Title :
A vectorial variational mode solver and its application to piecewise constant and diffused waveguides
Author :
Ivanova, O. Alyona ; Stoffer, Remco ; Hammer, Manfred ; Van Groesen, E. Brenny
Author_Institution :
MESA+ Inst. for Nanotechnol., Univ. of Twente, Enschede
fDate :
June 29 2008-July 2 2008
Abstract :
A variational vectorial mode solver for 3-D dielectric waveguides with arbitrary 2-D cross-sections is proposed. It is based on expansion of each component of a mode profile as a superposition of some a priori defined functions defined on one coordinate axis times some unknown continuous coefficient functions, defined on the other axis. By applying a variational restriction procedure the unknown coefficient functions are determined as an optimum approximation of the true vectorial mode profile. A couple of examples illustrate the performance of the method.
Keywords :
modal analysis; optical waveguide theory; piecewise constant techniques; refractive index; variational techniques; vectors; 3-D dielectric waveguides; arbitrary 2-D cross-sections; continuous coefficient functions; diffused waveguides; nonrectangular piecewise-constant refractive index distribution; optical waveguides; optimum approximation; variational restriction procedure; vectorial mode profile; vectorial variational mode solver; Dielectrics; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Integrated optics; Optical refraction; Optical variables control; Optical waveguides; Refractive index; Transmission line matrix methods;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2008. MMET 2008. 12th International Conference on
Conference_Location :
Odesa
Print_ISBN :
978-1-4244-2284-5
DOI :
10.1109/MMET.2008.4581041
