Unconditionally stable ADI-BOR-FDTD algorithm for the analysis of rotationally symmetric geometries

被引：28

作者：

Chen, Hai-Lin ^{[1
]}

Chen, Bin

Yi, Yun

Fang, Da-Gang

机构：

[1] Nanjing Engn Inst, Electromagnet Lab, Nanjing 210007, Peoples R China

[2] Nanjing Univ Sci & Technol, Nanjing 210094, Peoples R China

来源：

IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS | 2007年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

alternating-direction-implicit (ADI) method; body of revolution; finite-difference time-domain (FDTD); unconditional stability; DIFFRACTIVE OPTICAL-ELEMENTS; TIME-DOMAIN METHOD;

D O I：

10.1109/LMWC.2007.892991

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：

In this letter, the alternating-direction-implicit (ADI) technique is applied to the body of revolution finite-difference time-domain (BOR-FDTD) method, resulting in an unconditionally stable ADI-BOR-FDTD. It inherits the advantages of both ADI-FDTD and BOR-FDTD methods, i.e., not only eliminating the restraint of the Courant-Friedrich-Lecy condition, with an efficient saving of CPU running time, but also leading to a significant memory reduction in the storage of the field components. To overcome the singularity, a special treatment is made along the vertical axis of the cylindrical coordinates. Numerical results are presented to demonstrate the effectiveness of the proposed algorithm.

引用

页码：304 / 306

页数：3

共 12 条

[1] Finite-difference time-domain algorithm for solving Maxwell's equations in rotationally symmetric geometries [J].

Chen, YC ;

Mittra, R ;

Harms, P .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1996, 44 (06) :832-839

[2]

DAVIS AM, 1994, IEEE SOFTWARE, V11, P4

[3] A new FDTD algorithm based on alternating-direction implicit method [J].

Namiki, T .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1999, 47 (10) :2003-2007

[4]

Pozar, 1990, MICROWAVE ENG READIN

[5] Formulation and application of the finite-difference time-domain method for the analysis of axially symmetric diffractive optical elements [J].

Prather, DW ;

Shi, SY .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1999, 16 (05) :1131-1142

[6] Electromagnetic analysis of axially symmetric diffractive optical elements illuminated by oblique incident plane waves [J].

Shi, SY ;

Prather, DW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2001, 18 (11) :2901-2907

[7]

Taflove A., 2000, Computational Electrodynamics: The Finite-Difference Time-Domain Method

[8] ACCURATE DETERMINATION OF MODES IN DIELECTRIC-LOADED CYLINDRICAL CAVITIES USING A ONE-DIMENSIONAL FINITE-ELEMENT METHOD [J].

TAHERI, MM ;

MIRSHEKARSYAHKAL, D .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1989, 37 (10) :1536-1541

[9]

Yu WH, 2000, IEEE T ANTENN PROPAG, V48, P1810, DOI 10.1109/8.901269

[10] A three-dimensional unconditionally stable ADI-FDTD method in the cylindrical coordinate system [J].

Yuan, CH ;

Chen, ZH .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2002, 50 (10) :2401-2405

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