Article

Multipole-accelerated capacitance computation for 3-D structures in a stratified dielectric medium using a closed-form Green's function

  1. Vikram Jandhyala†,
  2. Eric Michielssen‡,
  3. Raj Mittra§

Article first published online: 9 MAR 2007

DOI: 10.1002/mmce.4570050205

Issue

International Journal of Microwave and Millimeter‐Wave Computer‐Aided Engineering

International Journal of Microwave and Millimeter-Wave Computer-Aided Engineering

Volume 5, Issue 2, pages 68–78, March 1995

Additional Information

How to Cite

Jandhyala, V., Michielssen, E. and Mittra, R. (1995), Multipole-accelerated capacitance computation for 3-D structures in a stratified dielectric medium using a closed-form Green's function. Int. J. Microw. Mill.-Wave Comput.-Aided Eng., 5: 68–78. doi: 10.1002/mmce.4570050205

Author Information

  1. Electromagnetic Communication Laboratory, Department of Electrical and Computer Engineering, University of Illinois, Urbana, Illinois 61801

  1. †

    Vikram Jandhyala was born on January 4, 1972, in New Delhi, India. He received the BTech degree in electrical engineering from the Indian Institute of Technology, Delhi, in 1993. He is currently pursuing his graduate studies in the Department of Electrical and Computer Engineering at the University of Illinois, Urbana-Champaign. He has been a graduate research assistant in the Electromagnetics Communication Laboratory, University of Illinois, since 1993. His current research interests are in fast computational and signal processing techniques in electromagnetics.

  2. ‡

    Eric Michielssen received his MS in electrical engineering from the Katholieke Universiteit Leuven (KUL, Leuven, Belgium) in 1987. From 1987 to 1988, he was a research assistant in the Microwaves and Lasers Laboratory at KUL. In 1988, he was appointed Belgian American Educational Foundation fellow. He received the PhD in electrical engineering from the University of Illinois at Urbana-Champaign in 1992, where he joined the faculty shortly thereafter as a visiting assistant professor. He was appointed assistant professor of electrical and computer engineering in 1993. His research interests include all aspects of computational electromagnetics, fast algorithms, frequency selective surfaces, and the application of combinatorial stochastic optimization techniques to the design of electromagnetic and optical components.

  3. §

    Raj Mittra is the Director of the Electromagnetic Communication Laboratory of the Electrical and Computer Engineering Department and research professor of the Coordinated Science Laboratory at the University of Illinois. He is a fellow of the IEEE, a past-president of AP-S, and he has served as the editor of IEEE Transactions on Antennas and Propagation journal. He won the Guggenheim Fellowship Award in 1965 and the IEEE Centennial Medal in 1984. He has been a visiting professor at Oxford University, Oxford, England, and at the Technical University of Denmark, Lyngby, Denmark. Currently, he serves as the North American editor of the journal AEU. He is president of RM Associates, which is a consulting organization providing services to several industrial and governmental organizations, both in the U.S. and abroad. His professional interests include the areas of electromagnetic modeling and simulation of electronic packages, communication antenna design including GPS, broadband antennas, EMC analysis, radar scattering, frequency selective surfaces, microwave and millimeter-wave integrated circuits, and satellite antennas. He has published approximately 400 journal papers and 20 books or book chapters on various topics related to electromagnetics.

  1. †

    Vikram Jandhyala was born on January 4, 1972, in New Delhi, India. He received the BTech degree in electrical engineering from the Indian Institute of Technology, Delhi, in 1993. He is currently pursuing his graduate studies in the Department of Electrical and Computer Engineering at the University of Illinois, Urbana-Champaign. He has been a graduate research assistant in the Electromagnetics Communication Laboratory, University of Illinois, since 1993. His current research interests are in fast computational and signal processing techniques in electromagnetics.

  2. ‡

    Eric Michielssen received his MS in electrical engineering from the Katholieke Universiteit Leuven (KUL, Leuven, Belgium) in 1987. From 1987 to 1988, he was a research assistant in the Microwaves and Lasers Laboratory at KUL. In 1988, he was appointed Belgian American Educational Foundation fellow. He received the PhD in electrical engineering from the University of Illinois at Urbana-Champaign in 1992, where he joined the faculty shortly thereafter as a visiting assistant professor. He was appointed assistant professor of electrical and computer engineering in 1993. His research interests include all aspects of computational electromagnetics, fast algorithms, frequency selective surfaces, and the application of combinatorial stochastic optimization techniques to the design of electromagnetic and optical components.

  3. §

    Raj Mittra is the Director of the Electromagnetic Communication Laboratory of the Electrical and Computer Engineering Department and research professor of the Coordinated Science Laboratory at the University of Illinois. He is a fellow of the IEEE, a past-president of AP-S, and he has served as the editor of IEEE Transactions on Antennas and Propagation journal. He won the Guggenheim Fellowship Award in 1965 and the IEEE Centennial Medal in 1984. He has been a visiting professor at Oxford University, Oxford, England, and at the Technical University of Denmark, Lyngby, Denmark. Currently, he serves as the North American editor of the journal AEU. He is president of RM Associates, which is a consulting organization providing services to several industrial and governmental organizations, both in the U.S. and abroad. His professional interests include the areas of electromagnetic modeling and simulation of electronic packages, communication antenna design including GPS, broadband antennas, EMC analysis, radar scattering, frequency selective surfaces, microwave and millimeter-wave integrated circuits, and satellite antennas. He has published approximately 400 journal papers and 20 books or book chapters on various topics related to electromagnetics.

Publication History

  1. Issue published online: 9 MAR 2007
  2. Article first published online: 9 MAR 2007
  3. Manuscript Revised: 15 SEP 1994
  4. Manuscript Received: 20 JUN 1994

Funded by

  • Joint Services Electronics Program. Grant Number: N0014-90-5-1270

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Abstract

In this article, the capacitance matrices of three-dimensional conducting structures embedded in a stratified dielectric medium are computed by using the fast muitipole method in conjunction with a closed-form approximation of the appropriate Green's function. Image charges that result from the employment of this Green's function are incorporated into the fast multipole method. This technique is used to accelerate the iterative generalized minimal residual-based solution of the system of equations generated by the method of moments. This yields the charge distributions on the conductors and thereby the required capacitance matrix. It is shown that the use of this technique typically results in a speedup of more than an order of magnitude over iterative and direct methods without a compromise of the numerical accuracy.

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