n-Series problems and the coupling of electromagnetic waves to apertures: a Riemann-Hilbert approach
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), Vol. 16:2
- Country of Publication:
- United States
- Language:
- English
Similar Records
Scattering of an H-polarized plane wave from an axially slotted infinite cylinder: a dual-series approach
Computational issues in electromagnetic coupling to a slit cylinder enclosing an off-set cylinder
Related Subjects
GENERAL PHYSICS
ELECTROMAGNETIC RADIATION
WAVE PROPAGATION
APERTURES
BOUNDARY-VALUE PROBLEMS
COUPLING CONSTANTS
CYLINDRICAL CONFIGURATION
HILBERT SPACE
NUMERICAL SOLUTION
POLARIZATION
RIEMANN SPACE
WAVE EQUATIONS
BANACH SPACE
CONFIGURATION
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL SPACE
OPENINGS
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
SPACE
657000* - Theoretical & Mathematical Physics