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This article is cited in 11 scientific papers (total in 11 papers)
Zero approximation of vector model for smoothly-irregular optical waveguide
A. A. Egorova, A. L. Sevastyanovb, E. A. Ayrjanc, K. P. Lovetskiyb, L. A. Sevastianovb a Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow
b Peoples' Friendship University of Russia, Moscow
c Joint Institute for Nuclear Research, Dubna
Abstract:
On the base of adiabatic representation for eigenmodes of integrated-optical multilayer waveguide are presented differential equations and boarder conditions to vertical distribution of electromagnetic field in the waveguide. To smoothly-irregular waveguides an asymptotic method is applied and zero approximation parts of differential equations and boarder conditions are determined. Exact expressions are considered for vertical distribution of electromagnetic field in a waveguide and for boarder conditions. Finally the problem is reduced to the solution of homogeneous system of linear algebraic equations depending on a spectral parameter and to the search of the parameter values. The method and algorithms of calculating vertical dispersion of adiabatic modes are considered in conclusion.
Keywords:
integrated optics, waveguide modes, smooth three-dimensional irregularities, asymptotic method, differential equations, parametrically dependent algebraic equations.
Received: 01.12.2009
Citation:
A. A. Egorov, A. L. Sevastyanov, E. A. Ayrjan, K. P. Lovetskiy, L. A. Sevastianov, “Zero approximation of vector model for smoothly-irregular optical waveguide”, Matem. Mod., 22:8 (2010), 42–54
Linking options:
https://www.mathnet.ru/eng/mm3006 https://www.mathnet.ru/eng/mm/v22/i8/p42
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