Spectral Response Functions

The spectral response functions used by the OBPG to compute bandpass-averaged quantities used in data processing are found below, along with a table of the bandpass-averaged quantites. The source data include the following:

All source data and response functions were interpolated to 1nm resolution for the wavelength range 200 - 2400nm.

MODIS RSR Issues

Details regarding several issues pertaining to the relative spectral response functions for the MODIS instruments are discussed here .

Bandpass-averaged Quantities

MODIS-Aqua

Spectral Response Functions

(Detector Dependent version)

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8 Band9 Band10 Band11 Band12 Band13 Band14 Band15 Band16
Wave Center (int) 412 442 466 488 530 547 554 645 666 678 747 857 867 1242 1628 2113
Wave Center 412.123 442.260 466.122 487.508 530.220 547.353 554.026 644.898 665.970 677.665 746.938 857.323 867.050 1241.597 1627.972 2113.124
Wave Width (fwhm) 14.481 9.691 18.894 10.677 12.039 10.389 19.753 47.493 10.048 11.382 9.830 38.252 15.562 23.356 27.593 53.079
F0 (Thuillier) 172.912 187.622 205.878 194.933 185.747 186.539 183.869 157.811 152.255 148.052 128.065 97.174 95.824 45.467 23.977 9.885
Taur (Rayleigh) 3.099E-01 2.367E-01 1.914E-01 1.592E-01 1.126E-01 9.906E-02 9.432E-02 5.082E-02 4.443E-02 4.146E-02 2.849E-02 1.613E-02 1.540E-02 3.617E-03 1.219E-03 4.286E-04
Dpol (Depolarization) 2.945E-02 2.910E-02 2.887E-02 2.869E-02 2.841E-02 2.832E-02 2.829E-02 2.794E-02 2.789E-02 2.786E-02 2.772E-02 2.756E-02 2.755E-02 2.732E-02 2.723E-02 2.719E-02
k_oz (Ozone) 1.987E-03 3.189E-03 8.745E-03 2.032E-02 6.838E-02 8.622E-02 9.553E-02 7.382E-02 4.890E-02 3.787E-02 1.235E-02 2.347E-03 1.936E-03 0.000E+00 0.000E+00 0.000E+00
k_no2 (NO2) 5.814E-19 4.985E-19 3.938E-19 2.878E-19 1.525E-19 1.194E-19 9.445E-20 1.382E-20 7.065E-21 8.304E-21 2.157E-21 6.212E-23 7.872E-23 0.000E+00 0.000E+00 0.000E+00

MODIS-Terra

Spectral Response Functions

(Detector Dependent version)

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8 Band9 Band10 Band11 Band12 Band13 Band14 Band15 Band16
Wave Center 411.589 442.155 466.122 487.078 529.783 546.981 554.026 644.898 665.695 677.068 746.736 857.323 866.550 1241.597 1627.972 2113.124
Wave Average 413.759 442.727 466.073 486.949 529.969 546.857 553.919 645.832 669.140 680.906 745.807 856.871 866.506 1241.489 1628.069 2113.957
Wave Peak 416.000 442.000 461.000 488.000 530.000 547.000 551.000 657.000 665.000 676.000 747.000 848.000 865.000 1243.000 1623.000 2105.000
Wave Width (fwhm) 14.652 9.707 18.894 10.633 11.973 10.331 19.753 47.493 10.117 11.378 9.952 38.252 15.621 23.356 27.593 53.079
F0 (Thuillier) 172.632 187.484 205.878 195.117 185.699 186.475 183.869 157.811 151.694 147.470 127.873 97.174 95.816 45.467 23.977 9.885
Taur (Rayleigh) 3.161E-01 2.369E-01 1.914E-01 1.603E-01 1.130E-01 9.936E-02 9.432E-02 5.082E-02 4.431E-02 4.139E-02 2.842E-02 1.613E-02 1.545E-02 3.617E-03 1.219E-03 4.286E-04
Dpol (Depolarization) 2.948E-02 2.911E-02 2.887E-02 2.870E-02 2.841E-02 2.832E-02 2.829E-02 2.794E-02 2.788E-02 2.786E-02 2.772E-02 2.756E-02 2.755E-02 2.732E-02 2.723E-02 2.719E-02
k_oz (Ozone) 8.772E-04 3.123E-03 8.745E-03 2.020E-02 6.776E-02 8.581E-02 9.553E-02 7.382E-02 4.877E-02 3.803E-02 1.212E-02 2.347E-03 1.990E-03 0.000E+00 0.000E+00 0.000E+00
k_no2 (NO2) 5.915E-19 4.993E-19 3.938E-19 2.910E-19 1.547E-19 1.208E-19 9.445E-20 1.382E-20 6.965E-21 8.519E-21 2.115E-21 6.212E-23 1.233E-22 0.000E+00 0.000E+00 0.000E+00

