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

Journal Article · Tue Jun 30 00:00:00 EDT 2009 · Quantum Electronics (Woodbury, N.Y.)

DOI:https://doi.org/10.1070/QE2009V039N06ABEH013966· OSTI ID:21467123

Egorov, Alexander A ^[1]; Sevast'yanov, L A ^[2]

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1. A.M. Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow (Russian Federation)
2. Peoples' Friendship University of Russia, Moscow (Russian Federation)

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)

• OSTI ID: 21467123
• Journal Information: Quantum Electronics (Woodbury, N.Y.), Vol. 39, Issue 6; Other Information: DOI: 10.1070/QE2009v039n06ABEH013966; ISSN 1063-7818
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AMPLITUDES
ASYMPTOTIC SOLUTIONS
DIELECTRIC MATERIALS
ELECTRIC FIELDS
ELECTROMAGNETIC RADIATION
LAYERS
MAGNETIC FIELDS
OPTICAL FIBERS
PERTURBATION THEORY
REFRACTIVE INDEX
THREE-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS
WAVEGUIDES
WAVELENGTHS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIBERS
MATERIALS
MATHEMATICAL SOLUTIONS
OPTICAL PROPERTIES
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
RADIATIONS