A uni-directional optical pulse propagation equation for materials with both electric and magnetic responses

Details A uni-directional optical pulse propagation equation for materials with both electric and magnetic responses A uni-directional optical pulse propagation equation for materials with both electric and magnetic responses

2009-09-18

arxiv.org/abs/0909.3407v2

Phys. Rev. A81, 023808 (2010)

Physics

Optics

v2 as published in Phys. Rev. A, but has extra appendix

Scientific paper

10.1103/PhysRevA.81.023808

I derive unidirectional wave equations for fields propagating in materials with both electric and magnetic dispersion and nonlinearity. The derivation imposes no conditions on the pulse profile except that the material modulates the propagation slowly, that is, that loss, dispersion, and nonlinearity have only a small effect over the scale of a wavelength. It also allows a direct term-to-term comparison of the exact bidirectional theory with its approximate unidirectional counterpart.

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