Integral equation method for the quasi-three-dimensional problem of the electromagnetic field in a nonhomogeneous conducting medium

1992 ◽  
Vol 3 (2) ◽  
pp. 212-216 ◽  
Author(s):  
S. N. Davydycheva
Keyword(s):  
Integral Equation ◽  
Electromagnetic Field ◽  
Three Dimensional ◽  
Integral Equation Method ◽  
Conducting Medium ◽  
Equation Method ◽  
Dimensional Problem

A Hybrid Integral Equation Method for Wave Forces on Three-Dimensional Offshore Structures

1987 ◽  
Vol 109 (3) ◽  
pp. 229-236 ◽  
Author(s):  
M. M. F. Yuen ◽  
F. P. Chau
Keyword(s):  
Integral Equation ◽  
Velocity Potential ◽  
Three Dimensional ◽  
Integral Equation Method ◽  
Offshore Structures ◽  
Equation Method ◽  
Wave Forces ◽  
Test Cases ◽  
Outer Domain ◽  
Hybrid Integral

Wave forces on arbitrary-shaped three-dimensional offshore structures are analyzed by the proposed hybrid integral equation method. Eigenfunction expansion is used to represent velocity potential in the outer domain, while a set of integral equations is developed for the inner domain encompassing the structure. A floating dock and a step cylinder are used as test cases showing the validity of the method.

Diffraction by a plane screen

1950 ◽  
Vol 202 (1069) ◽  
pp. 277-284 ◽  
Keyword(s):  
Integral Equation ◽  
Boundary Conditions ◽  
Integral Equations ◽  
Half Plane ◽  
Arbitrary Function ◽  
Electromagnetic Waves ◽  
Three Dimensional ◽  
Integral Equation Method ◽  
Dimensional Problem ◽  
Conducting Plane

The integral-equation method of solving the problem of the diffraction of electromagnetic waves by a perfectly conducting plane screen has been criticized by C. J. Bouwkamp, who claims that it is valid only when certain boundary conditions are satisfied on the edge of the screen. This criticism is answered. It is also shown that, since the equations to be solved are differential-integral equations, an arbitrary function arises in the solution and that this arbitrary function may be chosen so that, although there are singularities at the edge of the screen, there is no radiation of energy from the edge. As an illustration, the three-dimensional problem of diffraction by a half-plane is solved.

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