A Floating Random-Walk Solution for the Transverse Magnetic Electromagnetic Problem: A Homogeneous Benchmark

Abstract

In this paper, we present the floating random-walk solution of a transverse magnetic electromagnetic problem. In a previous work, we have developed a floating random-walk algorithm suited to the solution of Maxwell-Helmhotz's equations in heterogeneous problem domains. The task of developing an approximate expression for the finite-domain Green's function for Helmhotz's equations in heterogeneous problem domains had been accomplished with the help of a novel use of iterative perturbation theory. We had applied the algorithm to the skin-effect and transverse electric electromagnetic problems in both homogeneous and heterogeneous problem domains. In this work, we extend this algorithm to a transverse magnetic electromagnetic problem and present the preliminary results for a homogeneous benchmark. We believe that with additional development this algorithm will be useful for the electromagnetic analysis of IC interconnects at high frequencies.

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Document Details

Document Type
Technical Report
Publication Date
Apr 23, 2004
Accession Number
ADA438846

Entities

People

  • Korok Chatterjee
  • P. Matos
  • Y. L. Le Coz

Organizations

  • California State University, Fresno

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Differential Equations
  • Electric Fields
  • Electromagnetic Fields
  • Electromagnetic Properties
  • Engineering
  • Equations
  • Frequency
  • Helmholtz Equations
  • Magnetic Fields
  • Perturbation Theory
  • Perturbations
  • Probability
  • Random Walk
  • Semiconductor Devices
  • Transverse

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics.