Beating solitons in parity-time symmetric potential well with unmatched imaginary part

Jun-Rong He, Qing Wang and Zhenglong Hu

Chaos, Solitons & Fractals, 2025, vol. 199, issue P2

Abstract: The soliton solutions in ring-shaped parity-time symmetric potential wells are obtained through the accelerated imaginary time method. Subsequently, the split-step Fourier method is employed to simulate the dynamics of these solutions in the parity-time symmetric system with an unmatched imaginary component, which differs from the imaginary part utilized in the iterative solution process. The results indicate that the beam maintains a localized state with a fixed width in the ring potential well, while displaying a periodically varying intensity pattern accompanied by oscillating power. Beams exhibiting this distinctive propagation behavior are referred to as beating solitons in this work. More interestingly, the period and degree of oscillation of these beating solitons can be modulated by adjusting the parameters associated with the imaginary part of the parity-time symmetric system. Furthermore, the conversion between different beam states can also be realized. Our findings not only enhance the understanding of beam dynamics in PT-symmetric systems but also provide new possibilities for achieving stable beam control.

Keywords: Nonlinear optics; Parity-time symmetry; Beating pattern of solitons; Oscillating power (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925008550
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p2:s0960077925008550

DOI: 10.1016/j.chaos.2025.116842

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().