3D Weakly Conditionally Stable FDTD Method for Analyzing Periodic Structures

Author

Jianbao Wang ; Bihua Zhou ; Bin Chen ; Cheng Gao ; Lihua Shi

Author_Institution

Nat. Key Lab. on Electromagn. Environ. Effects & Electro-Opt. Eng., PLA Univ. of Sci. & Technol., Nanjing, China

Volume

61

Issue

7

fYear

2013

fDate

7/1/2013 12:00:00 AM

Firstpage

3917

Lastpage

3921

Abstract

By dividing the 3D transformed Maxwell´s equations into two parts and applying the Crank-Nicolson (CN) scheme to each part, four substep implicit procedures are obtained. After adjusting the order of four substeps, a weakly conditionally stable finite-difference time-domain (WCSFDTD) method is derived for solving the 3D problems of oblique incident plane wave on periodic structures. This method is very suitable for analyzing the problems which have fine structures in one or two directions, and the Courant-Friedrich-Levy (CFL) stability condition of it is more relaxed than that of the original held transformation methods. Numerical examples demonstrate that the presented technology is more efficient, especially at the high incident angle.

Keywords

Maxwell equations; electromagnetic waves; finite difference time-domain analysis; periodic structures; stability; 3D transformed Maxwell equation; 3D weakly conditionally stable FDTD method; CFL; CN; Courant-Friedrich-Levy stability condition; Crank-Nicolson scheme; WCS; finite-difference time-domain method; oblique incident plane wave; original field transformation method; periodic structure analysis; substep implicit procedure; Finite-difference time-domain; oblique incident; periodic structures; weakly conditionally stable;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2013.2257651

Filename

6497523