Choice of the Scaling Factor in a Marching-on-in-Degree Time Domain Technique Based on the Associated Laguerre Functions

被引:22
|
作者
Mei, Zicong [1 ]
Zhang, Yu [2 ]
Zhao, Xunwang [2 ]
Jung, Baek Ho [3 ]
Sarkar, Tapan K. [1 ]
Salazar-Palma, Magdalena [4 ]
机构
[1] Syracuse Univ, Dept Elect Engn & Comp Sci, Syracuse, NY 13244 USA
[2] Xidian Univ, Sch Elect & Engn, Xian 710071, Peoples R China
[3] Hoseo Univ, Dept Informat & Commun Engn, Chungnam 336795, South Korea
[4] Univ Carlos III Madrid, Dept Teoria Senal & Commun, Madrid 28911, Spain
基金
美国国家科学基金会;
关键词
Laguerre polynomial; marching-on-in-degree; scaling factor; time domain method of moment; FIELD INTEGRAL-EQUATION; POLYNOMIALS;
D O I
10.1109/TAP.2012.2207066
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 marching-on-in-degree time domain method of moment, the transient responses are often expanded by a finite number of associated Laguerre functions. There is an error associated in truncating the associated Laguerre function series beyond that what is necessary in the solution process. This error is related to the scaling factor used in the argument of the associated Laguerre functions that actually approximates the unknown temporal variations. A least upper bound of this error is deduced. Based on this bound, one can obtain an optimum scaling factor to minimize this error so that it is guaranteed to be below a certain bound.
引用
收藏
页码:4463 / 4467
页数:6
相关论文
共 38 条
  • [1] Time domain marching-on-in-degree method for the conducting objects with loading
    Mei, Zicong
    Zhang, Yu
    Sarkar, Tapan K.
    [J]. 2010 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM, 2010,
  • [2] Discontinuous Galerkin Time-Domain Method Based on Marching-on-in-Degree Scheme
    Shi, Yan
    Tian, Chang-Yi
    Liang, Chang-Hong
    [J]. IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 2017, 16 : 250 - 253
  • [3] Improvements in the marching-on-in-degree method for time domain integral equations
    Mei, Zicong
    Zhang, Yu
    Sarkar, Tapan K.
    [J]. 2011 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (APSURSI), 2011, : 2350 - 2353
  • [4] A TIME-DOMAIN EQUIVALENCE PRINCIPLE AND ITS MARCHING-ON-IN-DEGREE SOLUTION
    Shi, Yan
    Wang, Jin
    Liang, Chang-Hong
    [J]. MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2014, 56 (10) : 2415 - 2422
  • [5] TIME-DOMAIN AUGMENTED EFIE AND ITS MARCHING-ON-IN-DEGREE SOLUTION
    Shi, Yan
    Jin, Jian-Ming
    [J]. MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2011, 53 (06) : 1439 - 1444
  • [6] GPU-accelerated time-domain marching-on-in-degree solution
    Shi, Y.
    Jin, J. M.
    [J]. ELECTRONICS LETTERS, 2013, 49 (06) : 393 - 394
  • [7] Efficient Generation of Aggregative Basis Functions in the Marching-on-in-Degree Time-Domain Integral Equation Solver
    Wang, Quan-Quan
    Liu, Zhi-Wei
    Shi, Yi-Fei
    Zhang, Huan-Huan
    Chen, Ru-Shan
    [J]. ELECTROMAGNETICS, 2013, 33 (05) : 370 - 378
  • [8] TRANSIENT WAVE PROPAGATION IN A GENERAL DISPERSIVE MEDIA USING THE LAGUERRE FUNCTIONS IN A MARCHING-ON-IN-DEGREE (MOD) METHODOLOGY
    Jung, B. H.
    Mei, Z.
    Sarkar, T. K.
    [J]. PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2011, 118 : 135 - 149
  • [9] A Stabilized Marching-on-in-Degree Solution of Time Domain Combined Field Integral Equation
    Zhu, Ming-Da
    Sarkar, Tapan K.
    Zhang, Yu
    [J]. 2019 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION AND USNC-URSI RADIO SCIENCE MEETING, 2019, : 181 - 182
  • [10] Marching-on-in-degree based time-domain magnetic field integral equation method for bodies of revolution
    Yu, Wenming
    Fang, Dagang
    Zhou, Chen
    [J]. IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2007, 17 (12) : 813 - 815