n-Series problems and the coupling of electromagnetic waves to apertures: a Riemann-Hilbert approach

Journal Article · Fri Mar 01 04:00:00 EST 1985 · SIAM J. Appl. Math.; (United States)

DOI:https://doi.org/10.1137/0516026· OSTI ID:6692003

Ziolkowski, R W

An effective approach to the solution of a large class of mixed boundary value problems (those reducible to an n-series problem) is developed. The method is based on the deduction of the equivalent Riemann-Hilbert problem and its solution. This generalized n-series approach leads to analytical descriptions of the coupling of electromagnetic waves through apertures in canonical structures into open or enclosed regions. In particular, it is applied to the canonical problem of plane wave coupling to an infinite circular cylinder with multiple infinite axial slots. Numerical results for currents induced by an H-polarized plane wave on a circular cylinder with a single slit are given. 9 references, 3 figures.

• Research Organization: Lawrence Livermore National Lab., CA
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6692003
• Journal Information: SIAM J. Appl. Math.; (United States), Journal Name: SIAM J. Appl. Math.; (United States) Vol. 16:2; ISSN SMJMA
• Country of Publication: United States
• Language: English

Related Subjects

657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APERTURES
BANACH SPACE
BOUNDARY-VALUE PROBLEMS
CONFIGURATION
COUPLING CONSTANTS
CYLINDRICAL CONFIGURATION
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
HILBERT SPACE
MATHEMATICAL SPACE
NUMERICAL SOLUTION
OPENINGS
PARTIAL DIFFERENTIAL EQUATIONS
POLARIZATION
RADIATIONS
RIEMANN SPACE
SPACE
WAVE EQUATIONS
WAVE PROPAGATION