Abstract:We address the existence of multipole interface solitons in one-dimensional thermal nonlinear media with a step in the linear refractive index at the sample center. It is found that there exist two types of solutions for tripole and quadrupole interface solitons. The two types of interface solitons have different profiles, beam widths, mass centers, and stability regions. For a given propagation constant, only one type of interface soliton is proved to be stable, while the other type can also survive over a lo… Show more
“…[9] In 2006, the interaction of nonlocal solitons in NLCMs can be controlled by the degree of nonlocality, which has been proved experimentally by Hu et al [23] In 2011, Ma et al addressed the existence of multipole interface solitons in one-dimensional thermal nonlinear media and found that there exist two kinds of tripole and quadrupole interface solitons and three types of fifth-order interface solitons, respectively. [24] They obtained the analytical solutions of surface solitons and breathers in an HNNM, and obtained the critical power and the period of breathers by numerical simulation. [25] In 2016, Alberucci et al discussed the deviation process of soliton and breather in real materials based on the Snyder-Mitchell model.…”
In the framework of nonlinear wave optics, we report the evolution process of a dipole breathing wave in lossy nonlocal nonlinear media based on the nonlocal nonlinear Schrödinger equation. The analytical expression of the dipole breathing wave in such a nonlinear system is obtained by using the variational method. Taking advantage of the analytical expression, we analyze the influences of various physical parameters on the breathing wave propagation, including the propagation loss and the input power on the beam width, the beam intensity, and the wavefront curvature. Also, the corresponding analytical solutions are obtained. The validity of the analysis results is verified by numerical simulation. This study provides some new insights for investigating beam propagation in lossy nonlinear media
“…[9] In 2006, the interaction of nonlocal solitons in NLCMs can be controlled by the degree of nonlocality, which has been proved experimentally by Hu et al [23] In 2011, Ma et al addressed the existence of multipole interface solitons in one-dimensional thermal nonlinear media and found that there exist two kinds of tripole and quadrupole interface solitons and three types of fifth-order interface solitons, respectively. [24] They obtained the analytical solutions of surface solitons and breathers in an HNNM, and obtained the critical power and the period of breathers by numerical simulation. [25] In 2016, Alberucci et al discussed the deviation process of soliton and breather in real materials based on the Snyder-Mitchell model.…”
In the framework of nonlinear wave optics, we report the evolution process of a dipole breathing wave in lossy nonlocal nonlinear media based on the nonlocal nonlinear Schrödinger equation. The analytical expression of the dipole breathing wave in such a nonlinear system is obtained by using the variational method. Taking advantage of the analytical expression, we analyze the influences of various physical parameters on the breathing wave propagation, including the propagation loss and the input power on the beam width, the beam intensity, and the wavefront curvature. Also, the corresponding analytical solutions are obtained. The validity of the analysis results is verified by numerical simulation. This study provides some new insights for investigating beam propagation in lossy nonlinear media
“…It is note that interface solitons in such media are asymmetric because of the difference of the linear refractive index. For tripole and quadrupole interface solitons, there exist two different types of solutions under some special conditions [37].…”
We address the existence and properties of solitons in thermal media with periodic modulation of linear refractive index. Many kinds of solitons in such optical lattices, including symmetric and antisymmetric lattices, are found under different conditions. We study the influence of the refractive index difference between two different layers on solitons. It is also found that there do not exist cutoff value of propagation constant and soliton power for shifted lattice solitons. In addition, the solitons launched away from their stationary position may propagate without oscillation when the confinement from lattices is strong.
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