Structure of modes of a smoothly irregular integrated-optical four-layer three-dimensional waveguide

The asymptotic method and the method of coupled waves used to study an integrated-optical multilayer three-dimensional waveguide satisfying the conditions of a continuously variable effective refractive index are considered. Three-dimensional fields of smoothly deforming modes of a four-layer integr...

Full description

Saved in:
Bibliographic Details
Published in:Quantum electronics (Woodbury, N.Y.) N.Y.), 2009-06, Vol.39 (6), p.566-574
Main Authors: Egorov, Alexander A, Sevast'yanov, L A
Format: Article
Language:English
Subjects:
AMPLITUDES
ASYMPTOTIC SOLUTIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIELECTRIC MATERIALS
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELECTROMAGNETIC RADIATION
EQUATIONS
FIBERS
LAYERS
MAGNETIC FIELDS
MATERIALS
MATHEMATICAL SOLUTIONS
OPTICAL FIBERS
OPTICAL PROPERTIES
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PHYSICAL PROPERTIES
RADIATIONS
REFRACTIVE INDEX
THREE-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS
WAVEGUIDES
WAVELENGTHS
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The asymptotic method and the method of coupled waves used to study an integrated-optical multilayer three-dimensional waveguide satisfying the conditions of a continuously variable effective refractive index are considered. Three-dimensional fields of smoothly deforming modes of a four-layer integrated-optical waveguide are described analytically. Explicit dependences of the contributions of the first order of smallness to the electric and magnetic field amplitudes of quasi-waveguide modes are obtained. The canonical type of quasi-wave equations describing the structure of quasi-TE and quasi-TM modes in a smoothly irregular four-layer integrated-optical three-dimensional waveguide is presented for the asymptotic method. By using the perturbation theory, shifts of complex propagation constants are obtained in an explicit form for these modes. The elaborated theory can be used to analyse structures from dielectric, magnetic and metamaterials in a rather broad wavelength range of electromagnetic waves. (waveguides. optical fibres)
ISSN:1063-7818
1468-4799
DOI:10.1070/QE2009v039n06ABEH013966