Strong Nonlocal Media Research Articles

Scalar and vector Hermite–Gaussian soliton in strong nonlocal media with exponential-decay response

This paper investigates the propagation of scalar and vector Hermite–Gaussian (HG) solitons in strong nonlocal media with exponential-decay response. The evolution equations for the parameters of the single HG beam are obtained by variational approach and the analytical results are confirmed by numerical simulation in section 2. Both the analytical and numerical solutions show that the critical power is increase with the increase of the order. Section 3 numerically studied the vector HG soliton and found that, the total critical power and the initial powers of the components should satisfy a complex relation. Because of the mutual attraction between the components, the stability of the quasi high-order vector HG soliton is better than the corresponding single HG beam during propagation.

Propagation of coupled super-Gaussian beam pairs in strong nonlocal media

The propagation of two mutually incoherent coupled super-Gaussian (SG) beam pairs in strong nonlocal media was studied by variational approach and numerical simulation. For forming a SG vector solitary wave, the total initial power must be equal to the critical power and the ratio of the two beam widths should be equal to a certain value. The numerical results show that the normalized critical power is a monotonically increase function of the order of SG solitary wave. Therefore, the phase shift, which is effectively determined by the critical power, will increase quickly with the order of SG solitary wave increasing. Since the phase shift is large for the low-order SG solitary wave and SG beam has some characteristics different with Gaussian beam, this theoretical result maybe has some potential applications value.

Vector Laguerre–Gaussian soliton in strong nonlocal nonlinear media

In this paper, the analytical vector Laguerre–Gaussian (LG) solutions are obtained in strongly nonlocal nonlinear media by variational approach. The comparisons of analytical solutions with numerical results show that the analytical vector LG solutions are in good agreement with the numerical simulations. Furthermore, we numerically proved that the completely stationary vector LG soliton, scalar LG soliton and even (odd) LG soliton can be obtained only in strong nonlocal media. For the general and weakly nonlocal cases, the single LG beam breaks up and the single even LG beam expands during propagation, only the LG beam pairs can reduce to a quasistable soliton due to the stabilizing mutual attraction between its components.

Hermite-Gaussian Vector soliton in strong nonlocal media

The propagation of two mutually incoherent Hermite-Gaussian (HG) beams in strong nonlocal media was studied. We obtained the evolution equations for the parameters of the two beams and found the condition of forming a HG Vector soliton by variational approach. The numerical result, which accords with the analytical solution very well, shows that a series of vector solitons which consisted of different-order HG beam pairs can be formed in strong nonlocal media. In addition, we found that the phase shifts are not only related to the total incident power, but also related to the orders of the two HG beams.

Large phase difference of soliton-like mutually-trapped beam pairs in strong nonlocal media

We discuss the propagation of two orthogonally polarized beams in nonlocal planar waveguides by variational approach as well as a numerical method. The evolution equations for parameters and the critical powers for soliton-like mutually-trapped propagation of the two beams are obtained. Moreover, we analyze the influence of coupling coefficient, initial power, birefringence and the degree of nonlocal on mutually-trapped propagation. In addition, we find that the two beams will have large phase difference since phase shifts of the two beams are different under certain conditions. This theoretical result may have potential applications in the light-control-light technology.

Analytical solution in the Ince-Gaussian form of the beam propagating in the strong nonlocal media

Based on the Snyder-Mitchell model that describes the paraxial beam propagating in strongly nonlocal nonlinear media and by constituting the trial solution with modulating the Gaussian beam by Ince polynomials in elliptic coordinate，the close forms of Ince-Gaussian beams have been accessed. Depending on the power of the beam，the Ince-Gaussian beams can be either a soliton state when the input power is equal to the critical power or a breather state. The Ince-Gaussian beams constitute the exact and continuous transition modes between Hermite-Gaussian beams and Laguerre-Gaussian beams. The profiles of the breather at different propagating distance are numerically obtained and the transitions of a few Ince solitons are given.

Analytical solution in the Hermite-Gaussian form of the beam propagating in the strong nonlocal media

In this paper, it is discussed that the optical beam with a suitable input powe r propagates in the nonlocal nonlinear media,which is governed by the nonlocal nonlinear Schrdinger equation (NNLSE).A new approxiamate linear model for the NNLSE is presented for the strong nonlocal media with the spatially symmetrica l real response functions by use of Taylor expansion. An exact analytical solut ion with the Hermite-Gaussian form is obtained.It is shown that the solution in the Gaussian form is the lowest-order mode.It is found that the anisomer ousty spatial soliton exists in the strong nonlocal media.

Analytical solution to the spatial optical solitons propagating in the strong nonlocal media

This paper discusses the optical beam (1+2D) of suitable input power propagating in the strong nolocal nonlinear media,which is governed by the Snyder-Mitchell model in the cylindrical coordinate.An exact analytical solution in Laguerre-Gaussian form is obtained.It is shown that the solution in the Gaussian form is the lowest-order mode.It is found for the first time that the necklace-ring spatial soliton exists in the strong nonlocal media.