Numerical analysis of light transmission in dual-core waveguides
Masters Thesis
| Title | Numerical analysis of light transmission in dual-core waveguides |
|---|---|
| Type | Masters Thesis |
| Authors | McKeiver, Joshua |
| Supervisor | |
| 1. First | A/Pr Dmitry Strunin |
| 2. Second | Prof Yury Stepanyants |
| Institution of Origin | University of Southern Queensland |
| Qualification Name | Master of Science |
| Number of Pages | 254 |
| Year | 2023 |
| Publisher | University of Southern Queensland |
| Place of Publication | Australia |
| Digital Object Identifier (DOI) | https://doi.org/10.26192/yyw1v |
| Abstract | 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. |
| Keywords | Fractional derivative, coupled non-linear Schrödinger equation, MATLAB, soliton, symmetry, dark/bright solitons |
| Contains Sensitive Content | Does not contain sensitive content |
| ANZSRC Field of Research 2020 | 4902. Mathematical physics |
| 4903. Numerical and computational mathematics | |
| 490410. Partial differential equations | |
| Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
| Byline Affiliations | School of Mathematics, Physics and Computing |
https://research.usq.edu.au/item/yyw1v/numerical-analysis-of-light-transmission-in-dual-core-waveguides
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