Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit
The existence of dark strongly localized modes of binary discrete media with cubic-quintic nonlinearity is numerically demonstrated by solving the relevant discrete nonlinear Schrödinger equations. In the model, the coupling coefficients between adjacent sites are set to be relatively small represen...
| Main Authors: | , , |
|---|---|
| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
IOP
2018
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/7/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete.pdf http://irep.iium.edu.my/61634/8/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete%20media-SCOPUS.pdf |
| _version_ | 1848785702657982464 |
|---|---|
| author | Abdul Taib, Luckman Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. |
| author_facet | Abdul Taib, Luckman Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. |
| author_sort | Abdul Taib, Luckman |
| building | IIUM Repository |
| collection | Online Access |
| description | The existence of dark strongly localized modes of binary discrete media with cubic-quintic nonlinearity is numerically demonstrated by solving the relevant discrete nonlinear Schrödinger equations. In the model, the coupling coefficients between adjacent sites are set to be relatively small representing the anti-continuum limit. In addition, approximated analytical solutions for vectorial solitons with various topologies are derived. Stability analysis of the localized states was performed using the standard linearized eigenfrequency problem. The prediction from the stability analysis are furthermore verified by direct numerical integrations. |
| first_indexed | 2025-11-14T16:57:21Z |
| format | Proceeding Paper |
| id | iium-61634 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:57:21Z |
| publishDate | 2018 |
| publisher | IOP |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-616342018-06-26T07:03:13Z http://irep.iium.edu.my/61634/ Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit Abdul Taib, Luckman Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. QA Mathematics QC Physics The existence of dark strongly localized modes of binary discrete media with cubic-quintic nonlinearity is numerically demonstrated by solving the relevant discrete nonlinear Schrödinger equations. In the model, the coupling coefficients between adjacent sites are set to be relatively small representing the anti-continuum limit. In addition, approximated analytical solutions for vectorial solitons with various topologies are derived. Stability analysis of the localized states was performed using the standard linearized eigenfrequency problem. The prediction from the stability analysis are furthermore verified by direct numerical integrations. IOP 2018-01-02 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/61634/7/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete.pdf application/pdf en http://irep.iium.edu.my/61634/8/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete%20media-SCOPUS.pdf Abdul Taib, Luckman and Abdul Hadi, Muhammad Salihi and Umarov, Bakhram A. (2018) Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit. In: 4th International Conference on Mathematical Applications in Engineering 2017 (ICMAE'17), 8th–9th of August 2017, Kuala Lumpur, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/949/1/012013/pdf 10.1088/1742-6596/949/1/012013 |
| spellingShingle | QA Mathematics QC Physics Abdul Taib, Luckman Abdul Hadi, Muhammad Salihi Umarov, Bakhram A. Strongly localized dark modes in binary discrete media with cubic-quintic nonlinearity within the anti-continuum limit |
| title | Strongly localized dark modes in binary discrete
media with cubic-quintic nonlinearity within the
anti-continuum limit |
| title_full | Strongly localized dark modes in binary discrete
media with cubic-quintic nonlinearity within the
anti-continuum limit |
| title_fullStr | Strongly localized dark modes in binary discrete
media with cubic-quintic nonlinearity within the
anti-continuum limit |
| title_full_unstemmed | Strongly localized dark modes in binary discrete
media with cubic-quintic nonlinearity within the
anti-continuum limit |
| title_short | Strongly localized dark modes in binary discrete
media with cubic-quintic nonlinearity within the
anti-continuum limit |
| title_sort | strongly localized dark modes in binary discrete
media with cubic-quintic nonlinearity within the
anti-continuum limit |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/ http://irep.iium.edu.my/61634/7/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete.pdf http://irep.iium.edu.my/61634/8/61634-Strongly%20localized%20dark%20modes%20in%20binary%20discrete%20media-SCOPUS.pdf |