The concurrent complementary operators method for FDTD mesh truncation

Author

Ramahi, Omar M.

Author_Institution

Compaq Comput. Corp., Maynard, MA, USA

Volume

46

Issue

10

fYear

1998

fDate

10/1/1998 12:00:00 AM

Firstpage

1475

Lastpage

1482

Abstract

The complementary operators were developed for the purpose of truncating the computational domain of finite-difference time-domain (FDTD) open-region simulations. In the original implementation of the complementary operators method, two independent simulations were performed. The solutions from these two simulations were then averaged to obtain a solution devoid of first-order reflections. The complementary operators are implemented in a concurrent fashion. This new implementation, referred to as the concurrent complementary operators method (C-COM), requires only one simulation, thus reducing the operation count by approximately one half. The implementation for two-dimensional (2-D) space is outlined first with emphasis on reducing reflections from corner regions; then the extension to three dimensions is developed. Numerical results are provided in addition to an analysis of the source of error that arises from this new implementation

Keywords

digital simulation; electromagnetic wave reflection; error analysis; finite difference time-domain analysis; mathematical operators; 2D space; 3D space; FDTD mesh truncation; computational domain; concurrent complementary operators method; corner regions; error source; finite-difference time-domain; open-region simulations; operation count reduction; reflections; two-dimensional space; Boundary conditions; Computational modeling; Finite difference methods; Helium; Optical propagation; Optical reflection; Stability; Time domain analysis; Two dimensional displays;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.725279

Filename

725279