Efficient Analysis of Geometrical Uncertainty in the FDTD Method Using Polynomial Chaos With Application to Microwave Circuits

被引:91
作者
Austin, Andrew C. M. [1 ]
Sarris, Costas D. [1 ]
机构
[1] Univ Toronto, Dept Elect & Comp Engn, Toronto, ON M5S 3G4, Canada
关键词
Finite difference time domain (FDTD); microwave circuit modeling; statistical modeling; stochastic analysis; uncertainty;
D O I
10.1109/TMTT.2013.2281777
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
080906 [电磁信息功能材料与结构]; 082806 [农业信息与电气工程];
摘要
A novel finite-difference time-domain ( FDTD)-based method is developed to analyze 3-Dmicrowave circuits with uncertain parameters, such as variability and tolerances in the physical dimensions and geometry introduced by manufacturing processes. The proposed method incorporates geometrical variation into the FDTD algorithm by appropriately parameterizing and distorting the rectilinear and curvilinear computational lattices. Generalized polynomial chaos is used to expand the time-domain electric and magnetic fields in terms of orthogonal polynomial chaos basis functions of the uncertain mesh parameters. The technique is validated by modeling several microstrip circuits with uncertain physical dimensions and geometry. The computed -parameters are compared against Monte Carlo simulations, and good agreement for the statistics is observed over 0-25 GHz. A considerable computational advantage over the Monte Carlo method is also achieved.
引用
收藏
页码:4293 / 4301
页数:9
相关论文
共 27 条
[1]
[Anonymous], IEEE T ELEC IN PRESS
[2]
[Anonymous], THESIS U YORK YORK
[3]
[Anonymous], 2010, SCI COMPUT
[4]
[Anonymous], IEEE MTT S INT MICR
[5]
[Anonymous], 2001, Microstrip Antenna Design Handbook
[6]
[Anonymous], IEEE T ANTE IN PRESS
[7]
[Anonymous], THESIS U KENTUCKY LE
[8]
Austin ACM, 2013, IEEE MTT S INT MICR
[9]
A Fast Stroud-Based Collocation Method for Statistically Characterizing EMI/EMC Phenomena on Complex Platforms [J].
Bagci, Hakan ;
Yucel, Abdulkadir C. ;
Hesthaven, Jan S. ;
Michielssen, Eric .
IEEE TRANSACTIONS ON ELECTROMAGNETIC COMPATIBILITY, 2009, 51 (02) :301-311
[10]
Computational modeling of uncertainty in time-domain electromagnetics [J].
Chauviere, C. ;
Hesthaven, J. S. ;
Lurati, L. .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2006, 28 (02) :751-775