A single-mode model of cross-sectional method in a smoothly irregular transition between planar thin-film dielectric waveguides

Divakov, D. V.; Lovetskiy, Konstantin P.; Sevastianov, Leonid A.; Tiutiunnik, Anastasiia A.

doi:10.1117/12.2590916

“…Thus, for the specific notation of the right-hand side, depending on the solutions (28) and (29), these solutions should belong to the class of continuously differentiable functions. In order to find such zero-order solutions, the method described in [8] is proposed.…”

Section: Discussionmentioning

confidence: 99%

Adiabatic guided modes of a three-layer integral optical waveguide

Divakov

¹

,

Lovetskiy

²

,

Sevastianov

³

et al. 2023

Technical Physics

0

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The numerical solution of the problem of guided propagation of polarized light in a smooth junction of a planar waveguide is considered. Within the framework of the model of adiabatic guided 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, whose nontrivial solvability condition yields the dispersion equation. Auxiliary eigenvalue problems for describing the adiabatic modes of the waveguide are solved. Keywords: smoothly irregular integrated-optical multilayer waveguides, eigenvalue and eigenvector problems, single-mode propagation of adiabatic waveguide modes.

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“…Таким образом, для конкретной записи правой части, в зависимости от решений (28) и (29), их решения необходимо получить в классе непрерывно дифференцируемых функций. С целью отыскания таких решений нулевого порядка предложен метод, изложенный в работе [8].…”

Section: в итоге получим неоднородную систему из четырех уравнений с ...unclassified

Адиабатические Волноводные Моды Трехслойного Интегрально Оптического Волновода

Диваков¹,

Ловецкий²,

Севастьянов³

et al. 2023

Журнал Технической Физики

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The numerical solution of the problem of guided propagation of polarized light in a smooth junction of a planar waveguide is considered. Within the framework of the model of adiabatic guided 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, whose nontrivial solvability condition yields the dispersion equation. Auxiliary eigenvalue problems for describing the adiabatic modes of the waveguide are solved.

show abstract