Physics:Band emission

Band emission, is the fraction of the total emission from a blackbody that is in a certain wavelength interval or band. For a prescribed temperature, T and the spectral interval from 0 to λ, is the ratio of the total emissive power of a black body from 0 to λ to the total emissive power over the entire spectrum.

$F_{0,\lambda }=\frac{\underset{0}{\overset{\lambda }{\int }}{E}_{\lambda ,b}d\lambda }{\underset{0}{\overset{\mathrm{\infty }}{\int }}{E}_{\lambda ,b}d\lambda }=\frac{\underset{0}{\overset{\lambda }{\int }}{E}_{\lambda ,b}d\lambda }{\sigma T^4}=\underset{0}{\overset{\lambda T}{\int }}\frac{E_{\lambda ,b}}{\sigma T^5}d(\lambda T)=f(\lambda T)$

See also

• Spectral bands