SeaWiFS

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8
Wave Center (int) 413 444 491 510 555 668 765 866
Wave Center 413.306 443.944 491.123 510.071 554.631 668.236 764.876 866.353
Wave Width (fwhm) 20.124 19.608 20.576 22.376 18.293 19.845 40.284 41.366
F0 (Thuillier) 172.998 190.154 196.438 188.164 182.997 151.139 122.330 96.264
Taur (Rayleigh) 3.128E-01 2.329E-01 1.542E-01 1.326E-01 9.444E-02 4.444E-02 2.553E-02 1.690E-02
Dpol (Depolarization) 2.946E-02 2.908E-02 2.866E-02 2.854E-02 2.828E-02 2.788E-02 2.769E-02 2.757E-02
k_oz (Ozone) 4.114E-04 3.162E-03 2.346E-02 4.094E-02 9.568E-02 4.649E-02 8.141E-03 3.331E-03
k_no2 (NO2) 6.004E-19 4.963E-19 2.746E-19 2.081E-19 9.411E-20 9.234E-21 1.078E-21 1.942E-21

OCTS

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8
Wave Center 412.437 442.865 490.242 516.381 565.100 667.261 764.565 862.436
Wave Average 414.282 444.171 490.744 516.262 569.605 669.968 766.312 862.311
Wave Peak 416.000 446.000 492.000 516.000 566.000 666.000 768.000 854.000
Wave Width (fwhm) 17.458 19.900 22.755 14.659 19.169 21.436 40.838 39.368
F0 (Thuillier) 172.831 188.902 197.314 183.709 179.025 150.304 122.495 95.946
Taur (Rayleigh) 3.127E-01 2.328E-01 1.552E-01 1.262E-01 8.554E-02 4.384E-02 2.545E-02 1.572E-02
Dpol (Depolarization) 2.946E-02 2.908E-02 2.867E-02 2.849E-02 2.822E-02 2.788E-02 2.769E-02 2.756E-02
k_oz (Ozone) 8.873E-04 3.517E-03 2.318E-02 4.644E-02 1.124E-01 4.711E-02 8.037E-03 2.227E-03
k_no2 (NO2) 5.949E-19 4.965E-19 2.784E-19 1.865E-19 7.412E-20 7.959E-21 8.419E-22 5.126E-23

CZCS

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4
Wave Center (int) 443 520 551 669
Wave Center 442.596 520.453 550.576 669.150
Wave Width (fwhm) 22.176 20.782 20.137 19.092
F0 (Thuillier) 186.863 183.692 184.832 150.757
Taur (Rayleigh) 2.358E-01 1.221E-01 9.693E-02 4.380E-02
Dpol (Depolarization) 2.910E-02 2.847E-02 2.830E-02 2.788E-02
k_oz (Ozone) 2.955E-03 5.181E-02 9.064E-02 4.632E-02
k_no2 (NO2) 4.988E-19 1.753E-19 1.019E-19 7.996E-21

