colour.sd_rayleigh_scattering#

colour.sd_rayleigh_scattering(shape: SpectralShape = SPECTRAL_SHAPE_DEFAULT, CO2_concentration: ArrayLike = CONSTANT_STANDARD_CO2_CONCENTRATION, temperature: ArrayLike = CONSTANT_STANDARD_AIR_TEMPERATURE, pressure: ArrayLike = CONSTANT_AVERAGE_PRESSURE_MEAN_SEA_LEVEL, latitude: ArrayLike = CONSTANT_DEFAULT_LATITUDE, altitude: ArrayLike = CONSTANT_DEFAULT_ALTITUDE, avogadro_constant: ArrayLike = CONSTANT_AVOGADRO, n_s_function: Callable = air_refraction_index_Bodhaine1999, F_air_function: Callable = F_air_Bodhaine1999) SpectralDistribution[source]#

Generate Rayleigh scattering spectral distribution for the specified spectral shape.

Parameters:
  • shape (SpectralShape) – Spectral shape used to create the Rayleigh scattering spectral distribution.

  • CO2_concentration (ArrayLike) – \(CO_2\) concentration in parts per million (ppm).

  • temperature (ArrayLike) – Air temperature \(T[K]\) in kelvin degrees.

  • pressure (ArrayLike) – Surface pressure \(P\) of the measurement site.

  • latitude (ArrayLike) – Latitude of the site in degrees.

  • altitude (ArrayLike) – Altitude of the site in meters.

  • avogadro_constant (ArrayLike) – Avogadro’s number (molecules \(mol^{-1}\)).

  • n_s_function (Callable) – Air refraction index \(n_s\) computation method.

  • F_air_function (Callable) – \((6+3_p)/(6-7_p)\), the depolarisation term \(F(air)\) or King Factor computation method.

Returns:

Rayleigh optical depth spectral distribution.

Return type:

colour.SpectralDistribution

References

[BWDS99], [Wikipedia01d]

