Second‐kind Fredholm integral‐equation analysis of scattering by layered dielectric gratings

2021 ◽  
Author(s):  
Nikolaos L. Tsitsas
Keyword(s):  
Integral Equation ◽  
Fredholm Integral Equation ◽  
Dielectric Gratings ◽  
Equation Analysis ◽  
Layered Dielectric

On Improved Approximate Solution of the Fredholm Integral Equation

2006 ◽  
Vol 6 (3) ◽  
pp. 264-268
Author(s):  
G. Berikelashvili ◽  
G. Karkarashvili
Keyword(s):  
Integral Equation ◽  
Approximate Solution ◽  
Fredholm Integral Equation ◽  
Algebraic Equations ◽  
Order Convergence ◽  
One Dimensional ◽  
Averaging Operator ◽  
Linear Algebraic Equations ◽  
Convergence Solution

AbstractA method of approximate solution of the linear one-dimensional Fredholm integral equation of the second kind is constructed. With the help of the Steklov averaging operator the integral equation is approximated by a system of linear algebraic equations. On the basis of the approximation used an increased order convergence solution has been obtained.

scholarly journals Integral Equation Analysis of Plane Wave Scattering by Coplanar Graphene-Strip Gratings in the THz Range

2013 ◽  
Vol 3 (5) ◽  
pp. 666-674 ◽  
Author(s):  
Olga V. Shapoval ◽  
Juan Sebastian Gomez-Diaz ◽  
Julien Perruisseau-Carrier ◽  
Juan R. Mosig ◽  
Alexander I. Nosich
Keyword(s):  
Integral Equation ◽  
Plane Wave ◽  
Wave Scattering ◽  
Equation Analysis ◽  
Thz Range ◽  
Plane Wave Scattering ◽  
Graphene Strip
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