Transverse limits on the uni-directional pulse propagation approximation

Details Transverse limits on the uni-directional pulse propagation approximation Transverse limits on the uni-directional pulse propagation approximation

2008-10-31

arxiv.org/abs/0810.5701v2

Physics

Optics

Scientific paper

I calculate the limitations on the widely-used forward-only (uni-directional) propagation assumption by considering the effects of transverse effects (e.g. diffraction). The starting point is the scalar second order wave equation, and simple predictions are made which aim to clarify the forward-backward coupling limits on diffraction strength. The result is unsurprising, being based on the ratio of transverse and total wave vectors, but the intent is to present a derivation directly comparable to a recently published \emph{nonlinearity} constrained limits on the uni-directional approximation [Kinsler, J. Opt. Soc. Am. B (2007)].

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