摘要：
In this paper, the evolution characteristics of periodic transmission of circularly symmetric multi-ring solitons in optical nonlocal materials based on nonlinear Schrodinger equation are investigated in detail. The transmission expression of circularly symmetric multi-ring solitons has been derived. It was found that the number and size of rings in these solitons can be controlled by initial parameters. The transmission of circularly symmetric multi-ring solitons is similar to that of high-order temporal solitons in nonlinear fibers, exhibiting periodic variations. When the input energy is a specific value, the statistical width of circularly symmetric multi-ring solitons remains constant during transmission, otherwise it exhibits periodic changes, which can be considered as generalized breathing solitons. The influence of various parameters on the transmission characteristics has been analyzed in detail, and some important transmission characteristics have been intuitively demonstrated through numerical simulation.
摘要：
The transmission characteristics of circular-linear edge dislocation vortex (CLEDV) beams in optical nonlocal medium is investigated analytically and numerically in detail. The analytical expression for the transmission of CLEDV beams is derived, and the transmission characteristics of CLEDV beams are illustrated in figures. The influence of various parameters of CLEDV beams on transmission characteristics is discussed, including statistical spot size, input power, topological charge, etc. The results indicate that the main transverse intensity of CLEDV beams can maintain a crescent shaped distribution and rotate periodically under the influence of topological charges. For different input powers, the variations of the statistical spot size of CLEDV beams in two transverse directions exhibit diverse behaviors: they can be diametrically opposite, simultaneously expand or compress, remain constant in one direction while periodically changing in the other. This complexity highlights the intricate dynamics of CLEDV beams in optical nonlocal medium.
摘要：
The propagation and transformation of four-petal Gaussian vortex beams in optical fractional Fourier transform system is investigated on the basis of the framework of Collins diffraction integral. The mathematical expression of propagation transformation is derived, and typical propagation and transformation characteristics are illustrated by numerical results. The effects of fractional Fourier order, beam order, vortex topological charge, beam width and lens focal length on the fractional Fourier transform of four-petal Gaussian vortex beams are discussed in detail. The four-petal Gaussian vortex beam has four petals rectangular symmetric intensity distribution in the source plane, which is different from the traditional circular symmetric vortex beam. The four-petal Gaussian vortex beam shows abundant transformation properties. The fractional Fourier transform system can be equivalent to other several optical systems, so the results obtained her e can be extended to other equivalent optical systems.
期刊：
Results in Physics,2021年23:104055 ISSN：2211-3797
通讯作者：
Zhen-Jun Yang
作者机构：
[Dai, Zhi-Ping; Zeng, Qiao] Hengyang Normal Univ, Coll Phys & Elect Engn, Hengyang 421002, Peoples R China.;[Yang, Zhen-Jun; Shen, Shuang] Hebei Normal Univ, Coll Phys, Hebei Key Lab Photophys Res & Applicat, Shijiazhuang 050024, Hebei, Peoples R China.
通讯机构：
[Zhen-Jun Yang] C;College of Physics, Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, Shijiazhuang 050024, China
摘要：
In this paper, we investigate the evolution characteristics of periodically revived elliptical cos-Gaussian solitons and breathers based on nonlocal nonlinear Schr?dinger equation, which can be applied into describing the beam evolution in nonlocal nonlinear media. The elliptical cos-Gaussian solitons can present a variety of inten-sity distribution modes. With different incident energies, the statistical spot size can remain unchanged during the process of evolution, namely the soliton state; otherwise, the statistical spot size changes periodically, namely the breathing state. The transverse intensity mode always changes periodically which is similar to the higher-order temporal solitons. That is, they can be revived to the original mode at the end of each evolution period. Mathematical expressions are derived to describe the soliton propagation, the intensity pattern, the statistical spot size and the axial intensity etc. Various evolution characteristics are discussed in details and illustrated by numerical simulations.
作者机构：
[Wen, Feng; Hui, SiJia; Zhang, YanPeng; Wang, HongXing; Zhang, ShaoWei; Zhang, Minghui] Xi An Jiao Tong Univ, Minist Educ, Key Lab Phys Elect & Devices, Xian 710049, Peoples R China.;[Wen, Feng; Hui, SiJia; Zhang, YanPeng; Wang, HongXing; Zhang, ShaoWei; Zhang, Minghui] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China.;[Wen, Feng; Hui, SiJia; Zhang, YanPeng; Wang, HongXing; Zhang, ShaoWei; Zhang, Minghui] Xi An Jiao Tong Univ, Shaanxi Key Lab Informat Photon Tech, Xian 710049, Peoples R China.;[Wen, Feng; Hui, SiJia; Zhang, YanPeng; Wang, HongXing; Zhang, ShaoWei; Zhang, Minghui] Xi An Jiao Tong Univ, Inst Wide Bandgap Semicond, Xian 710049, Peoples R China.;[Yang, YuanJie] Univ Elect Sci & Technol China, Sch Phys, Chengdu 611731, Peoples R China.
通讯机构：
[Wen, Feng] K;[Yang, YuanJie] S;Key Laboratory for Physical Electronics and Devices of the Ministry of Education & School of Science & Shaanxi Key Lab of Information Photonic Technique & Institute of Wide Bandgap Semiconductors, Xi'an Jiaotong University, Xi'an, 710049, China.;School of Physics, University of Electronic Science and Technology of China, Chengdu, 611731, China.
摘要：
<jats:title>Abstract</jats:title><jats:p>The phenomenon of “dark resonances” is a well-known concept in quantum optics and laser spectroscopy. As a general rule, interactions involving in such a “dark state” lead to multiple quantum superposition states that interact coherently and are undesirable. In this paper, two types nonlinear interaction in an atomic cavity, namely the nested and cascaded interactions, are theoretically analyzed how the dark resonances form the dark state peak to modulate the vacuum Rabi splitting (VRS) and optical bistability (OB) behavior. In both the zero- and high order modes, there are four VRS peaks generated in the nested interaction and three in the cascade interaction. Dark resonance can modulate not only the peak number of VRS, but also the OB thresholds. It is found that dark state can determine the asymmetric OB distribution of nested type and symmetric OB distribution of cascade type. Besides that, the distinctive OB thresholds in two kinds of interaction also be studied. The observations not only conceptually extend the conventional “dark resonances” phenomenon, but also opens the door for a variety of new applications in tunable all-optical switch and quantum communication.</jats:p>
摘要：
Traditional artificial lattice with untunable refractive index have been restricted to flexible applied to kinds of micro medium imaging. This study proposes a novel approach to quantifying lattice using nonlinear optically induced periodic lattice, which possesses a striking feature of tunable refractive index, to further broaden current knowledge of optical imaging equipment. We conduct self-dressed and dual-dressed nonlinear four-wave mixing (FWM) signal modulation in the atoms by using the dressing effect of standing waves, and then investigate the space amplitude modulation and synthetization (amplitude and phase) modulation of the electromagnetic induced lattice (EIL) of FWM signal at the atom surface. The EIL presented in the far-field diffraction region confirms that diffraction intensity of the FWM signal can be easily transformed from zero-order to higher-order based on the dispersion effects. The tunable EIL with ultra-fast diffraction energy change can contribute to a better understanding of nonlinear process and provides a further step toward developing two-dimensional nonlinear atomic higher-resolution.
