Numerical method based on the solution of integral equations for the calculation of the band structure and reflectance of one- and two-dimensional photonic crystals

2006 ◽  
Vol 23 (10) ◽  
pp. 2249 ◽  
Author(s):  
Alberto Mendoza-Suárez ◽  
Francisco Villa-Villa ◽  
Jorge A. Gaspar-Armenta
Keyword(s):  
Photonic Crystals ◽  
Band Structure ◽  
Numerical Method ◽  
Integral Equations ◽  
Two Dimensional

Band structure of absorptive two-dimensional photonic crystals

2003 ◽  
Vol 20 (6) ◽  
pp. 1334 ◽  
Author(s):  
Han van der Lem ◽  
Adriaan Tip ◽  
Alexander Moroz
Keyword(s):  
Photonic Crystals ◽  
Band Structure ◽  
Two Dimensional

Band structure calculation in two-dimensional Kerr-nonlinear photonic crystals

2005 ◽  
Vol 248 (4-6) ◽  
pp. 469-477 ◽  
Author(s):  
I.S. Maksymov ◽  
L.F. Marsal ◽  
M.A. Ustyantsev ◽  
J. Pallarès
Keyword(s):  
Photonic Crystals ◽  
Band Structure ◽  
Structure Calculation ◽  
Band Structure Calculation ◽  
Two Dimensional ◽  
Nonlinear Photonic Crystals

scholarly journals Numerical Solution for the 2D Linear Fredholm Functional Integral Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Neda Khaksari ◽  
Mahmoud Paripour ◽  
Nasrin Karamikabir
Keyword(s):  
Numerical Method ◽  
Integral Equations ◽  
Unknown Function ◽  
Numerical Solutions ◽  
Functional Integral ◽  
Two Dimensional ◽  
Algebraic Equations ◽  
Linear Algebraic Equations ◽  
Linear Integral ◽  
Linear Integral Equations

In this work, a numerical method is applied for obtaining numerical solutions of Fredholm two-dimensional functional linear integral equations based on the radial basis function (RBF). To find the approximate solutions of these types of equations, first, we approximate the unknown function as a finite series in terms of basic functions. Then, by using the proposed method, we give a formula for determining the unknown function. Using this formula, we obtain a numerical method for solving Fredholm two-dimensional functional linear integral equations. Using the proposed method, we get a system of linear algebraic equations which are solved by an iteration method. In the end, the accuracy and applicability of the proposed method are shown through some numerical applications.

scholarly journals Evanescent modes in out-of-plane band structure for two-dimensional photonic crystals

2009 ◽  
Vol 17 (9) ◽  
pp. 7170 ◽  
Author(s):  
Jakob Blad ◽  
Aasmund S. Sudbø
Keyword(s):  
Photonic Crystals ◽  
Band Structure ◽  
Two Dimensional ◽  
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