Solution of the general helmholtz equation in homogeneously filled waveguides using a static green's function

Mahesh Balagangadhar, Tapan K. Sarkar

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

The new boundary-integral method used in this paper illustrates a novel approach to solve the general Helmholtz equation in homogeneously filled waveguides. Based on the method-of-moments Laplacian solution, the main feature of this formulation is that the Helmholtz equation is "reduced" to the Poisson's equation, which is then solved by using a static Green's function. In other words, the Green's function used in this method is frequency independent, unlike the most conventionally used Hankel functions. Hence, the computational time, while analyzing the waveguide over a range of different frequencies, is reduced considerably compared to other well-known numerical methods, since the frequency term just appears as a scaling factor in the evaluation of matrix elements. The numerical results obtained using the present method compare well with actual results (in the case of rectangular waveguides) and published results (in the case of L-shaped and single-ridge waveguides).

Original languageEnglish (US)
Pages (from-to)302-307
Number of pages6
JournalIEEE Transactions on Microwave Theory and Techniques
Volume46
Issue number3
DOIs
StatePublished - Jan 1 1998

Keywords

  • Green's function
  • Helmholtz equation
  • Waveguide

ASJC Scopus subject areas

  • Radiation
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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