Title :
A solution of the wave equation for planar gradient waveguides in a frequency domain
Author :
Fitio, V.M. ; Romakh, V.V. ; Bobitski, Y.V.
Author_Institution :
Dept. of Photonics, Lviv Polytech. Nat. Univ., Lviv, Ukraine
Abstract :
Possibilities of a numerical method for solving the wave equation of gradient planar waveguides are studied. The method is based on both the Fourier transform application and the wave equation solution in a frequency domain. Finally, a task to find propagation constants and field Fourier transforms in a discrete form is led to the eigenvalue/eigenvector problem. The new method provides high accuracy subject to the conditions of the Whittaker-Shannon sampling theorem, and it is characterized by high numerical stability.
Keywords :
Fourier transform optics; eigenvalues and eigenfunctions; light propagation; numerical analysis; optical planar waveguides; optical waveguide theory; wave equations; Whittaker-Shannon sampling theorem; discrete field Fourier transforms; frequency domain; numerical stability; planar gradient waveguides; propagation constants; wave equation; Accuracy; Permittivity; Transforms; Transmission line matrix methods;
Conference_Titel :
Advanced Optoelectronics and Lasers (CAOL), 2013 International Conference on
Conference_Location :
Sudak
Print_ISBN :
978-1-4799-0016-9
DOI :
10.1109/CAOL.2013.6657593
