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Functional Integral Approach to the Solution of a System of Stochastic Differential Equations
Ayryan E., Egorov A., Kulyabov D., Malyutin V., Sevastianov L.
A new method for the evaluation of the characteristics of the solution of a system of stochastic
Quasi-Vector Model of Propagation of Polarized Light in a Thin-Film Waveguide Lens
Divakov D., Malykh M., Sevastianov L., Sevastianov A., Ayryan E.
Maxwell equations describe the propagation with diffraction of waveguide modes through a thin
Mathematical modeling of irregular integrated optical waveguides
Ayryan E.A., Egorov A.A., Sevastyanov L.A., Lovetskiy K.P., Sevastyanov A.L.
modes of an integrated optical waveguide in the first approximation are described by a pair of equations
Application of functional integrals to stochastic equations
Ayryan E.A., Egorov A.D., Kulyabov D.S., Malyutin V.B., Sevastyanov L.A.
Representing a probability density function (PDF) and other quantities describing a solution
On Explicit Difference Schemes for Autonomous Systems of Differential Equations on Manifolds
Ayryan E.A., Malykh M.D., Sevastianov L.A., Ying Y.
schemes that approximate a system of ordinary differential equations is investigated. An autonomous system
Synthesis of the Thickness Profile of the Waveguide Layer of the Thin Film Generalized Waveguide Luneburg Lens
Ayryan E.A., Dashitsyrenov G.D., Lovetskiy K.P., Sevastianov A.L.
A local variation in the thickness of the waveguide layer of integrated optics waveguide causes a
Approximate Formulas for Mathematical Expectations of Functionals of Random Processes Defined by Ito-Levy Multiple Integral Expansion
Ayryan E.A., Egorov A.D., Malyutin V.B., Sevastianov L.A.
of functionals corresponding to the solution of one kind of Skorokhod equations on a Wiener process. Test
Mathematical synthesis of the thickness profile of the waveguide Lüneburg lens using the adiabatic waveguide modes method
Ayryan E., Dashitsyrenov G., Laneev E., Lovetskiy K., Sevastianov L., Sevastianov A.
for the Luneburg thin-film generalized waveguide lens with a given focal length. The calculations are carried out
On Periodic Approximate Solutions of the Three-Body Problem Found by Conservative Difference Schemes
Ayryan E.A., Malykh M.D., Sevastianov L.A., Ying Y.
on a plane in which the distances between the bodies do not change. It is shown that this problem can
Modelling Leaky Waves in Planar Dielectric Waveguides
Ayryan E., Divakov D., Egorov A., Lovetskiy K., Sevastianov L.
Experimentally observed leaky modes of a dielectric waveguide are characterised by a weak

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