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arXiv · 0810.5689

Optical pulse propagation with minimal approximations

Paul Kinsler
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Abstract

Propagation equations for optical pulses are needed to assist in describing applications in ever more extreme situations -- including those in metamaterials with linear and nonlinear magnetic responses. Here I show how to derive a single first order propagation equation using a minimum of approximations and a straightforward "factorization" mathematical scheme. The approach generates exact coupled bi-directional equations, after which it is clear that the description can be reduced to a single uni-directional first order wave equation by means of a simple "slow evolution" approximation, where the optical pulse changes little over the distance of one wavelength. It also also allows a direct term-to-term comparison of an exact bi-directional theory with the approximate uni-directional theory.

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Paul Kinsler. 2008-10-31. Optical pulse propagation with minimal approximations. https://doi.org/10.1103/physreva.81.013819]

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