Stable localized modes in asymmetric waveguides with gain and loss
It is shown that asymmetric waveguides with gain and loss can support a stable propagation of optical beams. This means that the propagation constants of modes of the corresponding complex optical potential are real. A class of such waveguides is found from a relation between two spectral problems...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Optical Society of America
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/37770/ http://irep.iium.edu.my/37770/1/ol-39-14-4215.pdf |
| _version_ | 1848781469789454336 |
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| author | Tsoy, Eduard N. Allayarov, Izzat M. Abdullaev, Fatkhulla |
| author_facet | Tsoy, Eduard N. Allayarov, Izzat M. Abdullaev, Fatkhulla |
| author_sort | Tsoy, Eduard N. |
| building | IIUM Repository |
| collection | Online Access |
| description | It is shown that asymmetric waveguides with gain and loss can support a stable propagation of optical beams. This
means that the propagation constants of modes of the corresponding complex optical potential are real. A class of
such waveguides is found from a relation between two spectral problems. A particular example of an asymmetric
waveguide, described by the hyperbolic functions, is analyzed. The existence and stability of linear modes and of
continuous families of nonlinear modes are demonstrated. |
| first_indexed | 2025-11-14T15:50:04Z |
| format | Article |
| id | iium-37770 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:50:04Z |
| publishDate | 2014 |
| publisher | Optical Society of America |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-377702018-06-19T06:24:01Z http://irep.iium.edu.my/37770/ Stable localized modes in asymmetric waveguides with gain and loss Tsoy, Eduard N. Allayarov, Izzat M. Abdullaev, Fatkhulla QC Physics It is shown that asymmetric waveguides with gain and loss can support a stable propagation of optical beams. This means that the propagation constants of modes of the corresponding complex optical potential are real. A class of such waveguides is found from a relation between two spectral problems. A particular example of an asymmetric waveguide, described by the hyperbolic functions, is analyzed. The existence and stability of linear modes and of continuous families of nonlinear modes are demonstrated. Optical Society of America 2014-07-11 Article PeerReviewed application/pdf en http://irep.iium.edu.my/37770/1/ol-39-14-4215.pdf Tsoy, Eduard N. and Allayarov, Izzat M. and Abdullaev, Fatkhulla (2014) Stable localized modes in asymmetric waveguides with gain and loss. Optics Letters, 39 (14). pp. 4215-4218. ISSN 0146-9592 (P) 1539-4794 (O) http://dx.doi.org/10.1364/OL.39.004215 10.1364/OL.39.004215 |
| spellingShingle | QC Physics Tsoy, Eduard N. Allayarov, Izzat M. Abdullaev, Fatkhulla Stable localized modes in asymmetric waveguides with gain and loss |
| title | Stable localized modes in asymmetric waveguides with gain and loss |
| title_full | Stable localized modes in asymmetric waveguides with gain and loss |
| title_fullStr | Stable localized modes in asymmetric waveguides with gain and loss |
| title_full_unstemmed | Stable localized modes in asymmetric waveguides with gain and loss |
| title_short | Stable localized modes in asymmetric waveguides with gain and loss |
| title_sort | stable localized modes in asymmetric waveguides with gain and loss |
| topic | QC Physics |
| url | http://irep.iium.edu.my/37770/ http://irep.iium.edu.my/37770/ http://irep.iium.edu.my/37770/ http://irep.iium.edu.my/37770/1/ol-39-14-4215.pdf |