Аdiabatic waveguide propagation of polarized light in a smooth transition of a planar waveguide
D.V. Divakov, 1,2 K.P. Lovetskiy, 1 A.L. Sevastianov, 3 A.A. Tyutyunnik 1,2
1 Peoples' Friendship University of Russia (RUDN University),
6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation
2 Joint Institute for Nuclear Research,
6, Joliot-Curie str., Dubna, Moscow Region, 141980, Russian Federation
3 Higher School of Economics,
11, Pokrovsky Bulvar, Moscow, 109028, Russian Federation
Abstract
The paper considers the numerical solution of the problem of waveguide propagation of polarized light in a smooth transition of a planar waveguide. Within the framework of the model of adiabatic waveguide modes, the system of Maxwell equations is reduced to a system of four ordinary differential equations and two algebraic equations for six components of the electromagnetic field in the zeroth approximation and the same number of equations in the first approximation. The multilayer structure of waveguides makes it possible to reduce the problem to a homogeneous system of linear algebraic equations, the condition of nontrivial solvability of which defines the dispersion equation. Auxiliary eigenvalue and eigenvector problems are solved to describe the adiabatic modes of the waveguide. Examples of solutions to the problem of single-mode waveguide propagation are given.
Speaker
Konstantin Lovetskiy
Peoples' Friendship University of Russia (RUDN University),
Russian Federation
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