013 226.274 ± 0.014 229.76 ± 0.02 - 217-2 188.66 ± 0.02 253.68 ± 0.03 65.03 ± 0.04 221.169 ± 0.018 223.231 ± 0.018 0.4575 ± 0.0004 0.3624 ± 0.0004 221.430 ± 0.018 226.814 ± 0.019 230.35 ± 0.02 - 217-3 190.49 ± 0.06 253.174 ± 0.017 62.68 ± 0.06 221.83 ± 0.03 223.116 ± 0.016 0.4125 ± 0.0005 0.3257 ± 0.0005 221.440 ± 0.016 226.458 ± 0.016 229.774 ± 0.019 - 217-4 190.8 ± 0.3 253.219 ± 0.017 62.4 ± 0.3 222.03 ± 0.13 222.717 ± 0.017 0.4043 ± 0.0013 0.3132 ± 0.0013 221.033 ± 0.017 226.116 ± 0.018 229.55 ± 0.02 - 217-5a 182.69 ± 0.06 253.2 ± 0.6 70.5 ± 0.6 217.9 ± 0.3 220.421 ± 0.017 0.548 ± 0.003 0.387 ± 0.003 218.489 ± 0.018 224.293 ± 0.018 228.15 ± 0.02 - 217-5b 182.75 ± 0.05 250.06 ± 0.02 67.31 ± 0.06 216.41 ± 0.03 220.655 ± 0.018 0.6213 ± 0.0004 0.3770 ± 0.0004 218.746 ± 0.018 224.465 ± 0.018 228.234 ± 0.020 - 217-6a 182.284 ± 0.019 253.699 ± 0.018 71.41 ± 0.03 217.991 ± 0.013 220.62 ± 0.02 0.4497 ± 0.0003 0.3019 ± 0.0003 218.70 ± 0.02 224.44 ± 0.02 228.24 ± 0.03 - 217-6b 182.85 ± 0.04 253.373 ± 0.017 70.52 ± 0.04 218.113 ± 0.018 220.619 ± 0.017 0.5274 ± 0.0004 0.3349 ± 0.0004 218.707 ± 0.017 224.408 ± 0.017 228.109 ± 0.018 - 217-7a 188.217 ± 0.020 253.88 ± 0.02 65.66 ± 0.03 221.049 ± 0.015 220.766 ± 0.017 0.4299 ± 0.0003 0.3065 ± 0.0003 218.925 ± 0.017 224.458 ± 0.017 228.122 ± 0.019 - 217-7b 189.22 ± 0.03 250.88 ± 0.03 61.66 ± 0.04 220.05 ± 0.02 220.332 ± 0.016 0.4371 ± 0.0003 0.2776 ± 0.0003 218.468 ± 0.015 224.055 ± 0.016 227.718 ± 0.019 - 217-8a 181.98 ± 0.03 253.722 ± 0.015 71.74 ± 0.03 217.852 ± 0.015 220.510 ± 0.019 0.5282 ± 0.0004 0.3768 ± 0.0004 218.544 ± 0.019 224.432 ± 0.020 228.32 ± 0.02 - 217-8b 181.875 ± 0.015 252.99 ± 0.04 71.12 ± 0.04 217.433 ± 0.019 220.712 ± 0.017 0.6265 ± 0.0004 0.3872 ± 0.0004 218.837 ± 0.018 224.440 ± 0.017 228.13 ± 0.02 - 217-avg 188.892 ± 0.011 253.419 ± 0.007 64.527 ± 0.014 221.156 ± 0.006 221.915 ± 0.006 0.39900 ± 0.00013 0.33846 ± 0.00013 220.113 ± 0.006 225.517 ± 0.006 229.097 ± 0.007 - 217-detset1 183.3 ± 0.2 253.606 ± 0.019 70.3 ± 0.2 218.46 ± 0.12 220.548 ± 0.009 0.4577 ± 0.0010 0.3053 ± 0.0010 218.666 ± 0.010 224.312 ± 0.009 228.038 ± 0.010 - 217-detset2 182.159 ± 0.012 253.592 ± 0.007 71.433 ± 0.015 217.875 ± 0.006 220.614 ± 0.009 0.47458 ± 0.00018 0.34838 ± 0.00018 218.697 ± 0.009 224.429 ± 0.010 228.200 ± 0.011 - 217-SWBs 189.025 ± 0.012 253.247 ± 0.013 64.222 ± 0.018 221.136 ± 0.009 222.957 ± 0.008 0.40718 ± 0.00018 0.32256 ± 0.00018 