The Schrödinger approximation for the Helmholtz equation if the refractive index is a step function

DOI10.1016/j.wavemoti.2022.102891OpenAlexW4210586651MaRDI QIDQ2124136

Maximilian Klumpp, Guido Schneider

Publication date: 14 April 2022

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2022.102891

zbMATH Keywords

error estimatesnonlinear opticsmultiple scaling

Mathematics Subject Classification ID

Partial differential equations (35-XX) Optics, electromagnetic theory (78-XX)

Cites Work

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• Justification and failure of the nonlinear Schrödinger equation in case of non-trivial quadratic resonances
• ASYMPTOTIC DECAY OF A ONE-DIMENSIONAL WAVE PACKET IN A NONLINEAR DISPERSIVE MEDIUM
• The validity of modulation equations for extended systems with cubic nonlinearities
• Nonlinear PDEs

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