Examples

>>> from colour.utilities import numpy_print_options
>>> with numpy_print_options(suppress=True):
...     sd_rayleigh_scattering()
SpectralDistribution([[360.        ,   0.5602465...],
                      [361.        ,   0.5537481...],
                      [362.        ,   0.5473446...],
                      [363.        ,   0.5410345...],
                      [364.        ,   0.5348161...],
                      [365.        ,   0.5286877...],
                      [366.        ,   0.5226477...],
                      [367.        ,   0.5166948...],
                      [368.        ,   0.5108272...],
                      [369.        ,   0.5050436...],
                      [370.        ,   0.4993425...],
                      [371.        ,   0.4937224...],
                      [372.        ,   0.4881820...],
                      [373.        ,   0.4827199...],
                      [374.        ,   0.4773348...],
                      [375.        ,   0.4720253...],
                      [376.        ,   0.4667902...],
                      [377.        ,   0.4616282...],
                      [378.        ,   0.4565380...],
                      [379.        ,   0.4515186...],
                      [380.        ,   0.4465686...],
                      [381.        ,   0.4416869...],
                      [382.        ,   0.4368724...],
                      [383.        ,   0.4321240...],
                      [384.        ,   0.4274405...],
                      [385.        ,   0.4228209...],
                      [386.        ,   0.4182641...],
                      [387.        ,   0.4137692...],
                      [388.        ,   0.4093350...],
                      [389.        ,   0.4049607...],
                      [390.        ,   0.4006451...],
                      [391.        ,   0.3963874...],
                      [392.        ,   0.3921867...],
                      [393.        ,   0.3880419...],
                      [394.        ,   0.3839523...],
                      [395.        ,   0.3799169...],
                      [396.        ,   0.3759348...],
                      [397.        ,   0.3720053...],
                      [398.        ,   0.3681274...],
                      [399.        ,   0.3643003...],
                      [400.        ,   0.3605233...],
                      [401.        ,   0.3567956...],
                      [402.        ,   0.3531163...],
                      [403.        ,   0.3494847...],
                      [404.        ,   0.3459001...],
                      [405.        ,   0.3423617...],
                      [406.        ,   0.3388689...],
                      [407.        ,   0.3354208...],
                      [408.        ,   0.3320169...],
                      [409.        ,   0.3286563...],
                      [410.        ,   0.3253386...],
                      [411.        ,   0.3220629...],
                      [412.        ,   0.3188287...],
                      [413.        ,   0.3156354...],
                      [414.        ,   0.3124822...],
                      [415.        ,   0.3093687...],
                      [416.        ,   0.3062941...],
                      [417.        ,   0.3032579...],
                      [418.        ,   0.3002596...],
                      [419.        ,   0.2972985...],
                      [420.        ,   0.2943741...],
                      [421.        ,   0.2914858...],
                      [422.        ,   0.2886332...],
                      [423.        ,   0.2858157...],
                      [424.        ,   0.2830327...],
                      [425.        ,   0.2802837...],
                      [426.        ,   0.2775683...],
                      [427.        ,   0.2748860...],
                      [428.        ,   0.2722362...],
                      [429.        ,   0.2696185...],
                      [430.        ,   0.2670324...],
                      [431.        ,   0.2644775...],
                      [432.        ,   0.2619533...],
                      [433.        ,   0.2594594...],
                      [434.        ,   0.2569952...],
                      [435.        ,   0.2545605...],
                      [436.        ,   0.2521548...],
                      [437.        ,   0.2497776...],
                      [438.        ,   0.2474285...],
                      [439.        ,   0.2451072...],
                      [440.        ,   0.2428133...],
                      [441.        ,   0.2405463...],
                      [442.        ,   0.2383059...],
                      [443.        ,   0.2360916...],
                      [444.        ,   0.2339033...],
                      [445.        ,   0.2317404...],
                      [446.        ,   0.2296026...],
                      [447.        ,   0.2274895...],
                      [448.        ,   0.2254009...],
                      [449.        ,   0.2233364...],
                      [450.        ,   0.2212956...],
                      [451.        ,   0.2192782...],
                      [452.        ,   0.2172839...],
                      [453.        ,   0.2153124...],
                      [454.        ,   0.2133633...],
                      [455.        ,   0.2114364...],
                      [456.        ,   0.2095313...],
                      [457.        ,   0.2076478...],
                      [458.        ,   0.2057855...],
                      [459.        ,   0.2039442...],
                      [460.        ,   0.2021235...],
                      [461.        ,   0.2003233...],
                      [462.        ,   0.1985432...],
                      [463.        ,   0.1967829...],
