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McCumber relation : ウィキペディア英語版
McCumber relation

The McCumber relation (or McCumber theory) refers to the effective cross-sections of absorption and emission of light in the physics of solid-state lasers
.〔D.E.McCumber. Einstein relations connecting broadband emission and absorption spectra. PRB 136 (4A), 954–957 (1964)
〕〔P.C.Becker, N.A.Olson, J.R.Simpson. ''Erbium-doped fiber amplifiers: fundamentals and theory'' (Academic, 1999).

==Definition==
Let \sigma_(\omega) be the effective absorption cross-section \sigma_(\omega) be effective emission cross-sections at frequency \omega, and let ~T~ be the effective temperature of the medium. The McCumber relation is
:(1) \frac\exp\!\left( \frac\right)
=\left(\frac\right)_T
=\exp\!\left( \frac T}\right)
where \left(\frac\right)_T
is thermal steady-state ratio of populations; frequency \omega_ is called "zero-line" frequency;〔
〕〔 〕
\hbar is the Planck constant and
k_ is the Boltzmann constant. Note that the right-hand side of Equation (1) does not depend on ~\omega~.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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