Associated Hermite FDTD Applied in Frequency Dependent Dispersive Materials

Author

Zheng-Yu Huang ; Li-Hua Shi ; Ying-Hui Zhou ; Bin Chen

Author_Institution

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

Volume

25

Issue

2

fYear

2015

fDate

Feb. 2015

Firstpage

73

Lastpage

75

Abstract

An unconditionally stable frequency-dependent FDTD formulation for non-magnetized materials is developed using Associated Hermite (AH) expansion in this letter. By introducing orthogonal AH transform, the complex dielectric constant is transformed into AH domain and represented as a matrix form, and then incorporated into a set of implicit equations to calculate the expansion coefficients of electromagnetic fields. Numerical example shows that the result of the new algorithm is in consistent with the theoretical results.

Keywords

finite difference time-domain analysis; associated Hermite FDTD; complex dielectric constant; electromagnetic fields; frequency dependent dispersive materials; magnetized materials; matrix form; orthogonal AH transform; stable frequency dependent FDTD formulation; Dispersion; Finite difference methods; Materials; Mathematical model; Time-domain analysis; Time-frequency analysis; Associated Hermite (AH) expansion; electromagnetic field; finite-difference time-domain (FDTD) method; frequency-dependent; unconditionally stability;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2014.2382660

Filename

7012119