A 3D Nonlinear Maxwell's Equations Solver Based On A Hybrid Numerical Method

Autor:	Lin, Aihua, Jakobsen, Per Kristen
Rok vydání:	2018
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
DOI:	10.1088/1402-4896/ab166d
Popis:	In this paper we explore the possibility for solving the 3D Maxwell's equations in the presence of nonlinear and/or inhomogeneous material response. We propose using a hybrid approach which combines a bound- ary integral representation with a domain-based method. This hybrid approach has previously been successfully applied to 1D linear and non- linear transient wave scattering problems. The basic idea of the approach is to propagate the Maxwell's equations inside the scattering objects for- ward in time by using a domain-based method, while a boundary integral representation of the electromagnetic field is used to supply the domain- based method with the required surface values. Thus no grids outside the scattering objects are needed and this greatly reduces the computational cost and complexity. Comment: 23 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.12221 Zobrazit plný text záznamu View this record from Arxiv