Nonlinear Optics - From Solitons to Similaritons最新文献

筛选
英文 中文
Water Waves and Light: Two Unlikely Partners 水波和光:两个不可能的伙伴
Nonlinear Optics - From Solitons to Similaritons Pub Date : 2021-01-07 DOI: 10.5772/INTECHOPEN.95431
G. N. Koutsokostas, T. Horikis, D. Frantzeskakis, N. Antar, I. Bakirtas
{"title":"Water Waves and Light: Two Unlikely Partners","authors":"G. N. Koutsokostas, T. Horikis, D. Frantzeskakis, N. Antar, I. Bakirtas","doi":"10.5772/INTECHOPEN.95431","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.95431","url":null,"abstract":"We study a generic model governing optical beam propagation in media featuring a nonlocal nonlinear response, namely a two-dimensional defocusing nonlocal nonlinear Schrödinger (NLS) model. Using a framework of multiscale expansions, the NLS model is reduced first to a bidirectional model, namely a Boussinesq or a Benney-Luke-type equation, and then to the unidirectional Kadomtsev-Petviashvili (KP) equation – both in Cartesian and cylindrical geometry. All the above models arise in the description of shallow water waves, and their solutions are used for the construction of relevant soliton solutions of the nonlocal NLS. Thus, the connection between water wave and nonlinear optics models suggests that patterns of water may indeed exist in light. We show that the NLS model supports intricate patterns that emerge from interactions between soliton stripes, as well as lump and ring solitons, similarly to the situation occurring in shallow water.","PeriodicalId":123873,"journal":{"name":"Nonlinear Optics - From Solitons to Similaritons","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134323042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Soliton and Rogue-Wave Solutions of Derivative Nonlinear Schrödinger Equation - Part 2 导数非线性Schrödinger方程的孤子解和流氓波解-第2部分
Nonlinear Optics - From Solitons to Similaritons Pub Date : 2020-09-05 DOI: 10.5772/INTECHOPEN.93450
Guo-quan Zhou
{"title":"Soliton and Rogue-Wave Solutions of Derivative Nonlinear Schrödinger Equation - Part 2","authors":"Guo-quan Zhou","doi":"10.5772/INTECHOPEN.93450","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.93450","url":null,"abstract":"A revised and rigorously proved inverse scattering transform (IST for brevity) for DNLS+ equation, with a constant nonvanishing boundary condition (NVBC) and normal group velocity dispersion, is proposed by introducing a suitable affine parameter in the Zakharov-Shabat IST integral; the explicit breather-type and pure N-soliton solutions had been derived by some algebra techniques. On the other hand, DNLS equation with a non-vanishing background of harmonic plane wave is also solved by means of Hirota’s bilinear formalism. Its space periodic solutions are determined, and its rogue wave solution is derived as a long-wave limit of this space periodic solution.","PeriodicalId":123873,"journal":{"name":"Nonlinear Optics - From Solitons to Similaritons","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126818860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bright, Dark, and Kink Solitary Waves in a Cubic-Quintic-Septic-Nonical Medium 三-五-九-非标准介质中的亮、暗和扭结孤立波
Nonlinear Optics - From Solitons to Similaritons Pub Date : 2020-06-19 DOI: 10.5772/intechopen.92819
Mati Youssoufa, O. Dafounansou, A. Mohamadou
{"title":"Bright, Dark, and Kink Solitary Waves in a Cubic-Quintic-Septic-Nonical Medium","authors":"Mati Youssoufa, O. Dafounansou, A. Mohamadou","doi":"10.5772/intechopen.92819","DOIUrl":"https://doi.org/10.5772/intechopen.92819","url":null,"abstract":"In this chapter, evolution of light beams in a cubic-quintic-septic-nonical medium is investigated. As the model equation, an extended form of the well-known nonlinear Schrödinger (NLS) equation is taken into account. By the use of a special ansatz, exact analytical solutions describing bright/dark and kink solitons are constructed. The existence of the wave solutions is discussed in a parameter regime. Moreover, the stability properties of the obtained solutions are investigated, and by employing Stuart and DiPrima’s stability analysis method, an analytical expression for the modulational stability is found.","PeriodicalId":123873,"journal":{"name":"Nonlinear Optics - From Solitons to Similaritons","volume":"371 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124653499","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Digital Sorting of Optical Vortices in Perturbed Singular Beams 摄动奇异光束中光旋涡的数字分选
Nonlinear Optics - From Solitons to Similaritons Pub Date : 2020-02-20 DOI: 10.5772/intechopen.91419
A. Volyar, M. Bretsko, Y. Akimova, Y. Egorov
{"title":"Digital Sorting of Optical Vortices in Perturbed Singular Beams","authors":"A. Volyar, M. Bretsko, Y. Akimova, Y. Egorov","doi":"10.5772/intechopen.91419","DOIUrl":"https://doi.org/10.5772/intechopen.91419","url":null,"abstract":"The chapter provides a brief overview of shaping and measuring techniques of the vortex spectra (squared amplitudes and initial phases of vortex modes) including radial indices. The main physical mechanisms causing the formation of laser beams with a complex vortex composition, in particular, in biological media, are indicated, and the need for a digital analysis of vortex spectra is substantiated. It is the analysis of vortex spectra that allows us to find the orbital angular momentum and informational entropy (Shannon’s entropy) of perturbed laser beams in real time. In the main part of the chapter, we consider in detail a new approach for measuring vortex spectra without cuts and gluing of the wavefront, based on digital analyzing high-order intensity moments of complex beams and sorting the vortex beam in computer memory sells. It is shown that certain types of weak local inhomogeneities cause a vortex avalanche causing a sharp dips and bursts of the orbital angular momentum spectra and quick ups and downs of the informational entropy. An important object of analysis is also the vortex spectra of beams scattered by simple opaque obstacles such as a hole, a disk, and a sector aperture.","PeriodicalId":123873,"journal":{"name":"Nonlinear Optics - From Solitons to Similaritons","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130092141","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Q-Switched 2 Micron Solid-State Lasers and Their Applications 调q 2微米固体激光器及其应用
