Zobrazeno 1 - 10 of 16 pro vyhledávání: '"D. V. Valovik"'
1
Akademický článek
Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity
Autor: E. Yu. Smol’kin, D. V. Valovik
Publikováno v: Advances in Mathematical Physics, Vol 2015 (2015)
The paper focuses on the problem of monochromatic electromagnetic TM wave propagation in a two-layer circular cylindrical dielectric waveguide. The space outside the waveguide is filled with isotropic medium having constant permittivity. The inner co
Externí odkaz: https://doaj.org/article/512d0ab40c324414803cacf42a8bc48a
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2
Akademický článek
Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr Nonlinearity
Autor: Yu G. Smirnov, D. V. Valovik
Publikováno v: Advances in Mathematical Physics, Vol 2012 (2012)
The problem of electromagnetic TM wave propagation through a layer with Kerr nonlinearity is considered. The layer is located between two half-spaces with constant permittivities. This electromagnetic problem is reduced to the nonlinear boundary eige
Externí odkaz: https://doaj.org/article/48fbf0e073d74d799247840fac189446
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5
On the integral characteristic function of the Sturm-Liouville problem
Autor: D. V. Valovik
Publikováno v: Sbornik: Mathematics. 211:1539-1550
We introduce a function whose zeros, and only these zeros, are eigenvalues of the corresponding Sturm-Liouville problem. The boundary conditions of the problem depend continuously on the spectral parameter. Therefore, it makes sense to call the funct
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::068549d39aa7c9598530f242a4fcda61
https://doi.org/10.1070/sm9235
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6
Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics
Autor: D V Valovik
Publikováno v: Nonlinearity. 33:3470-3499
An eigenvalue problem for Maxwell's equations with anisotropic cubic nonlinearity is studied. The problem describes propagation of transverse magnetic waves in a dielectric layer filled with (nonlinear) anisotropic Kerr medium. The nonlinearity invol
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bc6437d2ba63a6f544472df422ca5dc3
https://doi.org/10.1088/1361-6544/ab7d1f
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7
On spectral properties of the Sturm–Liouville operator with power nonlinearity
Autor: D. V. Valovik
Publikováno v: Monatshefte für Mathematik. 188:369-385
The paper considers the nonlinear eigenvalue problem for the equation $$y^{\prime \prime }(x) = \left( \lambda - \alpha |y(x)|^{2q}\right) y(x)$$ with boundary conditions $$y(0) = y(h) = 0$$ and $$y^{\prime }(0) = p$$ , where $$\alpha $$ , q, and p a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::479456a98159fa97c3ee1b2d74bbeccb
https://doi.org/10.1007/s00605-017-1124-0
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10
Nonlinear Transverse Magnetic Wave Propagation in a Layer Revisited
Autor: D. V. Valovik
Publikováno v: 2019 Photonics & Electromagnetics Research Symposium - Fall (PIERS - Fall).
The paper focused on the problem of propagation of a monochromatic transverse magnetic (TM) wave (E, H)e−iωt in a plane dielectric waveguide filled with nonlinear isotropic non-magnetic medium; here E, H are electric and magnetic fields, ω is the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::368261b8ab0790ef3d3e3fdb0ea40483
https://doi.org/10.1109/piers-fall48861.2019.9021367
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