Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, part I: Theory

被引：73

作者：

Georgakopoulos, SV ^{[1
]}

Birtcher, CR

Balanis, CA

Renaut, RA

机构：

[1] Arizona State Univ, Dept Elect Engn, Telecommun Res Lab, Tempe, AZ 85287 USA

[2] Arizona State Univ, Dept Math, Tempe, AZ 85287 USA

来源：

IEEE ANTENNAS AND PROPAGATION MAGAZINE | 2002年 / 44卷 / 01期

基金：

美国国家航空航天局;

关键词：

FDTD methods; electromagnetic radiation; electromagnetic scattering; numerical stability;

D O I：

10.1109/74.997945

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：

Higher-order schemes for the Finite-Difference Time-Domain (FDTD) Method are presented, in particular, a second-order-in-time, fourth-order-in-space method: FDTD(2,4). This method is compared to the original Yee FDTD scheme. One-dimensional update equations are presented, and the characteristics of the FDTD(2,4) scheme are investigated. Theoretical results for numerical stability and dispersion are presented, with numerical results for the latter, as well. The use of the perfectly matched layer for the FDTD(2,4) scheme is discussed, and numerical results are shown. Applications follow in the second part of this two-part paper.

引用

页码：134 / 142

页数：9

共 37 条

[1] Strict stability of high-order compact implicit finite-difference schemes: The role of boundary conditions for hyperbolic PDEs, II [J].

Abarbanel, SS ;

Chertock, AE ;

Yefet, A .

JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 160 (01) :67-87

[2] Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I [J].

Abarbanel, Saul S. ;

Chertock, Alina E. .

Journal of Computational Physics, 2000, 160 (01) :42-66

[3] A PERFECTLY MATCHED LAYER FOR THE ABSORPTION OF ELECTROMAGNETIC-WAVES [J].

BERENGER, JP .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 114 (02) :185-200

[4] ON THE ACCURACY OF NUMERICAL WAVE SIMULATIONS BASED ON FINITE METHODS [J].

CANGELLARIS, AC ;

LEE, R .

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 1992, 6 (12) :1635-1653

[5] TIME-STABLE BOUNDARY-CONDITIONS FOR FINITE-DIFFERENCE SCHEMES SOLVING HYPERBOLIC SYSTEMS - METHODOLOGY AND APPLICATION TO HIGH-ORDER COMPACT SCHEMES [J].

CARPENTER, MH ;

GOTTLIEB, D ;

ABARBANEL, S .

JOURNAL OF COMPUTATIONAL PHYSICS, 1994, 111 (02) :220-236

[6] THE STABILITY OF NUMERICAL BOUNDARY TREATMENTS FOR COMPACT HIGH-ORDER FINITE-DIFFERENCE SCHEMES [J].

CARPENTER, MH ;

GOTTLIEB, D ;

ABARBANEL, S .

JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 108 (02) :272-295

[7] SUPPRESSION OF DISPERSION IN FDTD SOLUTIONS OF MAXWELL EQUATIONS [J].

CASTILLO, S ;

OMICK, S .

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 1994, 8 (9-10) :1193-1221

[8]

FANG J, 1989, THESIS U CALIFORNIA

[9] Optimized compact-difference-based finite-volume schemes for linear wave phenomena [J].

Gaitonde, D ;

Shang, JS .

JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 138 (02) :617-643

[10] An anisotropic perfectly matched layer-absorbing medium for the truncation of FDTD lattices [J].

Gedney, SD .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1996, 44 (12) :1630-1639

← 1 2 3 4 →