                      [464.        ,   0.1950423...],
                      [465.        ,   0.1933209...],
                      [466.        ,   0.1916186...],
                      [467.        ,   0.1899351...],
                      [468.        ,   0.1882702...],
                      [469.        ,   0.1866236...],
                      [470.        ,   0.1849951...],
                      [471.        ,   0.1833844...],
                      [472.        ,   0.1817913...],
                      [473.        ,   0.1802156...],
                      [474.        ,   0.1786570...],
                      [475.        ,   0.1771153...],
                      [476.        ,   0.1755903...],
                      [477.        ,   0.1740818...],
                      [478.        ,   0.1725895...],
                      [479.        ,   0.1711133...],
                      [480.        ,   0.1696529...],
                      [481.        ,   0.1682082...],
                      [482.        ,   0.1667789...],
                      [483.        ,   0.1653648...],
                      [484.        ,   0.1639658...],
                      [485.        ,   0.1625816...],
                      [486.        ,   0.1612121...],
                      [487.        ,   0.1598570...],
                      [488.        ,   0.1585163...],
                      [489.        ,   0.1571896...],
                      [490.        ,   0.1558769...],
                      [491.        ,   0.1545779...],
                      [492.        ,   0.1532925...],
                      [493.        ,   0.1520205...],
                      [494.        ,   0.1507617...],
                      [495.        ,   0.1495160...],
                      [496.        ,   0.1482832...],
                      [497.        ,   0.1470632...],
                      [498.        ,   0.1458558...],
                      [499.        ,   0.1446607...],
                      [500.        ,   0.1434780...],
                      [501.        ,   0.1423074...],
                      [502.        ,   0.1411488...],
                      [503.        ,   0.140002...],
                      [504.        ,   0.1388668...],
                      [505.        ,   0.1377433...],
                      [506.        ,   0.1366311...],
                      [507.        ,   0.1355301...],
                      [508.        ,   0.1344403...],
                      [509.        ,   0.1333615...],
                      [510.        ,   0.1322936...],
                      [511.        ,   0.1312363...],
                      [512.        ,   0.1301897...],
                      [513.        ,   0.1291535...],
                      [514.        ,   0.1281277...],
                      [515.        ,   0.1271121...],
                      [516.        ,   0.1261065...],
                      [517.        ,   0.1251110...],
                      [518.        ,   0.1241253...],
                      [519.        ,   0.1231493...],
                      [520.        ,   0.1221829...],
                      [521.        ,   0.1212261...],
                      [522.        ,   0.1202786...],
                      [523.        ,   0.1193405...],
                      [524.        ,   0.1184115...],
                      [525.        ,   0.1174915...],
                      [526.        ,   0.1165806...],
                      [527.        ,   0.1156784...],
                      [528.        ,   0.1147851...],
                      [529.        ,   0.1139004...],
                      [530.        ,   0.1130242...],
                      [531.        ,   0.1121564...],
                      [532.        ,   0.1112971...],
                      [533.        ,   0.1104459...],
                      [534.        ,   0.1096030...],
                      [535.        ,   0.1087681...],
                      [536.        ,   0.1079411...],
                      [537.        ,   0.1071221...],
                      [538.        ,   0.1063108...],
                      [539.        ,   0.1055072...],
                      [540.        ,   0.1047113...],
                      [541.        ,   0.1039229...],
                      [542.        ,   0.1031419...],
                      [543.        ,   0.1023682...],
                      [544.        ,   0.1016019...],
                      [545.        ,   0.1008427...],
                      [546.        ,   0.1000906...],
                      [547.        ,   0.0993456...],
                      [548.        ,   0.0986075...],
                      [549.        ,   0.0978763...],
                      [550.        ,   0.0971519...],
                      [551.        ,   0.0964342...],
                      [552.        ,   0.0957231...],
                      [553.        ,   0.0950186...],
                      [554.        ,   0.0943206...],
                      [555.        ,   0.0936290...],
                      [556.        ,   0.0929438...],
                      [557.        ,   0.0922649...],
                      [558.        ,   0.0915922...],
                      [559.        ,   0.0909256...],
                      [560.        ,   0.0902651...],
                      [561.        ,   0.0896106...],
                      [562.        ,   0.0889620...],
                      [563.        ,   0.0883194...],
                      [564.        ,   0.0876825...],
                      [565.        ,   0.0870514...],
                      [566.        ,   0.0864260...],
                      [567.        ,   0.0858063...],
                      [568.        ,   0.0851921...],
                      [569.        ,   0.0845834...],
                      [570.        ,   0.0839801...],
