TY - GEN
T1 - An Explicit Discontinuous Galerkin Time-Domain Scheme to Simulate Kerr Nonlinearity
AU - Sun, Ruitao
AU - Dong, Ming
AU - Chen, Liang
AU - Bagci, Hakan
N1 - KAUST Repository Item: Exported on 2023-09-11
PY - 2023/7/23
Y1 - 2023/7/23
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/694306
UR - https://ieeexplore.ieee.org/document/10238194/
U2 - 10.1109/usnc-ursi52151.2023.10238194
DO - 10.1109/usnc-ursi52151.2023.10238194
M3 - Conference contribution
BT - 2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (USNC-URSI)
PB - IEEE
ER -