1 July 1997 Asymptotic approximation and first-order correction of coupled-wave equations
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Optical Engineering, 36(7), (1997). doi:10.1117/1.601399
Abstract
A reformulation of the asymptotic solution of the coupledmode equations with a periodic variation of the refractive index along the propagation length is presented. A first-order correction using the asymptotic solution and Piccard’s method are also determined. It is found that the first-order solution compares very well with the numerical solution throughout a wide range of coupling parameters. The key differences between the method presented here and elsewhere reside in the derivation of the asymptotic solution as well as in the carefull derivation of the higher order corrections.
Claudio Oliveira Egalon, A. Martin Buoncristiani, Robert S. Rogowski, "Asymptotic approximation and first-order correction of coupled-wave equations," Optical Engineering 36(7), (1 July 1997). http://dx.doi.org/10.1117/1.601399
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KEYWORDS
Numerical analysis

Differential equations

Refractive index

Fiber Bragg gratings

Optical engineering

Optical fibers

Physics

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