WKB- and SVEA- approximative methods for slowly varying non-linear dielectric media

Groesen van, E. (1998) WKB- and SVEA- approximative methods for slowly varying non-linear dielectric media. Optical and quantum electronics, 1998 (30). pp. 467-474. ISSN 0306-8919

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Abstract:	For linear media of which the index of refraction changes slowly in the propagation direction, the WKB method is presented as a transformation that enables a simple approach towards higher order approximations. For homogeneous non-linear media the SVEA method considers small amplitude approximations that change slowly in spatial directions. For third order non-linear media with a slowly varying index of refraction, the combination of WKB and SVEA lead to a two-parameter problem; relating the amplitude in a specific way to the measure of the slow medium changes, transformations are given that lead to a NLS equation with slowly varying coefficients and even to NLS with constant coefficients.
Item Type:	Article
Copyright:	© 1998 Springer-Verlag
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Applied Analysis and Mathematical Physics (AAMP)
Link to this item:	http://purl.utwente.nl/publications/29811
Official URL:	http://dx.doi.org/10.1023/A:1006918314424
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