Planck spectral radiance B(lambda, T)

Spectral radiance per unit wavelength, \(B_\lambda = (2hc^2/\lambda^5)/(e^{hc/\lambda k_B T} - 1)\) (Planck 1901; Rybicki and Lightman 1979, Sec. 1.5), together with the Wien displacement peak \(\lambda_{max} = b/T\) and the Stefan-Boltzmann total emissive power \(\sigma T^4\).

Usage

morie_plncF(lam, T, h = 6.62607015e-34, c = 299792458, kB = 1.380649e-23)

Arguments

lam

Wavelengths in metres, all strictly positive.

T

Temperature in kelvin, strictly positive.

h

Planck constant (SI-2019 exact value by default).

c

Speed of light in vacuum.

kB

Boltzmann constant.

Value

A list with estimate (radiances), peak_wavelength, wien_constant, total_power, T, method.

References

Rybicki, G. B. and Lightman, A. P. (1979). Radiative Processes in Astrophysics. Wiley, Sections 1.5-1.6.

Examples

morie_plncF(lam = c(1, 2, 3, 4, 5, 6, 7, 8), T = 5L)
#> $estimate
#> [1] 4.133129e-14 2.585065e-15 5.107527e-16 1.616247e-16 6.620625e-17
#> [6] 3.192970e-17 1.723545e-17 1.010336e-17
#> 
#> $peak_wavelength
#> [1] 0.0005795544
#> 
#> $wien_constant
#> [1] 0.002897772
#> 
#> $total_power
#> [1] 3.543984e-05
#> 
#> $T
#> [1] 5
#> 
#> $method
#> [1] "Planck spectral radiance, wavelength form B(lam,T) = 2hc^2/lam^5 / (exp(hc/lam kB T)-1)"
#>