Novel approach to nonlinear susceptibility

A newly developed expansion technique is used on the density operator in quantum optics. It is shown how an expectation value of order n can be written in terms of the (n-2) order. From this, a simple formulation of high order nonlinear susceptibilities is presented and some examples are given.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEJun 1, 19910 citations

Novel approach to nonlinear susceptibility

Odile Betbeder-Matibet, Kikuo Cho, Hiroshi Ajiki

Published Nov 17, 2003• 0 citations

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Novel approach to nonlinear susceptibility

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High-order nonlinear susceptibilities

Richard T. Hammond

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEJun 1, 19910 citations

N

-body problems, not just 2-body problems like third order nonlinear susceptibility

χ^{(3)}

, the necessary handling of these two infinite series makes this approach far more complicated than the one we have developed and which barely relies on just four commutators.

N

-body problems, not just two-body problems like third-order nonlinear susceptibility ${\ensuremath{\chi}}^{(3)}$, the necessary handling of these two infinite series makes this approach far more complicated than the one we have developed and which barely relies on just four commutators.