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Scaling rules for multiphoton interband absorption in semiconductors

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Abstract

A quasi-dimensional analysis is presented for the N-photon interband absorption coefficients (KN) of direct-gap semiconductors. Regardless of the value of N, we show that

KN(e2c)NN-1P2N-3nNEg4N-5FN(NωEg),

where FN varies little over the relevant range of radiation frequencies. The dominant material dependence of KN is through the energy-gap factor; the N-photon coefficient decreases as Eg4N−5.

© 1984 Optical Society of America

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