VIIRS-SNPP

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8 Band9 Band10
Wave Center (int) 410 443 486 551 671 745 862 1238 1601 2257
Wave Center 410.452 443.109 486.185 550.674 671.358 745.371 861.793 1238.384 1601.011 2256.901
Wave Width (fwhm) 20.455 15.163 19.311 19.824 18.830 13.940 38.057 26.366 59.545 46.344
F0 (Thuillier) 171.134 190.214 198.774 184.122 150.456 127.643 96.031 45.606 25.084 7.732
Taur (Rayleigh) 3.175E-01 2.328E-01 1.600E-01 9.738E-02 4.395E-02 2.865E-02 1.594E-02 3.650E-03 1.305E-03 3.294E-04
Dpol (Depolarization) 2.947E-02 2.908E-02 2.870E-02 2.830E-02 2.788E-02 2.772E-02 2.756E-02 2.732E-02 2.724E-02 2.718E-02
k_oz (Ozone) 6.080E-04 3.349E-03 2.000E-02 8.937E-02 4.406E-02 1.111E-02 2.319E-03 0.000E+00 0.000E+00 0.000E+00
k_no2 (NO2) 5.951E-19 4.997E-19 2.990E-19 1.041E-19 1.015E-20 2.547E-21 4.358E-22 0.000E+00 0.000E+00 0.000E+00

VIIRS-JPSS1 (NOAA-20)

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8 Band9 Band10
Wave Center 410.879 444.836 488.692 556.469 667.280 746.224 867.595 1238.368 1603.769 2258.174
Wave Width (fwhm) 18.207 17.066 19.159 18.128 19.320 13.420 36.470 26.138 60.197 52.025
F0 (Thuillier) 172.571 192.488 197.681 182.765 151.106 127.525 94.945 45.609 24.974 7.711
Taur (Rayleigh) 3.210E-01 2.312E-01 1.573E-01 9.252E-02 4.420E-02 2.815E-02 1.533E-02 3.650E-03 1.296E-03 3.285E-04
Dpol (Depolarization) 2.950E-02 2.908E-02 2.868E-02 2.827E-02 2.788E-02 2.772E-02 2.755E-02 2.732E-02 2.724E-02 2.718E-02
k_oz (Ozone) 2.618E-04 3.220E-03 2.129E-02 9.965E-02 4.771E-02 1.083E-02 2.062E-03 3.897E-14 2.357E-14 1.388E-13
k_no2 (NO2) 6.006E-19 4.932E-19 2.886E-19 8.767E-20 8.008E-21 1.820E-21 6.223E-23 0.000E+00 0.000E+00 0.000E+00

