colour.rayleigh_scattering_spd

colour.rayleigh_scattering_spd(shape=SpectralShape(360, 780, 1), CO2_concentration=300, temperature=288.15, pressure=101325, latitude=0, altitude=0, avogadro_constant=6.02214179e+23, n_s=<function air_refraction_index_Bodhaine1999>, F_air=<function F_air_Bodhaine1999>)[source]

Returns the Rayleigh spectral power distribution for given spectral shape.

Parameters:
  • shape (SpectralShape, optional) – Spectral shape used to create the Rayleigh scattering spectral power distribution.
  • CO2_concentration (numeric or array_like, optional) – \(CO_2\) concentration in parts per million (ppm).
  • temperature (numeric or array_like, optional) – Air temperature \(T[K]\) in kelvin degrees.
  • pressure (numeric or array_like) – Surface pressure \(P\) of the measurement site.
  • latitude (numeric or array_like, optional) – Latitude of the site in degrees.
  • altitude (numeric or array_like, optional) – Altitude of the site in meters.
  • avogadro_constant (numeric or array_like, optional) – Avogadro’s number (molecules \(mol^{-1}\)).
  • n_s (object) – Air refraction index \(n_s\) computation method.
  • F_air (object) – \((6+3_p)/(6-7_p)\), the depolarisation term \(F(air)\) or King Factor computation method.
Returns:

Rayleigh optical depth spectral power distribution.

Return type:

