Interaction of a spatial soliton on an interface between two nonlinear media
Spatial solitons are the solutions of nonlinear partial differential equations describing the propagation of optical beams in Kerr type nonlinear medium. This paper studies the scattering of a spatial solitons of the Cubic-Quintic Nonlinear Schrödinger Equation (C-Q NLSE) on an interface between t...
| Main Authors: | , , , |
|---|---|
| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
2018
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/69794/ http://irep.iium.edu.my/69794/1/Buku%20Program%20dan%20Abstrak%20SKSM26.pdf http://irep.iium.edu.my/69794/2/SKSM-26_C_A086.pdf |
| _version_ | 1848787178547576832 |
|---|---|
| author | Mat Din, Mohd Azid Ahmad Kamely, Aizuddin Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah |
| author_facet | Mat Din, Mohd Azid Ahmad Kamely, Aizuddin Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah |
| author_sort | Mat Din, Mohd Azid |
| building | IIUM Repository |
| collection | Online Access |
| description | Spatial solitons are the solutions of nonlinear partial differential equations describing the propagation of
optical beams in Kerr type nonlinear medium. This paper studies the scattering of a spatial solitons of the
Cubic-Quintic Nonlinear Schrödinger Equation (C-Q NLSE) on an interface between two nonlinear media.
The scattering process will be investigated by variational approximation method and by direct numerical
solution of C-Q NLSE. This variational approximation method has been used to analyse the dynamic of the
width and center of mass position of a soliton during the scattering process. Meanwhile, a direct numerical
simulation of C-Q NLSE is run to check the accuracy of the approximation by using the same range of
parameters and initial condition. The results for direct numerical simulation of CQNLSE for soliton
parameters are quite similar with the variational equation. The studies showed that soliton can be reflected
by or transmitted through the interface, also the nonlinear surface wave can be formed depending on the
parameters of interface and initial soliton. |
| first_indexed | 2025-11-14T17:20:48Z |
| format | Proceeding Paper |
| id | iium-69794 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:20:48Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-697942020-01-29T06:30:51Z http://irep.iium.edu.my/69794/ Interaction of a spatial soliton on an interface between two nonlinear media Mat Din, Mohd Azid Ahmad Kamely, Aizuddin Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah QA Mathematics QC Physics Spatial solitons are the solutions of nonlinear partial differential equations describing the propagation of optical beams in Kerr type nonlinear medium. This paper studies the scattering of a spatial solitons of the Cubic-Quintic Nonlinear Schrödinger Equation (C-Q NLSE) on an interface between two nonlinear media. The scattering process will be investigated by variational approximation method and by direct numerical solution of C-Q NLSE. This variational approximation method has been used to analyse the dynamic of the width and center of mass position of a soliton during the scattering process. Meanwhile, a direct numerical simulation of C-Q NLSE is run to check the accuracy of the approximation by using the same range of parameters and initial condition. The results for direct numerical simulation of CQNLSE for soliton parameters are quite similar with the variational equation. The studies showed that soliton can be reflected by or transmitted through the interface, also the nonlinear surface wave can be formed depending on the parameters of interface and initial soliton. 2018 Proceeding Paper NonPeerReviewed application/pdf en http://irep.iium.edu.my/69794/1/Buku%20Program%20dan%20Abstrak%20SKSM26.pdf application/pdf en http://irep.iium.edu.my/69794/2/SKSM-26_C_A086.pdf Mat Din, Mohd Azid and Ahmad Kamely, Aizuddin and Umarov, Bakhram A. and Mohd Busul Aklan, Nor Amirah (2018) Interaction of a spatial soliton on an interface between two nonlinear media. In: Simposium Kebangsaan Sains Matematik ke-26, 28-29 November 2018, Kota Kinabalu, Sabah. (Unpublished) https://www.persama.org.my/sksm/sksm-ke26 |
| spellingShingle | QA Mathematics QC Physics Mat Din, Mohd Azid Ahmad Kamely, Aizuddin Umarov, Bakhram A. Mohd Busul Aklan, Nor Amirah Interaction of a spatial soliton on an interface between two nonlinear media |
| title | Interaction of a spatial soliton on an interface between
two nonlinear media |
| title_full | Interaction of a spatial soliton on an interface between
two nonlinear media |
| title_fullStr | Interaction of a spatial soliton on an interface between
two nonlinear media |
| title_full_unstemmed | Interaction of a spatial soliton on an interface between
two nonlinear media |
| title_short | Interaction of a spatial soliton on an interface between
two nonlinear media |
| title_sort | interaction of a spatial soliton on an interface between
two nonlinear media |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/69794/ http://irep.iium.edu.my/69794/ http://irep.iium.edu.my/69794/1/Buku%20Program%20dan%20Abstrak%20SKSM26.pdf http://irep.iium.edu.my/69794/2/SKSM-26_C_A086.pdf |