An explicit fourth-order orthogonal curvilinear staggered-grid FDTD method for Maxwell's equations

Authors:
Zhongqiang Xie;Chi-Hou Chan;Bo Zhang
Affiliations:
School of Mathematical and Information Sciences, Coventry University, Coventry CV1 5FB, United Kingdom;Department of Electronic Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;School of Mathematical and Information Sciences, Coventry University, Coventry CV1 5FB, United Kingdom and Department of Electronic Engineering, City
Venue:
Journal of Computational Physics
Year:
2002

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Abstract

The explicit fourth-order staggered finite-difference time-domain scheme, previously proposed for a Cartesian grid, is extended to Maxwell's equations in an orthogonal curvilinear coordinate system and applied to electromagnetic wave problems. A simple technique is also presented for generating orthogonal curvilinear grids that conform to the material boundaries and interfaces of the problem. Numerical experiments are presented to illustrate the efficiency and accuracy of the method.