SpectralPowerDistribution

References

Examples

>>> from colour.utilities import numpy_print_options
>>> with numpy_print_options(suppress=True):
...     rayleigh_scattering_spd()  
SpectralPowerDistribution([[ 360.        ,    0.5991013...],
                           [ 361.        ,    0.5921706...],
                           [ 362.        ,    0.5853410...],
                           [ 363.        ,    0.5786105...],
                           [ 364.        ,    0.5719774...],
                           [ 365.        ,    0.5654401...],
                           [ 366.        ,    0.5589968...],
                           [ 367.        ,    0.5526460...],
                           [ 368.        ,    0.5463860...],
                           [ 369.        ,    0.5402153...],
                           [ 370.        ,    0.5341322...],
                           [ 371.        ,    0.5281354...],
                           [ 372.        ,    0.5222234...],
                           [ 373.        ,    0.5163946...],
                           [ 374.        ,    0.5106476...],
                           [ 375.        ,    0.5049812...],
                           [ 376.        ,    0.4993939...],
                           [ 377.        ,    0.4938844...],
                           [ 378.        ,    0.4884513...],
                           [ 379.        ,    0.4830934...],
                           [ 380.        ,    0.4778095...],
                           [ 381.        ,    0.4725983...],
                           [ 382.        ,    0.4674585...],
                           [ 383.        ,    0.4623891...],
                           [ 384.        ,    0.4573889...],
                           [ 385.        ,    0.4524566...],
                           [ 386.        ,    0.4475912...],
                           [ 387.        ,    0.4427917...],
                           [ 388.        ,    0.4380568...],
                           [ 389.        ,    0.4333856...],
                           [ 390.        ,    0.4287771...],
                           [ 391.        ,    0.4242302...],
                           [ 392.        ,    0.4197439...],
                           [ 393.        ,    0.4153172...],
                           [ 394.        ,    0.4109493...],
                           [ 395.        ,    0.4066391...],
                           [ 396.        ,    0.4023857...],
                           [ 397.        ,    0.3981882...],
                           [ 398.        ,    0.3940458...],
                           [ 399.        ,    0.3899576...],
                           [ 400.        ,    0.3859227...],
                           [ 401.        ,    0.3819402...],
                           [ 402.        ,    0.3780094...],
                           [ 403.        ,    0.3741295...],
                           [ 404.        ,    0.3702996...],
                           [ 405.        ,    0.366519 ...],
                           [ 406.        ,    0.3627868...],
                           [ 407.        ,    0.3591025...],
                           [ 408.        ,    0.3554651...],
                           [ 409.        ,    0.3518740...],
                           [ 410.        ,    0.3483286...],
                           [ 411.        ,    0.344828 ...],
                           [ 412.        ,    0.3413716...],
                           [ 413.        ,    0.3379587...],
                           [ 414.        ,    0.3345887...],
                           [ 415.        ,    0.3312609...],
                           [ 416.        ,    0.3279747...],
                           [ 417.        ,    0.3247294...],
                           [ 418.        ,    0.3215245...],
                           [ 419.        ,    0.3183593...],
                           [ 420.        ,    0.3152332...],
                           [ 421.        ,    0.3121457...],
                           [ 422.        ,    0.3090962...],
                           [ 423.        ,    0.3060841...],
                           [ 424.        ,    0.3031088...],
                           [ 425.        ,    0.3001699...],
                           [ 426.        ,    0.2972668...],
                           [ 427.        ,    0.2943989...],
                           [ 428.        ,    0.2915657...],
                           [ 429.        ,    0.2887668...],
                           [ 430.        ,    0.2860017...],
                           [ 431.        ,    0.2832697...],
                           [ 432.        ,    0.2805706...],
                           [ 433.        ,    0.2779037...],
                           [ 434.        ,    0.2752687...],
                           [ 435.        ,    0.2726650...],
                           [ 436.        ,    0.2700922...],
                           [ 437.        ,    0.2675500...],
                           [ 438.        ,    0.2650377...],
                           [ 439.        ,    0.2625551...],
                           [ 440.        ,    0.2601016...],
                           [ 441.        ,    0.2576770...],
                           [ 442.        ,    0.2552807...],
                           [ 443.        ,    0.2529124...],
                           [ 444.        ,    0.2505716...],
                           [ 445.        ,    0.2482581...],
                           [ 446.        ,    0.2459713...],
                           [ 447.        ,    0.2437110...],
                           [ 448.        ,    0.2414768...],
                           [ 449.        ,    0.2392683...],
                           [ 450.        ,    0.2370851...],
                           [ 451.        ,    0.2349269...],
                           [ 452.        ,    0.2327933...],
                           [ 453.        ,    0.2306841...],
                           [ 454.        ,    0.2285989...],
                           [ 455.        ,    0.2265373...],
                           [ 456.        ,    0.2244990...],
                           [ 457.        ,    0.2224838...],
                           [ 458.        ,    0.2204912...],
                           [ 459.        ,    0.2185211...],
                           [ 460.        ,    0.2165730...],
                           [ 461.        ,    0.2146467...],
                           [ 462.        ,    0.2127419...],
                           [ 463.        ,    0.2108583...],
