ewoksid24.fit.planck.spectral_radiance#
- ewoksid24.fit.planck.spectral_radiance(wavelength, temperature, scale)[source]#
Planck’s law describing the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature T.
\[B(\lambda, T) = \frac{2hc^2}{\lambda^5} \cdot \frac{1}{e^{\frac{hc}{\lambda kT} - 1}}\]Where:
\(B(\lambda, T)\) is the spectral radiance (\(\frac{W}{m^3\text{sr}}\)) at wavelength \(\lambda\) and temperature \(T\).
\(h\) is Planck’s constant (\(6.62607015 \times 10^{-34}\) J·s).
\(c\) is the speed of light in vacuum (\(2.998 \times 10^8\) m/s).
\(k\) is the Boltzmann constant (\(1.380649 \times 10^{-23}\) J/K).
\(\lambda\) is the wavelength of the radiation in meters.
\(T\) is the temperature of the blackbody radiator in Kelvin.
- Parameters:
wavelength (
ndarray
) – wavelength in nanometertemperature (
float
) – temperature in Kelvinscale (
float
) – scaling factor to fit the data
- Returns:
spectral radiance