                      [571.        ,   0.0833822...],
                      [572.        ,   0.0827897...],
                      [573.        ,   0.0822025...],
                      [574.        ,   0.0816204...],
                      [575.        ,   0.0810436...],
                      [576.        ,   0.0804718...],
                      [577.        ,   0.0799051...],
                      [578.        ,   0.0793434...],
                      [579.        ,   0.0787866...],
                      [580.        ,   0.0782347...],
                      [581.        ,   0.0776877...],
                      [582.        ,   0.0771454...],
                      [583.        ,   0.0766079...],
                      [584.        ,   0.0760751...],
                      [585.        ,   0.0755469...],
                      [586.        ,   0.0750234...],
                      [587.        ,   0.0745043...],
                      [588.        ,   0.0739898...],
                      [589.        ,   0.0734797...],
                      [590.        ,   0.0729740...],
                      [591.        ,   0.0724727...],
                      [592.        ,   0.0719757...],
                      [593.        ,   0.0714830...],
                      [594.        ,   0.0709944...],
                      [595.        ,   0.0705101...],
                      [596.        ,   0.0700299...],
                      [597.        ,   0.0695538...],
                      [598.        ,   0.0690818...],
                      [599.        ,   0.0686137...],
                      [600.        ,   0.0681497...],
                      [601.        ,   0.0676895...],
                      [602.        ,   0.0672333...],
                      [603.        ,   0.0667809...],
                      [604.        ,   0.0663323...],
                      [605.        ,   0.0658875...],
                      [606.        ,   0.0654464...],
                      [607.        ,   0.0650091...],
                      [608.        ,   0.0645753...],
                      [609.        ,   0.0641453...],
                      [610.        ,   0.0637187...],
                      [611.        ,   0.0632958...],
                      [612.        ,   0.0628764...],
                      [613.        ,   0.0624604...],
                      [614.        ,   0.0620479...],
                      [615.        ,   0.0616388...],
                      [616.        ,   0.0612331...],
                      [617.        ,   0.0608307...],
                      [618.        ,   0.0604316...],
                      [619.        ,   0.0600358...],
                      [620.        ,   0.0596433...],
                      [621.        ,   0.0592539...],
                      [622.        ,   0.0588678...],
                      [623.        ,   0.0584848...],
                      [624.        ,   0.0581049...],
                      [625.        ,   0.0577281...],
                      [626.        ,   0.0573544...],
                      [627.        ,   0.0569837...],
                      [628.        ,   0.0566160...],
                      [629.        ,   0.0562513...],
                      [630.        ,   0.0558895...],
                      [631.        ,   0.0555306...],
                      [632.        ,   0.0551746...],
                      [633.        ,   0.0548215...],
                      [634.        ,   0.0544712...],
                      [635.        ,   0.0541237...],
                      [636.        ,   0.0537789...],
                      [637.        ,   0.0534369...],
                      [638.        ,   0.0530977...],
                      [639.        ,   0.0527611...],
                      [640.        ,   0.0524272...],
                      [641.        ,   0.0520960...],
                      [642.        ,   0.0517674...],
                      [643.        ,   0.0514413...],
                      [644.        ,   0.0511179...],
                      [645.        ,   0.0507970...],
                      [646.        ,   0.0504786...],
                      [647.        ,   0.0501627...],
                      [648.        ,   0.0498493...],
                      [649.        ,   0.0495383...],
                      [650.        ,   0.0492298...],
                      [651.        ,   0.0489236...],
                      [652.        ,   0.0486199...],
                      [653.        ,   0.0483185...],
                      [654.        ,   0.0480194...],
                      [655.        ,   0.0477227...],
                      [656.        ,   0.0474283...],
                      [657.        ,   0.0471361...],
                      [658.        ,   0.0468462...],
                      [659.        ,   0.0465585...],
                      [660.        ,   0.0462730...],
                      [661.        ,   0.0459898...],
                      [662.        ,   0.0457087...],
                      [663.        ,   0.0454297...],
                      [664.        ,   0.0451529...],
                      [665.        ,   0.0448782...],
                      [666.        ,   0.0446055...],
                      [667.        ,   0.0443350...],
                      [668.        ,   0.0440665...],
                      [669.        ,   0.0438000...],
                      [670.        ,   0.0435356...],
                      [671.        ,   0.0432731...],
                      [672.        ,   0.0430127...],
                      [673.        ,   0.0427542...],
                      [674.        ,   0.0424976...],
                      [675.        ,   0.0422430...],
                      [676.        ,   0.0419902...],
                      [677.        ,   0.0417394...],