221.241 ± 0.008 226.395 ± 0.008 229.834 ± 0.010 - 353-1 306.3 ± 0.5 406.8 ± 0.4 100.5 ± 0.6 356.5 ± 0.3 360.29 ± 0.02 0.540 ± 0.003 0.390 ± 0.003 357.55 ± 0.02 365.76 ± 0.02 371.15 ± 0.03 - 353-2 305.82 ± 0.17 409.70 ± 0.02 103.88 ± 0.18 357.76 ± 0.08 360.87 ± 0.02 0.5947 ± 0.0008 0.4515 ± 0.0008 358.00 ± 0.02 366.61 ± 0.02 372.29 ± 0.03 - 353-3a 308.5 ± 0.3 404.77 ± 0.03 96.3 ± 0.3 356.63 ± 0.16 359.59 ± 0.02 0.4106 ± 0.0010 0.2862 ± 0.0010 357.16 ± 0.02 364.49 ± 0.02 369.37 ± 0.02 - 353-3b 308.3 ± 0.3 406.230 ± 0.014 98.0 ± 0.3 357.24 ± 0.17 359.65 ± 0.02 0.4689 ± 0.0012 0.3546 ± 0.0012 357.02 ± 0.02 365.01 ± 0.03 370.41 ± 0.03 - 353-4a 321.275 ± 0.018 407.94 ± 0.13 86.66 ± 0.13 364.61 ± 0.06 362.224 ± 0.020 0.4334 ± 0.0006 0.3119 ± 0.0006 359.944 ± 0.019 366.85 ± 0.02 371.52 ± 0.02 - 353-4b 311.71 ± 0.04 407.71 ± 0.03 96.00 ± 0.06 359.71 ± 0.02 362.21 ± 0.02 0.4152 ± 0.0003 0.3123 ± 0.0003 359.74 ± 0.02 367.22 ± 0.02 372.23 ± 0.02 - 353-5a 302.25 ± 0.04 406.41 ± 0.11 104.17 ± 0.12 354.33 ± 0.06 358.73 ± 0.02 0.3991 ± 0.0004 0.2965 ± 0.0004 355.88 ± 0.02 364.42 ± 0.02 370.01 ± 0.02 - 353-5b 301.37 ± 0.05 416.77 ± 0.05 115.40 ± 0.08 359.07 ± 0.04 358.84 ± 0.02 0.3626 ± 0.0002 0.2542 ± 0.0002 355.80 ± 0.02 364.98 ± 0.02 371.11 ± 0.03 - 353-6a 302.4 ± 0.4 407.99 ± 0.03 105.6 ± 0.4 355.19 ± 0.20 359.91 ± 0.03 0.3036 ± 0.0008 0.1946 ± 0.0008 357.09 ± 0.03 365.58 ± 0.03 371.18 ± 0.03 - 353-6b 314.08 ± 0.03 398.19 ± 0.03 84.11 ± 0.04 356.13 ± 0.02 356.06 ± 0.03 0.2990 ± 0.0002 0.2193 ± 0.0002 353.67 ± 0.03 360.93 ± 0.03 365.83 ± 0.03 - 353-7 323 ± 2 406.02 ± 0.03 83 ± 2 364.6 ± 1.1 363.35 ± 0.03 0.313 ± 0.006 0.272 ± 0.006 360.84 ± 0.03 368.40 ± 0.03 373.41 ± 0.03 - 353-8 309 ± 4 408.20 ± 0.08 99 ± 4 359 ± 2 365.10 ± 0.02 0.374 ± 0.013 0.294 ± 0.013 362.25 ± 0.02 370.82 ± 0.03 376.53 ± 0.04 - 353-avg 306.8 ± 0.6 408.22 ± 0.02 101.4 ± 0.6 357.5 ± 0.3 361.290 ± 0.009 0.406 ± 0.002 0.335 ± 0.002 358.564 ± 0.009 366.764 ± 0.009 372.193 ± 0.010 - 353-detset1 303.582 ± 0.015 406.333 ± 0.017 102.75 ± 0.02 354.957 ± 0.011 359.156 ± 0.011 0.39123 ± 0.00014 0.29902 ± 0.00014 356.386 ± 0.011 364.744 ± 0.011 370.302 ± 0.012 - 353-detset2 318.885 ± 0.014 407.859 ± 0.018 88.97 ± 0.02 363.372 ± 0.012 360.870 ± 0.011 0.35915 ± 0.00013 0.28730 ± 0.00013 358.409 ± 0.011 365.850 ± 0.011 370.837 ± 0.013 - 353-SWBs 306.3 ± 0.4 408.81 ± 0.03 102.5 ± 0.4 357.56 ± 0.19 361.921 ± 0.013 0.4381 ± 0.0014 0.3575 ± 0.0014 