OLCI-S3A

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8 Band9 Band10 Band11 Band12 Band13 Band14 Band15 Band16 Band17 Band18 Band19 Band20 Band21
Nominal Wave Center (int) 400 412 443 490 510 560 620 665 674 682 709 754 762 765 768 779 866 884 899 939 1013
Wave Center 399.939 411.854 442.957 490.469 510.445 560.440 620.393 665.259 674.022 681.563 709.112 754.184 761.726 764.826 767.917 779.227 865.549 884.336 899.346 939.306 1012.932
Wave Width (fwhm) 14.011 9.843 9.943 9.992 9.957 10.006 9.939 9.987 7.526 7.527 10.013 7.512 2.637 3.718 2.610 15.014 19.956 9.977 9.964 19.859 27.038
F0 (Thuillier) 151.367 170.800 188.997 193.626 191.965 179.685 164.914 153.015 149.472 146.886 140.311 126.632 124.745 123.900 122.977 117.350 95.970 93.085 89.578 82.642 69.971
Taur (Rayleigh) 3.558E-01 3.185E-01 2.354E-01 1.548E-01 1.316E-01 8.977E-02 5.934E-02 4.470E-02 4.239E-02 4.052E-02 3.452E-02 2.689E-02 2.583E-02 2.541E-02 2.500E-02 2.358E-02 1.544E-02 1.415E-02 1.322E-02 1.112E-02 8.112E-03
Dpol (Depolarization) 2.967E-02 2.951E-02 2.912E-02 2.869E-02 2.855E-02 2.827E-02 2.804E-02 2.791E-02 2.789E-02 2.787E-02 2.781E-02 2.772E-02 2.771E-02 2.771E-02 2.770E-02 2.768E-02 2.757E-02 2.755E-02 2.754E-02 2.750E-02 2.745E-02
k_oz (Ozone) 2.243E-06 2.245E-04 3.058E-03 2.072E-02 4.131E-02 1.066E-01 1.079E-01 4.978E-02 4.068E-02 3.487E-02 1.879E-02 8.558E-03 6.764E-03 6.895E-03 6.754E-03 7.674E-03 2.090E-03 1.204E-03 1.533E-03 7.002E-04 8.556E-05
k_no2 (NO2) 6.188E-19 6.097E-19 4.956E-19 2.936E-19 2.169E-19 7.444E-20 2.781E-20 6.744E-21 1.008E-20 6.154E-21 4.947E-21 1.362E-21 4.510E-22 6.446E-22 4.920E-22 3.786E-22 2.690E-23 4.338E-23 5.291E-23 4.464E-24 0.000E+00
aw (water) 6.609E-03 4.642E-03 7.082E-03 1.545E-02 3.324E-02 6.231E-02 2.763E-01 4.292E-01 4.494E-01 4.733E-01 8.117E-01 2.868E+00 2.868E+00 2.857E+00 2.832E+00 2.690E+00 4.634E+00 5.525E+00 6.374E+00 1.825E+01 3.207E+01
bbw (water) 3.350E-03 2.962E-03 2.168E-03 1.407E-03 1.189E-03 8.030E-04 5.254E-04 3.930E-04 3.723E-04 3.555E-04 3.017E-04 2.338E-04 2.243E-04 2.206E-04 2.170E-04 2.043E-04 1.326E-04 1.213E-04 1.132E-04 9.481E-05 6.872E-05
Wave Peak 405.000 412.400 442.400 493.300 513.300 562.400 623.200 668.200 674.600 683.200 711.000 753.500 761.700 764.800 767.900 781.100 857.600 881.300 896.300 931.300 1001.200
Wave Avg White 400.303 411.845 442.963 490.493 510.468 560.450 620.409 665.274 674.025 681.571 709.115 754.181 761.726 764.825 767.917 779.257 865.430 884.308 899.311 938.973 1015.799
Wave Avg Solar 401.113 411.904 443.077 490.581 510.386 560.429 620.412 665.257 674.010 681.554 709.068 754.186 761.724 764.809 767.921 779.186 865.377 884.291 899.275 938.883 1015.555
Wave Avg Rayleigh 400.956 411.817 442.996 490.507 510.315 560.364 620.355 665.203 673.978 681.523 709.017 754.158 761.719 764.801 767.915 779.086 865.220 884.250 899.236 938.737 1015.064

