Band emission

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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 {\int _{0}^{\lambda }E_{{\lambda ,b}}d\lambda }{\int _{0}^{\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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