                           [ 464.        ,    0.2089957...],
                           [ 465.        ,    0.2071536...],
                           [ 466.        ,    0.2053320...],
                           [ 467.        ,    0.2035304...],
                           [ 468.        ,    0.2017487...],
                           [ 469.        ,    0.1999865...],
                           [ 470.        ,    0.1982436...],
                           [ 471.        ,    0.1965198...],
                           [ 472.        ,    0.1948148...],
                           [ 473.        ,    0.1931284...],
                           [ 474.        ,    0.1914602...],
                           [ 475.        ,    0.1898101...],
                           [ 476.        ,    0.1881779...],
                           [ 477.        ,    0.1865633...],
                           [ 478.        ,    0.1849660...],
                           [ 479.        ,    0.1833859...],
                           [ 480.        ,    0.1818227...],
                           [ 481.        ,    0.1802762...],
                           [ 482.        ,    0.1787463...],
                           [ 483.        ,    0.1772326...],
                           [ 484.        ,    0.1757349...],
                           [ 485.        ,    0.1742532...],
                           [ 486.        ,    0.1727871...],
                           [ 487.        ,    0.1713365...],
                           [ 488.        ,    0.1699011...],
                           [ 489.        ,    0.1684809...],
                           [ 490.        ,    0.1670755...],
                           [ 491.        ,    0.1656848...],
                           [ 492.        ,    0.1643086...],
                           [ 493.        ,    0.1629468...],
                           [ 494.        ,    0.1615991...],
                           [ 495.        ,    0.1602654...],
                           [ 496.        ,    0.1589455...],
                           [ 497.        ,    0.1576392...],
                           [ 498.        ,    0.1563464...],
                           [ 499.        ,    0.1550668...],
                           [ 500.        ,    0.1538004...],
                           [ 501.        ,    0.1525470...],
                           [ 502.        ,    0.1513063...],
                           [ 503.        ,    0.1500783...],
                           [ 504.        ,    0.1488628...],
                           [ 505.        ,    0.1476597...],
                           [ 506.        ,    0.1464687...],
                           [ 507.        ,    0.1452898...],
                           [ 508.        ,    0.1441228...],
                           [ 509.        ,    0.1429675...],
                           [ 510.        ,    0.1418238...],
                           [ 511.        ,    0.1406916...],
                           [ 512.        ,    0.1395707...],
                           [ 513.        ,    0.1384610...],
                           [ 514.        ,    0.1373624...],
                           [ 515.        ,    0.1362747...],
                           [ 516.        ,    0.1351978...],
                           [ 517.        ,    0.1341316...],
                           [ 518.        ,    0.1330759...],
                           [ 519.        ,    0.1320306...],
                           [ 520.        ,    0.1309956...],
                           [ 521.        ,    0.1299707...],
                           [ 522.        ,    0.1289559...],
                           [ 523.        ,    0.1279511...],
                           [ 524.        ,    0.1269560...],
                           [ 525.        ,    0.1259707...],
                           [ 526.        ,    0.1249949...],
                           [ 527.        ,    0.1240286...],
                           [ 528.        ,    0.1230717...],
                           [ 529.        ,    0.1221240...],
                           [ 530.        ,    0.1211855...],
                           [ 531.        ,    0.1202560...],
                           [ 532.        ,    0.1193354...],
                           [ 533.        ,    0.1184237...],
                           [ 534.        ,    0.1175207...],
                           [ 535.        ,    0.1166263...],
                           [ 536.        ,    0.1157404...],
                           [ 537.        ,    0.1148630...],
                           [ 538.        ,    0.1139939...],
                           [ 539.        ,    0.1131331...],
                           [ 540.        ,    0.1122804...],
                           [ 541.        ,    0.1114357...],
                           [ 542.        ,    0.1105990...],
                           [ 543.        ,    0.1097702...],
                           [ 544.        ,    0.1089492...],
                           [ 545.        ,    0.1081358...],
                           [ 546.        ,    0.1073301...],
                           [ 547.        ,    0.1065319...],
                           [ 548.        ,    0.1057411...],
                           [ 549.        ,    0.1049577...],
                           [ 550.        ,    0.1041815...],
                           [ 551.        ,    0.1034125...],
                           [ 552.        ,    0.1026507...],
                           [ 553.        ,    0.1018958...],
                           [ 554.        ,    0.1011480...],
                           [ 555.        ,    0.1004070...],
                           [ 556.        ,    0.0996728...],
                           [ 557.        ,    0.0989453...],
                           [ 558.        ,    0.0982245...],
                           [ 559.        ,    0.0975102...],
                           [ 560.        ,    0.0968025...],
                           [ 561.        ,    0.0961012...],
                           [ 562.        ,    0.0954062...],
                           [ 563.        ,    0.0947176...],
                           [ 564.        ,    0.0940352...],
                           [ 565.        ,    0.0933589...],
                           [ 566.        ,    0.0926887...],
                           [ 567.        ,    0.0920246...],
                           [ 568.        ,    0.0913664...],
                           [ 569.        ,    0.0907141...],
                           [ 570.        ,    0.0900677...],
