1D Solitons in Saturable Nonlinear Media with Space Fractional Derivatives | |
Shi, Jincheng1,2,3,4; Zeng, Jianhua3,4 | |
刊名 | ANNALEN DER PHYSIK |
关键词 | nonlinear fractional Schrodinger equation nonlinear lattices saturable nonlinear media solitons |
ISSN号 | 0003-3804;1521-3889 |
DOI | 10.1002/andp.201900385 |
产权排序 | 1 |
英文摘要 | Two decades ago, standard quantum mechanics entered into a new territory called space-fractional quantum mechanics, in which wave dynamics and effects are described by the fractional Schrodinger equation. Such territory is now a key and hot topic in diverse branches of physics, particularly in optics driven by the recent theoretical proposal for emulating the fractional Schrodinger equation. However, the light-wave propagation in saturable nonlinear media with space fractional derivatives is yet to be clearly disclosed. Here, such nonlinear optics phenomenon is theoretically investigated based on the nonlinear fractional Schrodinger equation with nonlinear lattices-periodic distributions of either focusing cubic (Kerr) or quintic saturable nonlinearities-and the existence and evolution of localized wave structures allowed by the model are addressed. The model upholds two kinds of one-dimensional soliton families, including fundamental solitons (single peak) and higher-order solitonic structures consisting of two-hump solitons (in-phase) and dipole ones (anti-phase). Notably, the dipole solitons can be robust stable physical objects localized merely within a single well of the nonlinear lattices-previously thought impossible. Linear-stability analysis and direct simulations are executed for both soliton families, and their stability regions are acquired. The predicted solutions can be readily observed in optical experiments and beyond. |
语种 | 英语 |
出版者 | WILEY-V C H VERLAG GMBH |
WOS记录号 | WOS:000500415500001 |
内容类型 | 期刊论文 |
源URL | [http://ir.opt.ac.cn/handle/181661/31966] |
专题 | 西安光学精密机械研究所_瞬态光学技术国家重点实验室 |
通讯作者 | Zeng, Jianhua |
作者单位 | 1.Xi An Jiao Tong Univ, Shaanxi Key Lab Informat Photon Tech, Xian 710049, Shaanxi, Peoples R China 2.Xi An Jiao Tong Univ, Minist Educ, Key Lab Phys Elect & Devices, Xian 710049, Shaanxi, Peoples R China 3.Univ Chinese Acad Sci, Sch Optoelect, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Xian Inst Opt & Precis Mech, State Key Lab Transient Opt & Photon, Xian 710119, Shaanxi, Peoples R China |
推荐引用方式 GB/T 7714 | Shi, Jincheng,Zeng, Jianhua. 1D Solitons in Saturable Nonlinear Media with Space Fractional Derivatives[J]. ANNALEN DER PHYSIK. |
APA | Shi, Jincheng,&Zeng, Jianhua. |
MLA | Shi, Jincheng,et al."1D Solitons in Saturable Nonlinear Media with Space Fractional Derivatives".ANNALEN DER PHYSIK |
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