OLCI-S3B

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8 Band9 Band10 Band11 Band12 Band13 Band14 Band15 Band16 Band17 Band18 Band19 Band20 Band21
Nominal Wave Center (int) 400 412 443 490 510 560 620 665 674 681 709 754 762 765 768 779 865 884 899 939 1013
Wave Center 400.330 411.944 443.003 490.384 510.379 560.357 620.267 665.117 673.864 681.382 708.975 754.029 761.560 764.692 767.821 779.083 865.391 884.159 899.160 939.137 1012.824
Wave Width (fwhm) 13.342 9.870 9.926 9.982 9.969 9.996 9.930 9.977 7.500 7.520 10.009 7.514 2.601 3.756 2.593 15.003 19.933 9.965 9.960 19.843 26.940
F0 (Thuillier) 153.478 170.923 189.035 193.465 192.084 179.749 164.929 153.054 149.539 146.964 140.397 126.629 124.763 124.003 122.947 117.426 95.964 93.120 89.589 82.668 69.981
Taur (Rayleigh) 3.549E-01 3.181E-01 2.354E-01 1.549E-01 1.317E-01 8.983E-02 5.939E-02 4.474E-02 4.243E-02 4.056E-02 3.455E-02 2.692E-02 2.585E-02 2.543E-02 2.501E-02 2.360E-02 1.545E-02 1.416E-02 1.323E-02 1.113E-02 8.114E-03
Dpol (Depolarization) 2.967E-02 2.951E-02 2.912E-02 2.869E-02 2.855E-02 2.827E-02 2.804E-02 2.791E-02 2.789E-02 2.787E-02 2.781E-02 2.772E-02 2.771E-02 2.771E-02 2.770E-02 2.768E-02 2.757E-02 2.755E-02 2.754E-02 2.750E-02 2.745E-02
k_oz (Ozone) 2.121E-06 2.280E-04 3.063E-03 2.068E-02 4.130E-02 1.064E-01 1.081E-01 4.993E-02 4.082E-02 3.498E-02 1.882E-02 8.624E-03 6.740E-03 6.904E-03 6.752E-03 7.685E-03 2.110E-03 1.199E-03 1.537E-03 6.977E-04 8.588E-05
k_no2 (NO2) 6.184E-19 6.089E-19 4.963E-19 2.933E-19 2.176E-19 7.427E-20 2.795E-20 6.685E-21 1.012E-20 6.230E-21 4.950E-21 1.371E-21 4.456E-22 6.409E-22 5.021E-22 3.752E-22 2.742E-23 4.292E-23 5.230E-23 4.703E-24 0.000E+00
aw (water) 6.534E-03 4.634E-03 7.088E-03 1.541E-02 3.315E-02 6.227E-02 2.761E-01 4.288E-01 4.490E-01 4.726E-01 8.079E-01 2.868E+00 2.869E+00 2.858E+00 2.833E+00 2.694E+00 4.629E+00 5.515E+00 6.362E+00 1.811E+01 3.210E+01
bbw (water) 3.339E-03 2.958E-03 2.167E-03 1.408E-03 1.189E-03 8.035E-04 5.258E-04 3.934E-04 3.726E-04 3.559E-04 3.019E-04 2.340E-04 2.245E-04 2.208E-04 2.171E-04 2.045E-04 1.327E-04 1.214E-04 1.133E-04 9.489E-05 6.874E-05
Wave Peak 405.200 412.600 441.100 493.300 513.300 563.300 623.200 668.100 674.500 682.000 710.900 753.400 761.600 764.700 767.800 777.200 857.400 881.100 896.100 931.100 1001.200
Wave Avg White 400.595 411.951 442.988 490.399 510.402 560.366 620.284 665.131 673.868 681.385 708.982 754.028 761.559 764.692 767.822 779.079 865.271 884.127 899.122 938.798 1015.734
Wave Avg Solar 401.346 412.011 443.102 490.487 510.322 560.345 620.288 665.114 673.853 681.370 708.935 754.033 761.557 764.677 767.826 779.007 865.222 884.108 899.084 938.707 1015.490
Wave Avg Rayleigh 401.199 411.924 443.023 490.414 510.251 560.280 620.232 665.060 673.822 681.339 708.884 754.006 761.552 764.669 767.821 778.907 865.066 884.068 899.045 938.562 1014.999

