Resolving the wave-vector and the refractive index from the coefficient of reflectance

Details Resolving the wave-vector and the refractive index from the coefficient of reflectance Resolving the wave-vector and the refractive index from the coefficient of reflectance

2007-10-24

arxiv.org/abs/0710.4388v1

Optics Letters 32, 2939 (2007); Optics Letters 32, 3345 (2007)

Physics

Optics

6 pages, 4 figures

Scientific paper

10.1364/OL.32.002939

We resolve the existing controversy concerning the selection of the sign of the normal-to-the-interface component of the wave-vector $k_z$ of an electromagnetic wave in an active (gain) medium. Our method exploits the fact that no ambiguity exists in the case of a {\em film} of the active medium since its coefficient of reflectance is invariant under the inversion of the sign of $k_z$. Then we show that the limit of the infinite film thickness determines a unique and physically consistent choice of the wave-vector and the refractive index. Practically important implications of the theory are identified and discussed.

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