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.
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.
作者机构：
[Dai, Zhi-Ping; Tang, Shi-Qing] Hengyang Normal Univ, Coll Phys & Elect Engn, Hengyang 421002, Peoples R China.;[Pang, Zhao-Guang; Yang, Zhen-Jun] Hebei Normal Univ, Coll Phys, Hebei Adv Thin Films Key Lab, Shijiazhuang 050024, Hebei, Peoples R China.
通讯机构：
[Yang, Zhen-Jun] H;Hebei Normal Univ, Coll Phys, Hebei Adv Thin Films Key Lab, Shijiazhuang 050024, Hebei, Peoples R China.
摘要：
In this paper, we investigate the nonlinear dynamics of the off-waist incident cosh-squared-Gaussian beams (CSGBs) in highly nonlocal media. The analytical expression describing nonlinear dynamics of CSGBs is derived. It is found that the evolutions of the statistical beam width and the intensity pattern of CSGBs are always periodic, which is similar to the temporal higher-order breathers in nonlinear fiber. Numerical simulations are carried out to illustrate the evolution characteristics.
摘要：
We investigate the propagation properties of quadrupole breather in nonlinear media with a nonlocal exponential-decay response by using the variational method and the equivalent particle method. The analytical solution of the quadrupole breather is obtained. The breather beamwidth, the wavefront curvature, the intensity pattern, and the comparisons between the analytical quadrupole breather solution and the numerical simulations of the nonlocal nonlinear Schrödinger equation in the case of highly nonlocal nonlinearity are analyzed. The results show that the analytical solution is in good agreement with the numerical simulations at near-critical power incidence. Furthermore, we find that the envelope of the difference value curve between the analytical solution and the numerical simulation can be described as a logarithmic function under different input powers. It is useful for further understanding the propagation properties of optical breathers in nonlocal nonlinear media and might be of interest to the applications in error analysis and precision measurements.
摘要：
In this paper, we study the propagation and evolution of higher-order mixed-pattern solitons in nonlinear media with a strong nonlocality. The propagation analytic formula of higher-order mixed-pattern solitons is derived and discussed in detail. Taking the fourth-order mixed-pattern solitons as an example and based on numerical calculations, we present the variations of second-order moment beam width, the light intensity, and the wavefront curvature. We show that the propagation evolution exhibits unique characteristics depending on different relative factors of higher-order mixed-pattern solitons. The influence of the beam order on the propagation evolution is also discussed.
