Title :
Spectral properties of the operator describing EM wave propagation in anisotropic dielectric guiding structures with arbitrary transversal inhomogeneity
Author :
Jabloriski, T.F.
Author_Institution :
Appl. Math. Dept, Nat. Louis Univ., Poland
Abstract :
A brief mathematical characterization and resulting physical interpretation of EM wave propagation in anisotropic waveguides is presented. It is based on spectral and functional analysis of the operator acting in a, suitably chosen Hilbert space. Analytical form of this operator is derived from Maxwell´s equations reduced to the eigenproblem for unknown transversal magnetic field components of the guided mode and its propagation constant. Numerical examples demonstrating analyzed features of the guided modes will be shown. A new convenient normalization of physical parameters of anisotropic waveguides with nonaligned optical axes is also proposed.
Keywords :
Maxwell equations; anisotropic media; eigenvalues and eigenfunctions; optical waveguide theory; refractive index; spectral analysis; EM wave propagation; Hilbert space; Maxwell´s equations; anisotropic waveguides; arbitrary transversal inhomogeneity; dielectric guiding structures; eigenproblem; functional analysis; guided modes; nonaligned optical; operator; physical parameters normalization; propagation constant; spectral analysis; spectral properties; unknown transversal magnetic field components; Anisotropic magnetoresistance; Dielectrics; Functional analysis; Geometrical optics; Hilbert space; Magnetic analysis; Magnetic fields; Maxwell equations; Optical waveguides; Propagation constant;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on
Conference_Location :
Kiev, Ukraine
Print_ISBN :
0-7803-7391-X
DOI :
10.1109/MMET.2002.1106848
