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The effect of the ▿n2term on the modes of an optical square-law medium

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1 Author(s)
Marcuse, D. ; Bell Laboratories, Holmdel, NJ, USA

Solutions of the mode problem of an optical waveguide with a square-law medium are usually based on the scalar wave equation. An exact derivation of the wave equation from Maxwell's equations results in an additional term containing the gradientnablan^{2}of the square of the refractive indexn. It is the purpose of this correspondence to evaluate the change of the propagation constants of the modes of the square-law medium that is caused by thenablan^{2}term. We find that the change is significant only for TM modes of low order, but insignificant for all other modes of a dielectric slab with parabolic index distribution.

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Quantum Electronics, IEEE Journal of  (Volume:9 ,  Issue: 9 )