SCATTERING OF A PLANE WAVE FROM A CIRCULAR DIELECTRIC CYLINDER AT OBLIQUE INCIDENCE

1955 ◽  
Vol 33 (5) ◽  
pp. 189-195 ◽  
Author(s):  
James R. Wait
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Incident Wave ◽  
Oblique Incidence ◽  
Normal Incidence ◽  
The Other ◽  
Infinite Length ◽  
Dielectric Cylinder ◽  
Magnetic Vector ◽  
Plane Wave Incident

A solution is given for the problem of a plane wave incident obliquely on a circular cylinder of infinite length. The electric properties of the cylinder are taken to be homogeneous and isotropic but otherwise arbitrary. It is shown that in the general case the scattered field contains a significant cross-polarized component which vanishes at normal incidence. While the solution is derived for the magnetic vector of the incident wave transverse to the axis of the cylinder, the corresponding result for the other polarization can be obtained from symmetry.

Diffraction of a plane wave by a dielectric cylinder. Oblique incidence

1986 ◽  
Vol 29 (2) ◽  
pp. 141-147
Author(s):  
E. N. Vasil'ev ◽  
Z. V. Sedel'nikova ◽  
A. R. Seregina
Keyword(s):  
Plane Wave ◽  
Oblique Incidence ◽  
Dielectric Cylinder

REFLECTION FROM A WIRE GRID PARALLEL TO A CONDUCTING PLANE

1954 ◽  
Vol 32 (9) ◽  
pp. 571-579 ◽  
Author(s):  
James R. Wait
Keyword(s):  
Plane Wave ◽  
Transmission Line ◽  
Incident Wave ◽  
Electric Vector ◽  
Wave Incident ◽  
Conducting Surface ◽  
Conducting Plane ◽  
Wire Grid ◽  
Parallel Wire ◽  
Plane Wave Incident

A solution is outlined for the problem of a plane wave incident obliquely on a parallel-wire grid which is backed by a plane conducting surface. The electric vector of the incident wave is taken to be parallel to the grid wires. The equivalent transmission line problem is pointed out. It is shown that, in certain cases, a resistive wire grid will absorb all the energy in the incident wave.

scholarly journals UNITARITY OF THE AHARONOV–BOHM SCATTERING AMPLITUDES

1998 ◽  
Vol 13 (05) ◽  
pp. 831-840 ◽  
Author(s):  
MASATO ARAI ◽  
HISAKAZU MINAKATA
Keyword(s):  
Scattering Amplitudes ◽  
Plane Wave ◽  
Incident Wave ◽  
Theoretical Foundation ◽  
Scattering Amplitude ◽  
The Other ◽  
Unitarity Relation ◽  
Incident Waves ◽  
Aharonov Bohm

We discuss the unitarity relation of the Aharonov–Bohm scattering amplitude with the hope that it distinguishes between the differing treatment which employ different incident waves. We find that the original Aharonov–Bohm scattering amplitude satisfies the unitarity relation under the regularization prescription whose theoretical foundation does not appear to be understood. On the other land, the amplitude obtained by Ruijsenaars who uses plane wave as incident wave also satisfies the unitarity relation but in an unusual way.

THE LONG WAVELENGTH LIMIT IN SCATTERING FROM A DIELECTRIC CYLINDER AT OBLIQUE INCIDENCE

1965 ◽  
Vol 43 (12) ◽  
pp. 2212-2215 ◽  
Author(s):  
James R. Wait
Keyword(s):  
Incident Wave ◽  
Simple Form ◽  
Oblique Incidence ◽  
Resonance Scattering ◽  
Angle Of Incidence ◽  
Dielectric Cylinder ◽  
Long Wavelength ◽  
Wavelength Limit ◽  
Limiting Case

The previously published exact expressions (Wait 1955) for scattering from a homogeneous dielectric cylinder are reduced to a simple form when the radius is very small compared with the wavelength. It is shown that, for this limiting case, the resonance scattering condition is independent of the polarization and angle of incidence of the incident wave.

Diffraction of an electromagnetic plane wave by a metallic sheet

1960 ◽  
Vol 257 (1290) ◽  
pp. 413-419 ◽  
Keyword(s):  
Plane Wave ◽  
Half Plane ◽  
Incident Wave ◽  
Oblique Angle ◽  
Conducting Material ◽  
Electromagnetic Plane Wave ◽  
Plane Wave Incident ◽  
Method Of Solution ◽  
Metallic Sheet ◽  
Electromagnetic Plane

A new generalized technique is developed for the solution of the problem of the diffraction of a plane-wave incident at an oblique angle on an imperfectly conducting half plane. It is shown that the solution may be deduced directly from the known scalar solutions for the half plane. The case when the incident wave is E-polarized is considered in detail. The method of solution is applicable to the case of an H-polarized wave and also to the case when the diffracting structure consists of a finite number of parallel sheets of conducting material. The solution for an arbitrary incident wave may be obtained by superposition of the plane wave solutions.

Resonance tunnelling of waves in a stratified cold plasma

1979 ◽  
Vol 290 (1374) ◽  
pp. 405-433 ◽  
Keyword(s):  
Refractive Index ◽  
Incident Wave ◽  
Cold Plasma ◽  
Oblique Incidence ◽  
Formal Proof ◽  
The Other ◽  
Governing Equations ◽  
Free System ◽  
Transmitted Waves ◽  
Incident Waves

The theory of the tunnelling of waves through a barrier in which the square of the effective refractive index is zero at one boundary and infinite at or near the other is studied. An infinity of the refractive index is called a resonance and so we speak of resonance tunnelling. The sum of the powers in the reflected and transmitted waves is less than the power in the incident wave even in a loss free system where there is no mechanism for the absorption of energy. A formal proof is given that there must be such a disappearance of energy, associated with the solution of the governing equations that is singular at the resonance. The problem of what has happened to the lost energy is discussed. Some previous treatments dealt only with normally incident waves, but this is a degenerate case. The theory is extended to include oblique incidence and some new features are revealed. Some specific examples are worked out as illustrations.

Reflexion of a plane wave at a plasma slab

1979 ◽  
Vol 22 (3) ◽  
pp. 525-547 ◽  
Author(s):  
J. N. Elgin
Keyword(s):  
Electromagnetic Wave ◽  
Plane Wave ◽  
Boundary Conditions ◽  
Oblique Incidence ◽  
Plasma Layer ◽  
Plane Electromagnetic Wave ◽  
Current Source ◽  
Normal Incidence ◽  
Method Of Solution ◽  
Plasma Slab

The problem of a monochromatic plane electromagnetic wave incident from a vacuum onto a plasma slab is considered. The method of solution is based on the representation of the disturbance in the plasma layer as that generated by an appropriate current source in the complementary regions into which, for the purpose of the representation, the plasma is conceived to extend. The normal incidence case is treated first for both the specular reflexion and the absorption boundary conditions, with the extension to oblique incidence following in a later section of the paper.

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