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Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach

We theoretically investigate modulation instability (MI) in a nonidentical waveguide array, which is made up of positive and negative index metamaterial waveguides. The unit cell of the optical waveguide array consists of three waveguides arranged in a triangular manner. Waveguides 1 and 3 are made...

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التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Alharbi, Sayer Obaid, Ali, A.K. Shafeeque, Asma, Mir, Abolaban, Fouad A.
التنسيق: مقال
منشور في: IOP Publishing 2024
الموضوعات:
QA Mathematics
QC Physics
الوصول للمادة أونلاين:http://eprints.um.edu.my/45163/
https://doi.org/10.1088/1402-4896/ad406a
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record_format eprints
spelling my.um.eprints.451632024-09-20T02:36:45Z http://eprints.um.edu.my/45163/ Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach Alharbi, Sayer Obaid Ali, A.K. Shafeeque Asma, Mir Abolaban, Fouad A. QA Mathematics QC Physics We theoretically investigate modulation instability (MI) in a nonidentical waveguide array, which is made up of positive and negative index metamaterial waveguides. The unit cell of the optical waveguide array consists of three waveguides arranged in a triangular manner. Waveguides 1 and 3 are made up of positive index material (PIM) channels and waveguide 2 is by negative index material (NIM) channels, as a result, they show different light propagation characteristics. We model this array of waveguides using a generalized nonlinear Schro<spacing diaeresis>dinger equation, replacing the Laplacian operator with the graph Laplacian. Following linear stability analysis, we will discuss MI for different values of transverse wave number, as it determines the order of the Brillouin zone. We also discuss the effect of input power on periodic MI in normal and anomalous dispersion regimes. Thus we report a comprehensive study on the MI and hence the better ways to generate and manipulate the solitons or ultra-short pulses in NIM PIM waveguide arrays. IOP Publishing 2024-06 Article PeerReviewed Alharbi, Sayer Obaid and Ali, A.K. Shafeeque and Asma, Mir and Abolaban, Fouad A. (2024) Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach. Physica Scripta, 99 (6). 065216. ISSN 0031-8949, DOI https://doi.org/10.1088/1402-4896/ad406a <https://doi.org/10.1088/1402-4896/ad406a>. https://doi.org/10.1088/1402-4896/ad406a 10.1088/1402-4896/ad406a
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
QC Physics
spellingShingle QA Mathematics
QC Physics
Alharbi, Sayer Obaid
Ali, A.K. Shafeeque
Asma, Mir
Abolaban, Fouad A.
Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach
description We theoretically investigate modulation instability (MI) in a nonidentical waveguide array, which is made up of positive and negative index metamaterial waveguides. The unit cell of the optical waveguide array consists of three waveguides arranged in a triangular manner. Waveguides 1 and 3 are made up of positive index material (PIM) channels and waveguide 2 is by negative index material (NIM) channels, as a result, they show different light propagation characteristics. We model this array of waveguides using a generalized nonlinear Schro<spacing diaeresis>dinger equation, replacing the Laplacian operator with the graph Laplacian. Following linear stability analysis, we will discuss MI for different values of transverse wave number, as it determines the order of the Brillouin zone. We also discuss the effect of input power on periodic MI in normal and anomalous dispersion regimes. Thus we report a comprehensive study on the MI and hence the better ways to generate and manipulate the solitons or ultra-short pulses in NIM PIM waveguide arrays.
format Article
author Alharbi, Sayer Obaid
Ali, A.K. Shafeeque
Asma, Mir
Abolaban, Fouad A.
author_facet Alharbi, Sayer Obaid
Ali, A.K. Shafeeque
Asma, Mir
Abolaban, Fouad A.
author_sort Alharbi, Sayer Obaid
title Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach
title_short Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach
title_full Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach
title_fullStr Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach
title_full_unstemmed Modulation instability in nonidentical metamaterial waveguide arrays by graph Laplacian approach
title_sort modulation instability in nonidentical metamaterial waveguide arrays by graph laplacian approach
publisher IOP Publishing
publishDate 2024
url http://eprints.um.edu.my/45163/
https://doi.org/10.1088/1402-4896/ad406a
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score 13.251813

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