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arXiv · 1912.07792

Homotopy analysis method applied to second-order frequency mixing in nonlinear optical dielectric media

Nathan J. Dawson·Moussa Kounta
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Abstract

The classical problem of three-wave mixing in a nonlinear optical medium is investigated using the homotopy analysis method (HAM). We show that the power series basis builds a generic polynomial expression that can be used to study three-wave mixing for arbitrary input parameters. The phase-mismatched and perfectly phase matched cases are investigated. Parameters that result in generalized sum- and difference-frequency generation are studied using HAM with a power series basis and compared to an explicit finite-difference approximation. The convergence region is extended by increasing the auxiliary parameter.

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Nathan J. Dawson, Moussa Kounta. 2019-12-17. Homotopy analysis method applied to second-order frequency mixing in nonlinear optical dielectric media. https://doi.org/10.1142/s0218863519500334

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