Volume Singular Integral Equations Method for Solving of Diffraction Problem of Electromagnetic Waves in Rectangular Resonator

2003 ◽  
pp. 274-279
Author(s):  
Youri Smirnov ◽  
Alexei Tsupak
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Electromagnetic Waves ◽  
Diffraction Problem ◽  
Singular Integral Equations

Boundary integral equations for the scattering of electromagnetic waves by a homogeneous dielectric obstacle

1993 ◽  
Vol 123 (1) ◽  
pp. 185-208 ◽  
Author(s):  
P. A. Martin ◽  
Petri Ola
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Singular Integral ◽  
Electromagnetic Waves ◽  
Boundary Integral Equations ◽  
Surrounding Medium ◽  
Singular Integral Equations ◽  
Boundary Integral ◽  
Tangential Vector ◽  
Single Integral

SynopsisTime-harmonic electromagnetic waves are scattered by a homogeneous dielectric obstacle. The corresponding electromagnetic transmission problem is reduced to a single integral equation over S for a single unknown tangential vector field, where S is the interface between the obstacle and the surrounding medium. In fact, several different integral equations are derived and analysed, including two previously-known equations due to E. Marx and J. R. Mautz, and two new singular integral equations. Mautz's equation is shown to be uniquely solvable at all frequencies. A new uniquely solvable singular integral equation is also found. The paper also includes a review of methods using pairs of coupled integral equations over S. It is these methods that are usually used in practice, although single integral equations seem to offer some computational advantages.

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna

Singular integral equations in the bound-state problem

1965 ◽  
Vol 35 (3) ◽  
pp. 913-932 ◽  
Author(s):  
G. Cosenza ◽  
L. Sertorio ◽  
M. Toller
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Bound State ◽  
State Problem ◽  
Bound State Problem
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