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Journal of Modern Optics

Consistent Linearization for Quasi-probabilities

Franz X. Kärtner, Rüdiger Schack, Axel Schenzle

Published May 1, 1992• 9 citations
Publisher

Abstract

It is shown that naive linearization leads to different answers when applied to different quasi-probability distributions such as P W or Q. A consistent linearization scheme is developed and applied to the problem of sub-second-harmonic generation. In particular, it is shown that, in the Wigner representation, linearized equations contain no third-order derivatives. In the nonlinear regime, however, third-order derivatives can only be neglected if the nonlinearity is small.

DOI
10.1080/09500349214550951

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