SINGLE-MODE PROPAGATION OF AN ADIABATIC WAVEGUIDE MODE IN A SMOOTH TRANSITION BETWEEN PLANAR DIELECTRIC WAVEGUIDES
Dmitriy V. Divakov 1,2, Konstantin P. Lovetskiy 1, Anton L. Sevastianov 3,
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 High School of Economics, 20, str. Myasnitskaya, Moscow, 101000, Russian Federation
Abstract
The paper considers a model of adiabatic waveguide modes in the zero approximation as applied to the numerical solution of the problem of single-mode propagation of TE modes in a smoothly irregular integrated optical waveguide. Within the framework of the model, the solution of the Maxwell system of equations is reduced to a form that is expressed through the solution of a system of four ordinary differential equations and two algebraic equations for six components of the electromagnetic field. The multilayer structure of waveguides allows one more stage of reduction of the system of equations of the model to a homogeneous system of linear algebraic equations, the nontrivial solvability condition of which specifies the relationship between the gradient of the radiation phase front and the gradients of interfaces between thin homogeneous layers. Auxiliary problems (differential and algebraic) on eigenvalues and eigenvectors for describing adiabatic waveguide modes are formulated. The paper presents solutions for the single-mode propagation of TE polarized adiabatic waveguide waves.
Speaker
Konstantin P Lovetskiy
RUDN University - Peoples' Friendship University of Russia
Russian Federation
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