Rapid calculation of electrostatic Green's functions in layered dielectrics

Research output: Contribution to journalConference articlepeer-review


This paper introduces a new method for the development of closed-form spatial Green's functions for electrostatic problems involving layered dielectrics. The new method utilizes a finite-difference approximation of the spectral domain form of the Green's function to overcome the tedious numerical integration of the Fourier-Bessel inverse transform that is required to generate the Green's function in the space domain. Through a special representation of the finite-difference form of the spectral Green's function, the Fourier-Bessel transforms can be obtained in closed form in terms of modified Bessel functions of zeroth order. Numerical examples from the calculation of the capacitance matrix of multi-conductor systems in layered dielectrics are used to demonstrate the validity of the generated closed-form Green's functions and their computer implementation.

Original languageEnglish (US)
Pages (from-to)3133-3136
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number5 I
StatePublished - Sep 2001
EventNinth Biennial Electromagnetic Field Computation (CEFC) - Milwaukee, WI, United States
Duration: Jun 4 2001Jun 7 2001


  • Capacitance
  • Green's function
  • Interconnects
  • Layered media

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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