Radiation pattern of an electric line source located in a semi-infinite grounded dielectric slab calculated using expansion wave concept and geometrical theory of diffraction

2003 ◽  
Vol 150 (2) ◽  
pp. 70 ◽  
Author(s):  
V. Volski ◽  
G. Vandenbosch
Keyword(s):  
Radiation Pattern ◽  
Line Source ◽  
Expansion Wave ◽  
Geometrical Theory ◽  
Dielectric Slab ◽  
Electric Line ◽  
Geometrical Theory Of Diffraction

Diffraction of impulsive elastic waves by a fluid cylinder

1974 ◽  
Vol 75 (3) ◽  
pp. 391-404 ◽  
Author(s):  
Ramanand Jha
Keyword(s):  
Exact Solution ◽  
Circular Cylinder ◽  
Elastic Medium ◽  
Elastic Waves ◽  
Line Source ◽  
Inviscid Fluid ◽  
Geometrical Theory ◽  
Shadow Zone ◽  
Integral Transformations ◽  
Geometrical Theory Of Diffraction

AbstractIn this paper, the problem of diffraction of an impulsive P wave by a fluid circular cylinder has been considered. The cylinder is embedded in an unbounded isotropic homogeneous elastic medium and it is filled with inviscid fluid material. The line source, giving rise to the incident front, is situated outside the cylinder parallel to its axis.The exact solution of the problem is obtained by using the method of dual integral transformations. The solution is evaluated approximately to obtain the motion on the wave front in the shadow zone of the elastic medium. Further, we interpret the approxi mate solutions in terms of Keller's geometrical theory of diffraction. Our result also gives a correction to an earlier investigation of the similar problem by Knopoff and Gilbert(s).

Diffraction of sound pulses by a fluid cylinder

1964 ◽  
Vol 60 (2) ◽  
pp. 295-312 ◽  
Author(s):  
S. K. Mishra
Keyword(s):  
Circular Cylinder ◽  
Line Source ◽  
Pulse Propagation ◽  
Surrounding Medium ◽  
Geometrical Theory ◽  
Two Dimensional ◽  
Velocity Of Sound ◽  
Homogeneous Fluid ◽  
Geometrical Theory Of Diffraction ◽  
Sound Pulses

AbstractIn this paper, we consider the problem of diffraction of two-dimensional sound pulses by a homogeneous fluid circular cylinder contained in another homogeneous fluid. The line source is situated outside the cylinder and is parallel to its axis. It is supposed that the velocity of sound inside the cylinder is less than the velocity of sound in the surrounding medium. We investigate the problem by the method of dual transformation as developed by Friedlander. The pulse propagation modes both inside and outside the cylinder are obtained, We interpret the modes as diffracted pulses in terms of Keller's Geometrical Theory of Diffraction. The results agree with Friedlander's conjecture.

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