Numerical Simulations of Elliptical Hollow Gaussian Beams Propagating in Strongly Nonlocal Media

Nonlocal Media ◽

Nonlocal Nonlinear ◽

Evolution Period

The evolution of elliptical hollow Gaussian beams propagating in strongly nonlocal nonlinear media is investigated. As examples, this paper mainly focuses on the evolutions of the transverse intensity and the beam width of elliptical hollow Gaussian beams with the beam order being 1 and 3. The results show that the evolutions of the transverse intensity and the beam width are both periodical and the size of the evolution period is determined by the input power. There exists the transverse reverse transform for the beam width when selecting a proper input power, which is quiet different from the circularly symmetric hollow Gaussian beams.

Propagation of Lorentz beam in strongly nonlocal nonlinear media

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863518500418 ◽

2018 ◽

Vol 27 (04) ◽

pp. 1850041 ◽

Cited By ~ 2

Author(s):

Limin Song ◽

Xuesong Jiang ◽

Zhenjun Yang ◽

Xingliang Li ◽

Shumin Zhang

Keyword(s):

Critical Power ◽

Beam Width ◽

Input Power ◽

Beam Spot ◽

Nonlinear Media ◽

Propagation Behavior ◽

Propagation Properties ◽

Nonlocal Nonlinear

Based on the Collins formula in strongly nonlocal nonlinear media (SNNM), the analytical expression for Lorentz beam passing through SNNM has been derived. It is found that the propagation behavior of Lorentz beam is variable and closely related to the parameters of initial ellipticity [Formula: see text] and input power. The beam has its own critical power in [Formula: see text] and [Formula: see text] directions, respectively. If the Lorentz beam with critical power in a certain direction enters in SNNM, its beam width will remain constant in that direction during propagation, otherwise its beam width varies periodically, as either broad or compressed. Moreover, when [Formula: see text], the beam spot is always symmetrical in [Formula: see text] and [Formula: see text] directions; when [Formula: see text], the beam spot is no longer symmetrical in [Formula: see text] and [Formula: see text] directions. Numerical simulations are carried out to illustrate these quintessential propagation properties.

Propagation of Elegant Hermite-Gaussian Beams in Strongly Nonlocal Nonlinear Media

Acta Optica Sinica ◽

10.3788/aos201131.1119002 ◽

2011 ◽

Vol 31 (11) ◽

pp. 1119002

Author(s):

张霞萍 Zhang Xiaping

Keyword(s):

Gaussian Beams ◽

Nonlinear Media ◽

Nonlocal Nonlinear

Propagation characteristics of astigmatic mixed-pattern solitons in strongly nonlocal nonlinear media

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863519500322 ◽

2019 ◽

Vol 28 (03) ◽

pp. 1950032

Author(s):

Zhiping Dai ◽

Shuai Jia ◽

Zhenjun Yang

Keyword(s):

Numerical Simulation ◽

Beam Width ◽

Propagation Characteristics ◽

Nonlinear Media ◽

Propagation Pattern ◽

Mixed Pattern ◽

Analytical Expressions ◽

Nonlocal Nonlinear

This paper discusses the propagation characteristics of astigmatic mixed-pattern solitons in strongly nonlocal nonlinear media. From the initial expression of the astigmatic mixed-pattern soliton, it is found that the propagation pattern of solitons can be divided into three different cases: oval type, two-petal type and four-petal type. We further derive the beam propagation expression, and solve the analytical expressions of the intensity, beam width, power and curvature of the soliton. Through numerical simulation, we made a series of graphs and carried on the necessary elaboration. The propagation dynamics are described emphatically and the propagation characteristics are discussed in detail.