Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity
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 core of the waveguide is filled with isotropic mediu...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/614976 |
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| author | E. Yu. Smol’kin D. V. Valovik |
| author_facet | E. Yu. Smol’kin D. V. Valovik |
| author_sort | E. Yu. Smol’kin |
| collection | DOAJ |
| description | 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 core of
the waveguide is filled with isotropic medium having constant permittivity; the cladding
of the core is filled with isotropic inhomogeneous nonlinear permittivity (the nonlinear
term is expressed by Kerr law). Existence of guided modes which depend harmonically
on z (the waveguide axis coincides with z-axis) is proved and their localization is found.
Numerical results including different type of nonlinearities are presented. A comparison
with the linear case is given. The existence of a new propagation regime is predicted. |
| format | Article |
| id | doaj-art-512d0ab40c324414803cacf42a8bc48a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-512d0ab40c324414803cacf42a8bc48a2025-02-03T06:44:01ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/614976614976Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear PermittivityE. Yu. Smol’kin0D. V. Valovik1Department of Mathematics and Supercomputing, Penza State University, Krasnaya Street 40, Penza 440026, RussiaDepartment of Mathematics and Supercomputing, Penza State University, Krasnaya Street 40, Penza 440026, RussiaThe 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 core of the waveguide is filled with isotropic medium having constant permittivity; the cladding of the core is filled with isotropic inhomogeneous nonlinear permittivity (the nonlinear term is expressed by Kerr law). Existence of guided modes which depend harmonically on z (the waveguide axis coincides with z-axis) is proved and their localization is found. Numerical results including different type of nonlinearities are presented. A comparison with the linear case is given. The existence of a new propagation regime is predicted.http://dx.doi.org/10.1155/2015/614976 |
| spellingShingle | E. Yu. Smol’kin D. V. Valovik Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity Advances in Mathematical Physics |
| title | Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity |
| title_full | Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity |
| title_fullStr | Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity |
| title_full_unstemmed | Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity |
| title_short | Guided Electromagnetic Waves Propagating in a Two-Layer Cylindrical Dielectric Waveguide with Inhomogeneous Nonlinear Permittivity |
| title_sort | guided electromagnetic waves propagating in a two layer cylindrical dielectric waveguide with inhomogeneous nonlinear permittivity |
| url | http://dx.doi.org/10.1155/2015/614976 |
| work_keys_str_mv | AT eyusmolkin guidedelectromagneticwavespropagatinginatwolayercylindricaldielectricwaveguidewithinhomogeneousnonlinearpermittivity AT dvvalovik guidedelectromagneticwavespropagatinginatwolayercylindricaldielectricwaveguidewithinhomogeneousnonlinearpermittivity |