359.158 ± 0.013 367.455 ± 0.013 372.930 ± 0.014 - 545-1 466.41 ± 0.03 642.58 ± 0.06 176.17 ± 0.06 554.50 ± 0.03 559.83 ± 0.05 0.3760 ± 0.0002 0.2958 ± 0.0002 554.44 ± 0.08 570.00 ± 0.03 579.24 ± 0.03 - 545-2 466.78 ± 0.04 641.44 ± 0.08 174.66 ± 0.10 554.11 ± 0.04 556.05 ± 0.05 0.3194 ± 0.0002 0.2687 ± 0.0002 550.61 ± 0.08 566.37 ± 0.03 575.78 ± 0.03 - 545-3 470.6 ± 1.1 637.44 ± 0.05 166.9 ± 1.1 554.0 ± 0.5 557.40 ± 0.08 0.2536 ± 0.0014 0.2127 ± 0.0014 552.26 ± 0.14 567.14 ± 0.04 576.05 ± 0.03 - 545-4 470.9 ± 0.3 638.52 ± 0.11 167.6 ± 0.4 554.73 ± 0.18 556.85 ± 0.05 0.2630 ± 0.0005 0.2143 ± 0.0005 551.76 ± 0.08 566.48 ± 0.03 575.32 ± 0.02 - 545-avg 469.5 ± 0.6 640.81 ± 0.03 171.3 ± 0.6 555.2 ± 0.3 557.53 ± 0.03 0.3036 ± 0.0009 0.2612 ± 0.0009 552.22 ± 0.05 567.596 ± 0.017 576.778 ± 0.014 - 545-detset1 466.44 ± 0.02 642.36 ± 0.04 175.91 ± 0.05 554.40 ± 0.02 557.86 ± 0.03 0.32548 ± 0.00013 0.28031 ± 0.00013 552.43 ± 0.05 568.12 ± 0.02 577.458 ± 0.018 - 545-detset2 470.9 ± 0.3 638.52 ± 0.10 167.6 ± 0.4 554.73 ± 0.18 556.85 ± 0.06 0.2631 ± 0.0005 0.2143 ± 0.0005 551.76 ± 0.09 566.48 ± 0.03 575.32 ± 0.03 - 857-1 748.7 ± 0.9 992.5 ± 0.4 243.8 ± 1.1 870.6 ± 0.5 866.05 ± 0.10 0.2595 ± 0.0010 0.2283 ± 0.0010 858.1 ± 0.2 880.89 ± 0.03 894.38 ± 0.03 - 857-2 726.3 ± 0.3 989.09 ± 0.13 262.8 ± 0.3 857.70 ± 0.15 860.55 ± 0.08 0.2435 ± 0.0003 0.1973 ± 0.0003 852.28 ± 0.18 876.22 ± 0.03 890.59 ± 0.03 - 857-3 742.0 ± 0.5 991.7 ± 1.2 249.7 ± 1.4 866.8 ± 0.6 864.92 ± 0.09 0.2888 ± 0.0014 0.2573 ± 0.0014 857.0 ± 0.2 879.90 ± 0.03 893.53 ± 0.03 - 857-4 731.4 ± 0.4 979.9 ± 0.2 248.4 ± 0.5 855.7 ± 0.2 854.75 ± 0.11 0.1414 ± 0.0002 0.1189 ± 0.0002 847.2 ± 0.3 868.94 ± 0.03 881.94 ± 0.03 - 857-avg 743.9 ± 0.4 989.78 ± 0.07 245.9 ± 0.4 866.85 ± 0.20 862.68 ± 0.05 0.2412 ± 0.0004 0.2165 ± 0.0004 854.69 ± 0.11 877.724 ± 0.019 891.462 ± 0.017 - 857-detset1 736.9 ± 0.3 990.38 ± 0.07 253.4 ± 0.3 863.65 ± 0.13 863.42 ± 0.06 0.2446 ± 0.0002 0.2121 ± 0.0002 855.33 ± 0.15 878.67 ± 0.02 892.59 ± 0.02 - 857-detset2 741.79 ± 0.12 987.01 ± 0.09 245.22 ± 0.16 864.40 ± 0.07 861.74 ± 0.07 0.23780 ± 0.00015 0.21419 ± 0.00015 853.89 ± 0.16 876.53 ± 0.02 890.03 ± 0.02




References[edit]

<biblio force=false>

  1. References

</biblio>

(Planck) High Frequency Instrument

(Planck) Low Frequency Instrument

Planck Legacy Archive

Retrieved from ‘https://wiki.cosmos.esa.int/planckpla/index.php?title=Spectral_response&oldid=6883’