AN ANALYTICAL SOLUTION TO THE SOUND PRESSURE FIELD RESULTING FROM A PLANE WAVE INCIDENT ON AN ELLIPTIC CYLINDER AND A RIGHT CIRCULAR CYLINDER

1965 ◽  
Author(s):  
P. G. Hedgcoxe
Keyword(s):  
Analytical Solution ◽  
Circular Cylinder ◽  
Plane Wave ◽  
Sound Pressure ◽  
Pressure Field ◽  
Elliptic Cylinder ◽  
Wave Incident ◽  
Plane Wave Incident

The wide-spacing approximation applied to multiple scattering and sloshing problems

1990 ◽  
Vol 210 ◽  
pp. 647-658 ◽  
Author(s):  
D. V. Evans
Keyword(s):  
Plane Wave ◽  
Closed Form ◽  
Multiple Scattering ◽  
Water Wave ◽  
Wave Incident ◽  
Reflection And Transmission ◽  
Wide Spacing ◽  
Plane Wave Incident ◽  
Rigid Walls

Linear water-wave theor is used in conjuctin with a wide-spacing approximation to develop closed-form expressions for the reflection and transmission coeffcients appropriate to a plane wave incident upon any number of identical equally spaced obstacles in two dimensins, and also to derive a real expressin from which the sloshing requencies, which occur when the bodies are bounded by rigid walls, can be determined. In each case the solutin is in terms of known properties of radiation problems associated with any one of the bodies in isolation.

REPLY BY D. RANKIN TO THE DISCUSSION BY J. T. WEAVER

Geophysics ◽  
1963 ◽  
Vol 28 (3) ◽  
pp. 490-490
Author(s):  
D. Rankin
Keyword(s):  
Electromagnetic Field ◽  
Plane Wave ◽  
Radiation Field ◽  
Free Space ◽  
Wave Incident ◽  
Induction Field ◽  
The Earth ◽  
Plane Wave Incident

I am indebted to Weaver if he has indeed clarified certain points which I had previously considered to be obvious. Cagniard (1953) states explicitly the magnitude of the wavelengths in free space and it is further implicit in the work of Rankin (1962) that it is indeed this same electromagnetic field which is being considered. The plane wave aspect of the problem arises from the extent of and not the distance from the source so that truly it is the induction field and not the radiation field that is under discussion. I had believed, until this note by Weaver, that d’Erceville and Kunetz (1962) also considered a plane wave incident on the earth and in fact that I was merely following both Cagniard and d’Erceville and Kunetz in this matter. The consistency of the results would tend to confirm this belief.

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.

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.

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