Single-mode propagation of the adiabatic waveguide mode in a smooth transition between planar waveguide

Anastasiia A. Tiutiunnik; Dmitriy V. Divakov; Konstantin P. Lovetskiy; Anton L. Sevastianov

doi:10.1117/12.2626384

29 April 2022 Single-mode propagation of the adiabatic waveguide mode in a smooth transition between planar waveguide

Anastasiia A. Tiutiunnik, Dmitriy V. Divakov, Konstantin P. Lovetskiy, Anton L. Sevastianov

Proceedings Volume 12193, Laser Physics, Photonic Technologies, and Molecular Modeling; 1219305 (2022) https://doi.org/10.1117/12.2626384
Event: XXV Annual Conference Saratov Fall Meeting 2021; and IX Symposium on Optics and Biophotonics, 2021, Saratov, Russian Federation

Abstract

The paper considers a model of adiabatic waveguide modes in the zero approximation applied to the numerical solution of the problem of single-mode propagation of guided modes in a smoothly irregular integrated optical waveguide. Within the framework of the model, the solution to 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 makes it possible to carry out one more stage of reducing the system of equations of the model to a homogeneous system of linear algebraic equations, the condition of nontrivial solvability of which specifies the dispersion equation. Auxiliary eigenvalue and eigenvector problems for describing adiabatic waveguide modes are solved. Example solutions for single-mode propagation of adiabatic waves are presented.

Citation Download Citation

Anastasiia A. Tiutiunnik, Dmitriy V. Divakov, Konstantin P. Lovetskiy, and Anton L. Sevastianov "Single-mode propagation of the adiabatic waveguide mode in a smooth transition between planar waveguide", Proc. SPIE 12193, Laser Physics, Photonic Technologies, and Molecular Modeling, 1219305 (29 April 2022); https://doi.org/10.1117/12.2626384

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