                           [ 571.        ,    0.0894270...],
                           [ 572.        ,    0.0887920...],
                           [ 573.        ,    0.0881627...],
                           [ 574.        ,    0.0875389...],
                           [ 575.        ,    0.0869207...],
                           [ 576.        ,    0.0863079...],
                           [ 577.        ,    0.0857006...],
                           [ 578.        ,    0.0850986...],
                           [ 579.        ,    0.0845019...],
                           [ 580.        ,    0.0839104...],
                           [ 581.        ,    0.0833242...],
                           [ 582.        ,    0.0827430...],
                           [ 583.        ,    0.082167 ...],
                           [ 584.        ,    0.0815959...],
                           [ 585.        ,    0.0810298...],
                           [ 586.        ,    0.0804687...],
                           [ 587.        ,    0.0799124...],
                           [ 588.        ,    0.0793609...],
                           [ 589.        ,    0.0788142...],
                           [ 590.        ,    0.0782722...],
                           [ 591.        ,    0.0777349...],
                           [ 592.        ,    0.0772022...],
                           [ 593.        ,    0.0766740...],
                           [ 594.        ,    0.0761504...],
                           [ 595.        ,    0.0756313...],
                           [ 596.        ,    0.0751166...],
                           [ 597.        ,    0.0746063...],
                           [ 598.        ,    0.0741003...],
                           [ 599.        ,    0.0735986...],
                           [ 600.        ,    0.0731012...],
                           [ 601.        ,    0.072608 ...],
                           [ 602.        ,    0.0721189...],
                           [ 603.        ,    0.0716340...],
                           [ 604.        ,    0.0711531...],
                           [ 605.        ,    0.0706763...],
                           [ 606.        ,    0.0702035...],
                           [ 607.        ,    0.0697347...],
                           [ 608.        ,    0.0692697...],
                           [ 609.        ,    0.0688087...],
                           [ 610.        ,    0.0683515...],
                           [ 611.        ,    0.0678981...],
                           [ 612.        ,    0.0674485...],
                           [ 613.        ,    0.0670026...],
                           [ 614.        ,    0.0665603...],
                           [ 615.        ,    0.0661218...],
                           [ 616.        ,    0.0656868...],
                           [ 617.        ,    0.0652555...],
                           [ 618.        ,    0.0648277...],
                           [ 619.        ,    0.0644033...],
                           [ 620.        ,    0.0639825...],
                           [ 621.        ,    0.0635651...],
                           [ 622.        ,    0.0631512...],
                           [ 623.        ,    0.0627406...],
                           [ 624.        ,    0.0623333...],
                           [ 625.        ,    0.0619293...],
                           [ 626.        ,    0.0615287...],
                           [ 627.        ,    0.0611312...],
                           [ 628.        ,    0.0607370...],
                           [ 629.        ,    0.0603460...],
                           [ 630.        ,    0.0599581...],
                           [ 631.        ,    0.0595733...],
                           [ 632.        ,    0.0591917...],
                           [ 633.        ,    0.0588131...],
                           [ 634.        ,    0.0584375...],
                           [ 635.        ,    0.0580649...],
                           [ 636.        ,    0.0576953...],
                           [ 637.        ,    0.0573286...],
                           [ 638.        ,    0.0569649...],
                           [ 639.        ,    0.0566040...],
                           [ 640.        ,    0.0562460...],
                           [ 641.        ,    0.0558909...],
                           [ 642.        ,    0.0555385...],
                           [ 643.        ,    0.0551890...],
                           [ 644.        ,    0.0548421...],
                           [ 645.        ,    0.0544981...],
                           [ 646.        ,    0.0541567...],
                           [ 647.        ,    0.053818 ...],
                           [ 648.        ,    0.0534819...],
                           [ 649.        ,    0.0531485...],
                           [ 650.        ,    0.0528176...],
                           [ 651.        ,    0.0524894...],
                           [ 652.        ,    0.0521637...],
                           [ 653.        ,    0.0518405...],
                           [ 654.        ,    0.0515198...],
                           [ 655.        ,    0.0512017...],
                           [ 656.        ,    0.0508859...],
                           [ 657.        ,    0.0505726...],
                           [ 658.        ,    0.0502618...],
                           [ 659.        ,    0.0499533...],
                           [ 660.        ,    0.0496472...],
                           [ 661.        ,    0.0493434...],
                           [ 662.        ,    0.0490420...],
                           [ 663.        ,    0.0487428...],
                           [ 664.        ,    0.0484460...],
                           [ 665.        ,    0.0481514...],
                           [ 666.        ,    0.0478591...],
                           [ 667.        ,    0.0475689...],
                           [ 668.        ,    0.0472810...],
                           [ 669.        ,    0.0469953...],
                           [ 670.        ,    0.0467117...],
                           [ 671.        ,    0.0464302...],
                           [ 672.        ,    0.0461509...],
                           [ 673.        ,    0.0458737...],
                           [ 674.        ,    0.0455986...],
                           [ 675.        ,    0.0453255...],
                           [ 676.        ,    0.0450545...],
                           [ 677.        ,    0.0447855...],