MERIS

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8 Band9 Band10 Band11 Band12 Band13 Band14 Band15
Wave Center 412.496 442.497 489.999 510.000 560.000 620.001 665.001 681.251 708.751 753.750 761.875 778.752 865.003 885.000 900.001
Wave Average 412.500 442.500 490.000 510.000 560.000 620.000 665.000 681.250 708.750 753.750 761.875 778.750 865.000 885.000 900.000
Wave Peak 414.400 444.400 491.900 511.900 558.100 618.100 663.100 680.600 706.900 753.100 761.900 774.400 858.100 883.100 898.100
Wave Width (fwhm) 9.930 9.945 9.965 9.971 9.983 9.991 9.994 7.493 9.996 7.493 3.742 15.000 19.999 9.990 9.988
F0 (Thuillier) 171.366 187.751 192.934 192.687 180.049 164.970 153.091 147.022 140.546 126.620 124.979 117.571 95.888 92.975 89.544
Taur (Rayleigh) 3.164E-01 2.364E-01 1.554E-01 1.321E-01 9.007E-02 5.950E-02 4.477E-02 4.059E-02 3.459E-02 2.695E-02 2.581E-02 2.364E-02 1.547E-02 1.410E-02 1.318E-02
Dpol (Depolarization) 2.948E-02 2.910E-02 2.867E-02 2.853E-02 2.826E-02 2.802E-02 2.789E-02 2.785E-02 2.779E-02 2.770E-02 2.769E-02 2.766E-02 2.755E-02 2.753E-02 2.752E-02
k_oz (Ozone) 2.468E-04 2.998E-03 2.053E-02 4.126E-02 1.056E-01 1.085E-01 5.007E-02 3.507E-02 1.887E-02 8.748E-03 6.801E-03 7.700E-03 2.143E-03 1.226E-03 1.515E-03
k_no2 (NO2) 6.074E-19 4.907E-19 2.916E-19 2.218E-19 7.338E-20 2.823E-20 6.626E-21 6.285E-21 4.950E-21 1.384E-21 4.717E-22 3.692E-22 2.885E-23 4.551E-23 5.522E-23

OLI-Landsat8

Spectral Response Functions

Quantity Band1 Band2 Band3 Band4 Band5 Band6 Band7 Band8
Wave Center (int) 443 482 561 655 865 1373 1609 2201
Wave Center 442.914 482.064 561.451 654.628 864.631 1373.499 1608.839 2200.693
Wave Width (fwhm) 15.963 60.073 57.379 37.491 28.185 20.384 84.664 186.721
F0 (Thuillier) 189.652 200.396 182.079 155.038 95.063 36.690 24.755 8.546
Taur (Rayleigh) 2.352E-01 1.685E-01 9.020E-02 4.793E-02 1.551E-02 2.410E-03 1.284E-03 3.697E-04
Dpol (Depolarization) 2.910E-02 2.874E-02 2.825E-02 2.792E-02 2.755E-02 2.728E-02 2.724E-02 2.718E-02
k_oz (Ozone) 2.929E-03 1.957E-02 1.038E-01 6.200E-02 2.223E-03 0.000E+00 0.000E+00 0.000E+00
k_no2 (NO2) 5.024E-19 3.213E-19 8.351E-20 1.177E-20 3.306E-23 0.000E+00 0.000E+00 0.000E+00

MOS

Spectral Response Functions

Wavelength (nm)
  408 443 485 520 570 615 650 685 750 815 870 945 1010
F0 171.644 188.529 199.386 179.075 179.026 166.018 157.488 146.587 127.555 110.077 95.321 81.585 70.778
aw 0.005086 0.007079 0.01350 0.04056 0.06941 0.2682 0.3442 0.4868 2.853 2.229 4.680 20.01 35.24
bbw 0.003488 0.002435 0.001678 0.001227 0.0008314 0.0006001 0.0004755 0.0003813 0.0002602 0.0001834 0.0001394 9.854e-05 7.352e-05
koz 0.0007116 0.003701 0.02109 0.04829 0.1225 0.1137 0.06514 0.03437 0.01031 0.004949 0.002539 0.0000 0.0000
taur 0.3336 0.2359 0.1650 0.1222 0.08427 0.06172 0.04944 0.04006 0.02783 0.01994 0.01535 0.01102 0.008336

POLDER

Spectral Response Functions

Wavelength (nm)
  443 490 565 670 765 865
F0 190.539 195.458 180.367 150.600 123.358 96.282
koz 0.004029 0.02561 0.1116 0.04555 0.008402 0.002946
taur 0.2336 0.1534 0.08765 0.04364 0.02580 0.01590

OSMI

Spectral Response Functions

Wavelength (nm)
  412 443 490 555 765 865
F0 173.095 191.330 196.579 183.202 122.727 95.1830
koz 0.001071 0.004073 0.02495 0.09734 0.008265 0.002595
taur 0.3113 0.2334 0.1548 0.09339 0.02556 0.01547