APPLICATIONS OF RIEMANN-HILBERT PROBLEM TECHNIQUES TO ELECTROMAGNETIC COUPLING THROUGH APERTURES.

Richard W Ziolkowski, William A. Johnson, Kendall F. Casey

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

The generalized dual series approach, as it is applied to the mixed boundary value problems that characterize the coupling of electromagnetic energy through apertures, is described. This approach is based upon techniques borrowed from the analysis of the Riemann-Hilbert problem of complex variable theory. It allows one to obtain essentially analytical solutions to families of canonical coupling problems in separable geometries. The generalized dual series approach is illustrated with the example of the coupling of an H-polarized plane wave to a perfectly conducting infinite cylinder with an infinite axial slot enclosing a concentric impedance cylinder. This problem encompasses the coupling to an empty cylinder as well as to a cylinder enclosing a conducting wire or cable.

Original languageEnglish (US)
Pages (from-to)1425-1431
Number of pages7
JournalRadio Science
Volume19
Issue number6
StatePublished - Nov 1984
Externally publishedYes

Fingerprint

Electromagnetic coupling
electromagnetic coupling
Electromagnetic waves
Boundary value problems
Cables
apertures
Wire
Geometry
conduction
complex variables
slots
cable
boundary value problems
cables
plane waves
wire
impedance
electromagnetism
geometry
energy

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Atmospheric Science
  • Computers in Earth Sciences
  • Geochemistry and Petrology
  • Geophysics
  • Instrumentation

Cite this

APPLICATIONS OF RIEMANN-HILBERT PROBLEM TECHNIQUES TO ELECTROMAGNETIC COUPLING THROUGH APERTURES. / Ziolkowski, Richard W; Johnson, William A.; Casey, Kendall F.

In: Radio Science, Vol. 19, No. 6, 11.1984, p. 1425-1431.

Research output: Contribution to journalArticle

Ziolkowski, Richard W ; Johnson, William A. ; Casey, Kendall F. / APPLICATIONS OF RIEMANN-HILBERT PROBLEM TECHNIQUES TO ELECTROMAGNETIC COUPLING THROUGH APERTURES. In: Radio Science. 1984 ; Vol. 19, No. 6. pp. 1425-1431.
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