Evolution of Cos–Gaussian Beams in the Periodic Potential Optical Lattice
The evolution of Cos−Gaussian beams in periodic potential optical lattices is theoretically and numerically investigated. By theoretical analysis, a breathing soliton solution of the Gross–Pitaevskii equation with periodic potential is obtained, and the period of the breathing soliton is solved. In...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-08-01
|
| Series: | Crystals |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4352/12/8/1097 |
| _version_ | 1827600354283356160 |
|---|---|
| author | Bing Wen Yangbao Deng Jiamou Wei Depeng Chen Xiaoling Leng |
| author_facet | Bing Wen Yangbao Deng Jiamou Wei Depeng Chen Xiaoling Leng |
| author_sort | Bing Wen |
| collection | DOAJ |
| description | The evolution of Cos−Gaussian beams in periodic potential optical lattices is theoretically and numerically investigated. By theoretical analysis, a breathing soliton solution of the Gross–Pitaevskii equation with periodic potential is obtained, and the period of the breathing soliton is solved. In addition, the evolution of Cos−Gaussian beams in periodic potential optical lattices is numerically simulated. It is found that breathing solitons generate by appropriately choosing initial medium and beam parameters. Firstly, the effects of the initial parameters of Cos−Gaussian beams (initial phase and width) on its initial waveform and the propagation characteristics of breathing soliton are discussed in detail. Then, the influence of the initial parameters (modulation intensity and modulation frequency) of a photonic lattice on the propagation characteristics of breathing solitons is investigated. Finally, the effects of modulation intensity and modulation frequency on the width and period of the breathing soliton are analyzed. The results show that the number of breathing solitons is manipulated by controlling the initial parameters of Cos−Gaussian beams. The period and width of a breathing soliton are controlled by manipulating the initial parameters of a periodic photonic lattice. The results provide some theoretical basis for the generation and manipulation of breathing solitons. |
| first_indexed | 2024-03-09T04:34:52Z |
| format | Article |
| id | doaj.art-5e37c29d8e514a04905b93fab8caa90f |
| institution | Directory Open Access Journal |
| issn | 2073-4352 |
| language | English |
| last_indexed | 2024-03-09T04:34:52Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Crystals |
| spelling | doaj.art-5e37c29d8e514a04905b93fab8caa90f2023-12-03T13:30:05ZengMDPI AGCrystals2073-43522022-08-01128109710.3390/cryst12081097Evolution of Cos–Gaussian Beams in the Periodic Potential Optical LatticeBing Wen0Yangbao Deng1Jiamou Wei2Depeng Chen3Xiaoling Leng4All-Solid-State Energy Storage Materials and Devices Key Laboratory of Hunan Province, College of Information and Electronic Engineering, Hunan City University, Yiyang 413000, ChinaAll-Solid-State Energy Storage Materials and Devices Key Laboratory of Hunan Province, College of Information and Electronic Engineering, Hunan City University, Yiyang 413000, ChinaKey Laboratory for Micro-/Nano-Optoelectronic Devices of Ministry of Education, School of Physics and Electronics, Hunan University, Changsha 410082, ChinaAll-Solid-State Energy Storage Materials and Devices Key Laboratory of Hunan Province, College of Information and Electronic Engineering, Hunan City University, Yiyang 413000, ChinaAll-Solid-State Energy Storage Materials and Devices Key Laboratory of Hunan Province, College of Information and Electronic Engineering, Hunan City University, Yiyang 413000, ChinaThe evolution of Cos−Gaussian beams in periodic potential optical lattices is theoretically and numerically investigated. By theoretical analysis, a breathing soliton solution of the Gross–Pitaevskii equation with periodic potential is obtained, and the period of the breathing soliton is solved. In addition, the evolution of Cos−Gaussian beams in periodic potential optical lattices is numerically simulated. It is found that breathing solitons generate by appropriately choosing initial medium and beam parameters. Firstly, the effects of the initial parameters of Cos−Gaussian beams (initial phase and width) on its initial waveform and the propagation characteristics of breathing soliton are discussed in detail. Then, the influence of the initial parameters (modulation intensity and modulation frequency) of a photonic lattice on the propagation characteristics of breathing solitons is investigated. Finally, the effects of modulation intensity and modulation frequency on the width and period of the breathing soliton are analyzed. The results show that the number of breathing solitons is manipulated by controlling the initial parameters of Cos−Gaussian beams. The period and width of a breathing soliton are controlled by manipulating the initial parameters of a periodic photonic lattice. The results provide some theoretical basis for the generation and manipulation of breathing solitons.https://www.mdpi.com/2073-4352/12/8/1097Cos−Gaussian beambreathing solitonperiodic potentialevolution |
| spellingShingle | Bing Wen Yangbao Deng Jiamou Wei Depeng Chen Xiaoling Leng Evolution of Cos–Gaussian Beams in the Periodic Potential Optical Lattice Crystals Cos−Gaussian beam breathing soliton periodic potential evolution |
| title | Evolution of Cos–Gaussian Beams in the Periodic Potential Optical Lattice |
| title_full | Evolution of Cos–Gaussian Beams in the Periodic Potential Optical Lattice |
| title_fullStr | Evolution of Cos–Gaussian Beams in the Periodic Potential Optical Lattice |
| title_full_unstemmed | Evolution of Cos–Gaussian Beams in the Periodic Potential Optical Lattice |
| title_short | Evolution of Cos–Gaussian Beams in the Periodic Potential Optical Lattice |
| title_sort | evolution of cos gaussian beams in the periodic potential optical lattice |
| topic | Cos−Gaussian beam breathing soliton periodic potential evolution |
| url | https://www.mdpi.com/2073-4352/12/8/1097 |
| work_keys_str_mv | AT bingwen evolutionofcosgaussianbeamsintheperiodicpotentialopticallattice AT yangbaodeng evolutionofcosgaussianbeamsintheperiodicpotentialopticallattice AT jiamouwei evolutionofcosgaussianbeamsintheperiodicpotentialopticallattice AT depengchen evolutionofcosgaussianbeamsintheperiodicpotentialopticallattice AT xiaolingleng evolutionofcosgaussianbeamsintheperiodicpotentialopticallattice |