Diffraction of high-frequency waves by the edge of a perfectly conducting sheet located on a cylindrical dielectric interface
type: Item
instance of: scholarly article
title: Diffraction of high-frequency waves by the edge of a perfectly conducting sheet located on a cylindrical dielectric interface
zbMATH Open document ID: 0575.73112
DOI: 10.1016/0165-2125(85)90032-0
published in: Wave Motion
publication date: 1985-01-01T00:00:00Z
review text: An important class of electromagnetic structures involves metallic sheets on the surface of a curved dielectric interface. At high frequencies, the behavior of such structures can be analyzed by the geometrical theory of diffraction (GTD) provided that the various wave and ray species excited by a single edge are known. This problem is addressed here by determining the line source Green's function for a thin perfectly conducting half plane wrapped around a dielectric cylinder in an infinitely extended (nonperiodic) angular space. The formally exact solution is evaluated asymptotically to yield the GTD field in various ray-optical domains, with emphasis on those wave and ray species (creeping waves, whispering gallery modes, edge scattered fields, etc.) attributed to the presence of the edge. When the dielectric contrast is reduced to zero, all expressions are found to agree with those known for a curved sheet in a homogeneous medium.
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3920011
zbMATH Keywords: asymptotic approximation
zbMATH Keywords: refraction
zbMATH Keywords: electromagnetic structures
zbMATH Keywords: metallic sheets
zbMATH Keywords: surface of a curved dielectric interface
zbMATH Keywords: high frequencies
zbMATH Keywords: geometrical theory of diffraction
zbMATH Keywords: line source Green's function
zbMATH Keywords: thin perfectly conducting half plane
zbMATH Keywords: wrapped around a dielectric cylinder
zbMATH Keywords: infinitely extended (nonperiodic) angular space
zbMATH Keywords: formally exact solution
zbMATH Keywords: asymptotically
zbMATH Keywords: various ray-optical domains
zbMATH Keywords: creeping waves
zbMATH Keywords: whispering gallery modes
zbMATH Keywords: edge scattered fields
author: Mithat Idemen
author: Leopold B. Felsen
MaRDI profile type: Publication
full work available at URL: 0165-2125(85)90032-0
OpenAlex ID: W2051470516
cites work: Acoustic tunnelling
cites work: High frequency fields in the presence of a curved dielectric interface
cites work: Diffraction of a whispering gallery mode by the edge of a thin concave cylindrically curved surface
cites work: Q5515593
cites work: Slot Coupling of Rectangular and Spherical Wave Guides
cites work: Q5573303
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description: scientific article; zbMATH DE number 3920011