An Explicit Discontinuous Galerkin Time-Domain Scheme to Simulate Kerr Nonlinearity

Research output: Chapter in Book/Report/Conference proceedingConference contribution


A discontinuous Galerkin time-domain (DGTD) method is formulated and implemented to analyze transient electromagnetic field interactions in a medium with Kerr nonlinearity. The (nonlinear) Maxwell equations in conservative form are discretized using a DG scheme that employs the Harten-Lax-van Leer numerical flux to facilitate the information exchange between discretization elements. A slope limiter is introduced into the DGTD method to prevent generation of non-physical oscillations in the solution and maintain the stability of the explicit time marching. Numerical examples, which demonstrate the applicability and the accuracy of the proposed method, are presented.
Original languageEnglish (US)
Title of host publication2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (USNC-URSI)
StatePublished - Jul 23 2023

Bibliographical note

KAUST Repository Item: Exported on 2023-09-11


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