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.

${\displaystyle F_{0,\lambda }=\frac{{\int }_0^{\lambda }{E}_{\lambda ,b}d\lambda }{{\int }_0^{\mathrm{\infty }}{E}_{\lambda ,b}d\lambda }=\frac{{\int }_0^{\lambda }{E}_{\lambda ,b}d\lambda }{\sigma T^4}={\int }_0^{\lambda T}\frac{E_{\lambda ,b}}{\sigma T^5}d(\lambda T)=f(\lambda T)}$

See also

• Spectral bands

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