Gaetano Assanto , Cassandra Khan , Timothy R. Marchant , Noel F. Smyth , Rosa Maria Vargas-Magaña
{"title":"Two-colour soliton interactions in nematic liquid crystals with temperature-dependent reorientational response","authors":"Gaetano Assanto , Cassandra Khan , Timothy R. Marchant , Noel F. Smyth , Rosa Maria Vargas-Magaña","doi":"10.1016/j.wavemoti.2025.103512","DOIUrl":null,"url":null,"abstract":"<div><div>The propagation and interaction of two optical spatial solitons, termed Nematicons, at different wavelengths in (2+1) dimensions is investigated in nematic liquid crystals exhibiting competing nonlinearities. In such soft matter the all-optical refractive index nonlocal response to extraordinarily polarized beams can be self-focusing via induced rotation of the constituent molecules and self-defocusing due to temperature increase mediated by photon absorption.</div><div>We consider wave-packets with initially straight trajectories either converging towards or diverging away from each other. The beams can converge or diverge depending on their transverse velocities at the input and other system parameters. We derive approximate variational solutions, finding that nematicons attract within a V-shaped region in the parameter space defined by their initial velocity and the defocusing coefficient. Comparisons between the approximate and full numerical solutions show an excellent agreement for initially diverging nematicons.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"136 ","pages":"Article 103512"},"PeriodicalIF":2.1000,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wave Motion","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S016521252500023X","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ACOUSTICS","Score":null,"Total":0}
引用次数: 0
Abstract
The propagation and interaction of two optical spatial solitons, termed Nematicons, at different wavelengths in (2+1) dimensions is investigated in nematic liquid crystals exhibiting competing nonlinearities. In such soft matter the all-optical refractive index nonlocal response to extraordinarily polarized beams can be self-focusing via induced rotation of the constituent molecules and self-defocusing due to temperature increase mediated by photon absorption.
We consider wave-packets with initially straight trajectories either converging towards or diverging away from each other. The beams can converge or diverge depending on their transverse velocities at the input and other system parameters. We derive approximate variational solutions, finding that nematicons attract within a V-shaped region in the parameter space defined by their initial velocity and the defocusing coefficient. Comparisons between the approximate and full numerical solutions show an excellent agreement for initially diverging nematicons.
期刊介绍:
Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics.
The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.