                           [ 678.        ,    0.0445185...],
                           [ 679.        ,    0.0442535...],
                           [ 680.        ,    0.0439905...],
                           [ 681.        ,    0.0437294...],
                           [ 682.        ,    0.0434703...],
                           [ 683.        ,    0.0432131...],
                           [ 684.        ,    0.0429578...],
                           [ 685.        ,    0.0427044...],
                           [ 686.        ,    0.0424529...],
                           [ 687.        ,    0.0422032...],
                           [ 688.        ,    0.0419553...],
                           [ 689.        ,    0.0417093...],
                           [ 690.        ,    0.0414651...],
                           [ 691.        ,    0.0412226...],
                           [ 692.        ,    0.0409820...],
                           [ 693.        ,    0.0407431...],
                           [ 694.        ,    0.0405059...],
                           [ 695.        ,    0.0402705...],
                           [ 696.        ,    0.0400368...],
                           [ 697.        ,    0.0398047...],
                           [ 698.        ,    0.0395744...],
                           [ 699.        ,    0.0393457...],
                           [ 700.        ,    0.0391187...],
                           [ 701.        ,    0.0388933...],
                           [ 702.        ,    0.0386696...],
                           [ 703.        ,    0.0384474...],
                           [ 704.        ,    0.0382269...],
                           [ 705.        ,    0.0380079...],
                           [ 706.        ,    0.0377905...],
                           [ 707.        ,    0.0375747...],
                           [ 708.        ,    0.0373604...],
                           [ 709.        ,    0.0371476...],
                           [ 710.        ,    0.0369364...],
                           [ 711.        ,    0.0367266...],
                           [ 712.        ,    0.0365184...],
                           [ 713.        ,    0.0363116...],
                           [ 714.        ,    0.0361063...],
                           [ 715.        ,    0.0359024...],
                           [ 716.        ,    0.0357000...],
                           [ 717.        ,    0.0354990...],
                           [ 718.        ,    0.0352994...],
                           [ 719.        ,    0.0351012...],
                           [ 720.        ,    0.0349044...],
                           [ 721.        ,    0.0347090...],
                           [ 722.        ,    0.0345150...],
                           [ 723.        ,    0.0343223...],
                           [ 724.        ,    0.0341310...],
                           [ 725.        ,    0.0339410...],
                           [ 726.        ,    0.0337523...],
                           [ 727.        ,    0.033565 ...],
                           [ 728.        ,    0.0333789...],
                           [ 729.        ,    0.0331941...],
                           [ 730.        ,    0.0330106...],
                           [ 731.        ,    0.0328284...],
                           [ 732.        ,    0.0326474...],
                           [ 733.        ,    0.0324677...],
                           [ 734.        ,    0.0322893...],
                           [ 735.        ,    0.0321120...],
                           [ 736.        ,    0.0319360...],
                           [ 737.        ,    0.0317611...],
                           [ 738.        ,    0.0315875...],
                           [ 739.        ,    0.0314151...],
                           [ 740.        ,    0.0312438...],
                           [ 741.        ,    0.0310737...],
                           [ 742.        ,    0.0309048...],
                           [ 743.        ,    0.0307370...],
                           [ 744.        ,    0.0305703...],
                           [ 745.        ,    0.0304048...],
                           [ 746.        ,    0.0302404...],
                           [ 747.        ,    0.0300771...],
                           [ 748.        ,    0.0299149...],
                           [ 749.        ,    0.0297538...],
                           [ 750.        ,    0.0295938...],
                           [ 751.        ,    0.0294349...],
                           [ 752.        ,    0.0292771...],
                           [ 753.        ,    0.0291203...],
                           [ 754.        ,    0.0289645...],
                           [ 755.        ,    0.0288098...],
                           [ 756.        ,    0.0286561...],
                           [ 757.        ,    0.0285035...],
                           [ 758.        ,    0.0283518...],
                           [ 759.        ,    0.0282012...],
                           [ 760.        ,    0.0280516...],
                           [ 761.        ,    0.0279030...],
                           [ 762.        ,    0.0277553...],
                           [ 763.        ,    0.0276086...],
                           [ 764.        ,    0.027463 ...],
                           [ 765.        ,    0.0273182...],
                           [ 766.        ,    0.0271744...],
                           [ 767.        ,    0.0270316...],
                           [ 768.        ,    0.0268897...],
                           [ 769.        ,    0.0267487...],
                           [ 770.        ,    0.0266087...],
                           [ 771.        ,    0.0264696...],
                           [ 772.        ,    0.0263314...],
                           [ 773.        ,    0.0261941...],
                           [ 774.        ,    0.0260576...],
                           [ 775.        ,    0.0259221...],
                           [ 776.        ,    0.0257875...],
                           [ 777.        ,    0.0256537...],
                           [ 778.        ,    0.0255208...],
                           [ 779.        ,    0.0253888...],
                           [ 780.        ,    0.0252576...]],
                          interpolator=SpragueInterpolator,
                          interpolator_args={},
                          extrapolator=Extrapolator,
                          extrapolator_args={...})