A Simple Approximation Formula for Numerical Dispersion Error in 2-D and 3-D FDTD Method

被引：1

作者：

Sonoda, Jun ^{[1
]}

Kaino, Keimei ^{[2
]}

Sato, Motoyuki ^{[3
]}

机构：

[1] Sendai Coll, Natl Inst Technol, Dept Intelligent & Elect Syst, Sendai, Miyagi 9893128, Japan

[2] Sendai Coll, Natl Inst Technol, Dept Informat Syst, Sendai, Miyagi 9893128, Japan

[3] Tohoku Univ, Ctr Northeast Asian Studies, Sendai, Miyagi 9808576, Japan

来源：

IEICE TRANSACTIONS ON ELECTRONICS | 2016年 / E99C卷 / 07期

关键词：

FDTD method; numerical dispersion error; simple formula; dispersion relation equation; large scale analysis; FINITE-DIFFERENCE; EQUATIONS; ACCURACY;

D O I：

10.1587/transele.E99.C.793

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The finite-difference time-domain (FDTD) method has been widely used in recent years to analyze the propagation and scattering of electromagnetic waves. Because the FDTD method has second-order accuracy in space, its numerical dispersion error arises from truncated high-erorder terms of the Taylor expansion. This error increases with the propagation distance in cases of large-scale analysis. The numerical dispersion error is expressed by a dispersion relation equation. It is difficult to solve this nonlinear equation which have many parameters. Consequently, a simple formula is necessary to substitute for the dispersion relation error. In this study, we have obtained a simple formula for the numerical dispersion error of 2-D and 3-D FDTD method in free space propagation.

引用

页码：793 / 796

页数：4

共 12 条

[1] Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, part 2: Applications [J].

Georgakopoulos, SV ;

Birtcher, CR ;

Balanis, CA ;

Renaut, RA .

IEEE ANTENNAS AND PROPAGATION MAGAZINE, 2002, 44 (02) :92-101

[2] A modified FDTD (2,4) scheme for modeling electrically large structures with high-phase accuracy [J].

Hadi, MF ;

PiketMay, M .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1997, 45 (02) :254-264

[3]

Kantartzis N. V., 2006, HIGHER ORDER FDTD SC, V1, P1

[4] ABSORBING BOUNDARY-CONDITIONS FOR THE FINITE-DIFFERENCE APPROXIMATION OF THE TIME-DOMAIN ELECTROMAGNETIC-FIELD EQUATIONS [J].

MUR, G .

IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 1981, 23 (04) :377-382

[5] PHASE ERROR CONTROL FOR FD TD METHODS OF 2ND AND 4TH-ORDER ACCURACY [J].

PETROPOULOS, PG .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1994, 42 (06) :859-862

[6] Comparison of the dispersion properties of several low-dispersion finite-difference time-domain algorithms [J].

Shlager, KL ;

Schneider, JB .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2003, 51 (03) :642-653

[7]

Smith GS., 1997, An introduction to classical electromagnetic radiation

[8] Optimized finite-difference time-domain methods based on the (2,4) stencil [J].

Sun, GL ;

Trueman, CW .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2005, 53 (03) :832-842

[9]

Taflove A., 1995, COMPUTATIONAL ELECTR

[10]

Taflove A., 1998, ADV COMPUTATIONAL EL

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