Nonlinear Optics - From Solitons to Similaritons Pub Date : 2019-10-03 DOI: 10.5772/intechopen.89548
Kejian Yang, Yaling Yang, Jingliang He, Shengzhi Zhao
{"title":"Q-Switched 2 Micron Solid-State Lasers and Their Applications","authors":"Kejian Yang, Yaling Yang, Jingliang He, Shengzhi Zhao","doi":"10.5772/intechopen.89548","DOIUrl":"https://doi.org/10.5772/intechopen.89548","url":null,"abstract":"In this chapter, we overview the Q-switched 2 μm solid-state laser development achieved in recent years, including flash- and diode-pumped solid-state lasers based on active and passive modulators. In summary, active Q-switching is still the first choice for obtaining large pulse energy at 2 μm currently, while passive Q-switching based on saturable absorbers (SAs), especially the newly emerging broadband low-dimension nanomaterial, is becoming promising approach in generating Q-switched 2 μm lasers specially with high repetition rate, although the output power, pulse duration, and pulse energy needs further enhancement. Besides, some important applications of 2 μm lasers, such as medicine, laser radar, and infrared directional interference, have also been introduced in brief.","PeriodicalId":123873,"journal":{"name":"Nonlinear Optics - From Solitons to Similaritons","volume":"452 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132995534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Thermal Fields in Laser Cladding Processing: A “Fire Ball” Model. A Theoretical Computational Comparison, Laser Cladding versus Electron Beam Cladding 激光熔覆过程中的热场:一个“火球”模型。激光熔覆与电子束熔覆的理论计算比较
Nonlinear Optics - From Solitons to Similaritons Pub Date : 2019-08-19 DOI: 10.5772/INTECHOPEN.88710
M. Oane, I. Mihăilescu, C. Ristoscu
{"title":"Thermal Fields in Laser Cladding Processing: A “Fire Ball” Model. A Theoretical Computational Comparison, Laser Cladding versus Electron Beam Cladding","authors":"M. Oane, I. Mihăilescu, C. Ristoscu","doi":"10.5772/INTECHOPEN.88710","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.88710","url":null,"abstract":"Laser cladding processing can be found in many industrial applications. A lot of different materials processing were studied in the last years. To improve the process, one may evaluate the phenomena behaviour from a theoretical and computational point of view. In our model, we consider that the phase transition to the melted pool is treated using an absorption coefficient which can underline liquid formation. In the present study, we propose a semi-analytical model. It supposes that melted pool is in first approximation a “sphere”, and in consequence, the heat equation is solved in spherical coordinates. Using the Laplace transform, we will solve the heat equation without the assumption that “time” parameter should be interpolated linearly. 3D thermal graphics of the Cu substrate are presented. Our model could be applied also for electron cladding of metals. We make as well a comparison of the cladding method using laser or electron beams. We study the process for different input powers and various beam velocities. The results proved to be in good agreement with data from literature.","PeriodicalId":123873,"journal":{"name":"Nonlinear Optics - From Solitons to Similaritons","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125904454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Magnetic Solitons in Optical Lattice 光学晶格中的磁孤子
Nonlinear Optics - From Solitons to Similaritons Pub Date : 2019-04-16 DOI: 10.5772/INTECHOPEN.85492
Xingdong Zhao
{"title":"Magnetic Solitons in Optical Lattice","authors":"Xingdong Zhao","doi":"10.5772/INTECHOPEN.85492","DOIUrl":"https://doi.org/10.5772/INTECHOPEN.85492","url":null,"abstract":"In this chapter, we discuss the magnetic solitons achieved in atomic spinor Bose-Einstein condensates (BECs) confined within optical lattice. Spinor BECs at each lattice site behave like spin magnets and can interact with each other through the static magnetic dipole-dipole interaction (MDDI), due to which the magnetic soliton may exist in blue-detuned optical lattice. By imposing an external laser field into the lattice or loading atoms in a red-detuned optical lattice, the light-induced dipole-dipole interaction (LDDI) can produce new magnetic solitons. The long-range couplings induced by the MDDI and ODDI play a dominant role in the spin dynamics in an optical lattice. Compared with spin chain in solid material, the nearest-neighbor approximation, next-nearest-neighbor approximation, and long-range case are discussed, respectively.","PeriodicalId":123873,"journal":{"name":"Nonlinear Optics - From Solitons to Similaritons","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114494216","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信