In this chapter we present a quick, informal derivation of the nonlinear Schrödinger equation (NLS) as the leading-order model for propagation of intense laser beams in an isotropic bulk medium. During the derivation, we introduce some terminology from linear and nonlinear optics, such as linear polarization, the paraxial approximation, and a Kerr nonlinearity.
CITATION STYLE
Fibich, G. (2015). Derivation of the NLS. In Applied Mathematical Sciences (Switzerland) (Vol. 192, pp. 3–18). Springer. https://doi.org/10.1007/978-3-319-12748-4_1
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