                      [678.        ,   0.0414905...],
                      [679.        ,   0.0412434...],
                      [680.        ,   0.0409981...],
                      [681.        ,   0.0407547...],
                      [682.        ,   0.0405131...],
                      [683.        ,   0.0402732...],
                      [684.        ,   0.0400352...],
                      [685.        ,   0.0397989...],
                      [686.        ,   0.0395643...],
                      [687.        ,   0.0393315...],
                      [688.        ,   0.0391004...],
                      [689.        ,   0.0388710...],
                      [690.        ,   0.0386433...],
                      [691.        ,   0.0384173...],
                      [692.        ,   0.0381929...],
                      [693.        ,   0.0379701...],
                      [694.        ,   0.0377490...],
                      [695.        ,   0.0375295...],
                      [696.        ,   0.0373115...],
                      [697.        ,   0.0370952...],
                      [698.        ,   0.0368804...],
                      [699.        ,   0.0366672...],
                      [700.        ,   0.0364556...],
                      [701.        ,   0.0362454...],
                      [702.        ,   0.0360368...],
                      [703.        ,   0.0358297...],
                      [704.        ,   0.0356241...],
                      [705.        ,   0.0354199...],
                      [706.        ,   0.0352172...],
                      [707.        ,   0.0350160...],
                      [708.        ,   0.0348162...],
                      [709.        ,   0.0346178...],
                      [710.        ,   0.0344208...],
                      [711.        ,   0.0342253...],
                      [712.        ,   0.0340311...],
                      [713.        ,   0.0338383...],
                      [714.        ,   0.0336469...],
                      [715.        ,   0.0334569...],
                      [716.        ,   0.0332681...],
                      [717.        ,   0.0330807...],
                      [718.        ,   0.0328947...],
                      [719.        ,   0.0327099...],
                      [720.        ,   0.0325264...],
                      [721.        ,   0.0323443...],
                      [722.        ,   0.0321634...],
                      [723.        ,   0.0319837...],
                      [724.        ,   0.0318054...],
                      [725.        ,   0.0316282...],
                      [726.        ,   0.0314523...],
                      [727.        ,   0.0312777...],
                      [728.        ,   0.0311042...],
                      [729.        ,   0.0309319...],
                      [730.        ,   0.0307609...],
                      [731.        ,   0.0305910...],
                      [732.        ,   0.0304223...],
                      [733.        ,   0.0302548...],
                      [734.        ,   0.0300884...],
                      [735.        ,   0.0299231...],
                      [736.        ,   0.0297590...],
                      [737.        ,   0.0295960...],
                      [738.        ,   0.0294342...],
                      [739.        ,   0.0292734...],
                      [740.        ,   0.0291138...],
                      [741.        ,   0.0289552...],
                      [742.        ,   0.0287977...],
                      [743.        ,   0.0286413...],
                      [744.        ,   0.0284859...],
                      [745.        ,   0.0283316...],
                      [746.        ,   0.0281784...],
                      [747.        ,   0.0280262...],
                      [748.        ,   0.0278750...],
                      [749.        ,   0.0277248...],
                      [750.        ,   0.0275757...],
                      [751.        ,   0.0274275...],
                      [752.        ,   0.0272804...],
                      [753.        ,   0.0271342...],
                      [754.        ,   0.0269890...],
                      [755.        ,   0.0268448...],
                      [756.        ,   0.0267015...],
                      [757.        ,   0.0265592...],
                      [758.        ,   0.0264179...],
                      [759.        ,   0.0262775...],
                      [760.        ,   0.0261380...],
                      [761.        ,   0.0259995...],
                      [762.        ,   0.0258618...],
                      [763.        ,   0.0257251...],
                      [764.        ,   0.0255893...],
                      [765.        ,   0.0254544...],
                      [766.        ,   0.0253204...],
                      [767.        ,   0.0251872...],
                      [768.        ,   0.0250550...],
                      [769.        ,   0.0249236...],
                      [770.        ,   0.0247930...],
                      [771.        ,   0.0246633...],
                      [772.        ,   0.0245345...],
                      [773.        ,   0.0244065...],
                      [774.        ,   0.0242794...],
                      [775.        ,   0.0241530...],
                      [776.        ,   0.0240275...],
                      [777.        ,   0.0239029...],
                      [778.        ,   0.0237790...],
                      [779.        ,   0.0236559...],
                      [780.        ,   0.0235336...]],
                     SpragueInterpolator,
                     {},
                     Extrapolator,
                     {'method': 'Constant', 'left': None, 'right': None})