Rigorous Envelope Approximation for Interface Wave Packets in Maxwell’s Equations with Two Dimensional Localization

DOI10.1137/22m1501611zbMath1528.35182arXiv2206.03154OpenAlexW4388421159MaRDI QIDQ6090026

Roland Schnaubelt, Daniel P. Tietz, Tomáš Dohnal

Publication date: 13 November 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.03154

zbMATH Keywords

interfaceMaxwell's equationsquasilinearKerr nonlinearityenvelope approximationtraveling pulse

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Traveling wave solutions (35C07) Maxwell equations (35Q61)

Related Items

Well-posedness and exponential stability of nonlinear Maxwell equations for dispersive materials with interface

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