colour.sd_rayleigh_jeans

colour.sd_rayleigh_jeans(temperature: float, shape: SpectralShape = SPECTRAL_SHAPE_DEFAULT) → SpectralDistribution

Generate the spectral distribution of the planckian radiator for the specified temperature \(T[K]\) with values in watts per steradian per square metre per nanometre (\(W/sr/m^2/nm\)) according to the Rayleigh-Jeans law.

Parameters:

• temperature (float) – Temperature \(T[K]\) in kelvins.

• shape (SpectralShape) – Spectral shape used to create the spectral distribution of the planckian radiator.

Returns:

Blackbody spectral distribution with values in watts per steradian per square metre per nanometre (\(W/sr/m^2/nm\)).

Return type:

colour.SpectralDistribution

Notes

• The Rayleigh-Jeans law agrees with experimental results at large wavelengths (low frequencies) but strongly disagrees at short wavelengths (high frequencies). This inconsistency between observations and the predictions of classical physics is commonly known as the ultraviolet catastrophe.

Examples

>>> from colour.utilities import numpy_print_options
>>> with numpy_print_options(suppress=True):
...     sd_rayleigh_jeans(5000, shape=SpectralShape(400, 700, 20))
...
SpectralDistribution([[     400.        ,  1616829.9106941...],
                      [     420.        ,  1330169.9688456...],
                      [     440.        ,  1104316.5840408...],
                      [     460.        ,   924427.7490112...],
                      [     480.        ,   779721.2146480...],
                      [     500.        ,   662253.5314203...],
                      [     520.        ,   566097.0941823...],
                      [     540.        ,   486776.1157138...],
                      [     560.        ,   420874.0917050...],
                      [     580.        ,   365756.7299433...],
                      [     600.        ,   319373.8095198...],
                      [     620.        ,   280115.7588306...],
                      [     640.        ,   246708.6655722...],
                      [     660.        ,   218136.6091932...],
                      [     680.        ,   193583.6389284...],
                      [     700.        ,   172390.0279623...]],
                     SpragueInterpolator,
                     {},
                     Extrapolator,
                     {'method': 'Constant', 'left': None, 'right': None})