Determination of the error of approximate solutions of problems in wave diffraction by metal septa in rectangular waveguides by the method of singular integral equations

1988 ◽  
Vol 31 (10) ◽  
pp. 889-894
Author(s):  
V. A. Neganov ◽  
L. A. Chasovnikova
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Wave Diffraction ◽  
Singular Integral Equations ◽  
Approximate Solutions ◽  
Rectangular Waveguides

The reduction of a pair of singular integral equations

1986 ◽  
Vol 100 (1) ◽  
pp. 175-182 ◽  
Author(s):  
D. Porter
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Wave Diffraction ◽  
Reduction Process ◽  
Singular Integral Equations ◽  
Diffraction Theory ◽  
Single Equation ◽  
Fredholm Equations ◽  
Type Reduction ◽  
Reduction Methods

AbstractA method is derived for converting a pair of coupled singular integral equations of a certain form into a single equation of the same (Cauchy-separable) type. Reduction methods for systems of singular integral equations are generally directed towards the construction of equivalent Fredholm equations. Preservation of the singular nature of the kernel in the reduction process permits the powerful techniques associated with Cauchy kernels to be used in seeking closed solutions of the original pair.The example given, derived previously from a problem in wave diffraction theory, illustrates many aspects of the method.

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