Numerical analysis of light transmission in dual-core waveguides

Masters Thesis

McKeiver, Joshua. 2023. Numerical analysis of light transmission in dual-core waveguides. Masters Thesis Master of Science. University of Southern Queensland.

Numerical analysis of light transmission in dual-core waveguides

TypeMasters Thesis
AuthorsMcKeiver, Joshua
1. FirstA/Pr Dmitry Strunin
2. SecondProf Yury Stepanyants
Institution of OriginUniversity of Southern Queensland
Qualification NameMaster of Science
Number of Pages254
PublisherUniversity of Southern Queensland
Place of PublicationAustralia
Digital Object Identifier (DOI)

We use a pseudo-spectral Fast Fourier Transform method on MATLAB to study solitary wave solutions for fractional, coupled non-linear Schrödinger equations and find novel stability boundaries associated with solution symmetry within the fractional derivative order. From the bifurcation diagram we find soliton stability corresponding to symmetry, and other curious dynamics such as, symmetry breaking, non-stationary, and bright / dark pulses, and potentially new conditions to support symmetry making dynamics. We explore fractional derivatives of order α ∈ (1, 2], and display the results for consideration.

KeywordsFractional derivative, coupled non-linear Schrödinger equation, MATLAB, soliton, symmetry, dark/bright solitons
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 20204902. Mathematical physics
4903. Numerical and computational mathematics
490410. Partial differential equations
Public Notes

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Byline AffiliationsSchool of Mathematics, Physics and Computing
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