The role of the nonlinear Schrödinger equation in nonlinear optics

Willy Dörfler,Guido Schneider,Christian Wieners,Michael Plum,Armin Lechleiter

doi:10.1007/978-3-0348-0113-3_5

The role of the nonlinear Schrödinger equation in nonlinear optics

Willy Dörfler, Guido Schneider + Show 3 more

https://doi.org/10.1007/978-3-0348-0113-3_5

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Publication Date: Jan 1, 2011

Citations: 4

Affiliation: Karlsruhe Institute of Technology, University of Stuttgart, École Polytechnique, French Institute for Research in Computer Science and Automation, Institut Polytechnique de Paris

#Nonlinear Schrodinger Equation #Slow Modulations In Time + Show 8 more

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Abstract

We explain the role of the Nonlinear Schrodinger (NLS) equation as an amplitude equation in nonlinear optics. The NLS equation is a universal amplitude equation which can be derived via multiple scaling analysis in order to describe slow modulations in time and space of the envelope of a spatially and temporarily oscillating wave packet. It turned out to be a very successful model in nonlinear optics. Here we explain its justification by approximation theorems and its role as amplitude equation in some problems of nonlinear optics.

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