Title :
Leaky modes of slab waveguides-asymptotic solutions
Author :
Zhu, Jianxin ; Lu, Ya Yan
Author_Institution :
Dept. of Math., Zhejiang Univ., Hangzhou
fDate :
3/1/2006 12:00:00 AM
Abstract :
Approximate analytic solutions of the leaky modes in two-dimensional slab waveguides are derived through an asymptotic analysis. General slab waveguides with three layers of possibly different refractive indexes are studied for both the transverse electric (TE) and transverse magnetic (TM) cases. The results are useful in the eigenmode expansion method, where the leaky modes appear if a perfectly matched layer (PML) is used to terminate the transverse directions of optical waveguides
Keywords :
eigenvalues and eigenfunctions; optical waveguide theory; refractive index; asymptotic analysis; eigenmode expansion method; leaky modes; perfectly matched layer; refractive index; slab waveguides; Dispersion; Magnetic analysis; Mathematics; Nonlinear equations; Optical waveguides; Perfectly matched layers; Propagation constant; Refractive index; Slabs; Tellurium; Asymptotic solutions; leaky modes; perfectly matched layers (PMLs); slab waveguides;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2005.863275