Steady-state response by finite-difference time-domain method and lanczos algorithm

Author

Huang, Ting-Yi ; Wu, Ruey-Beei

Author_Institution

Dept. of Electr. Eng. & Graduate Inst. of Commun. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

54

Issue

7

fYear

2006

fDate

7/1/2006 12:00:00 AM

Firstpage

3038

Lastpage

3044

Abstract

A hybrid method combining the finite-difference time-domain (FDTD) method and Lanczos algorithm is proposed for efficiently obtaining the steady-state response for closed systems. With the Lanczos algorithm, modes of the FDTD operator can be easily extracted to reconstruct the steady-state response at any time by an analytic formula. With the aid of the time-reversal technique, existing FDTD codes are preserved. Numerical results show that with only very few Lanczos iterations, results of good agreement can be achieved between the proposed method and brute-force FDTD.

Keywords

electromagnetic fields; finite difference time-domain analysis; iterative methods; FDTD codes; Lanczos algorithm; Lanczos iterations; finite-difference time-domain method; steady-state response; time-reversal technique; Algorithm design and analysis; Circuit simulation; Eigenvalues and eigenfunctions; Finite difference methods; Frequency domain analysis; Matrix converters; Sparse matrices; Steady-state; Time domain analysis; Time factors; Finite-difference time-domain (FDTD) method; Lanczos algorithm; model-order reduction;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2006.876987

Filename

1650444