Elliptically modulated self-trapped singular beams in nonlocal nonlinear media: ellipticons

Abstract

We introduce a new class of elliptically modulated self-trapped singular beams in isotropic nonlinear media where nonlocality plays a crucial role in their existence. The analytical expressions in the highly nonlocal nonlinear limit of these elliptically shaped self-trapped beams, or ellipticons, is obtained and their existence in more general nonlocal nonlinear media is demonstrated. We show that the ellipticons represent a generalization of several known self-trapped beams, for example vortex solitons, azimuthons, and the Hermite and Laguerre solitons clusters. For the limit of the highly nonlocal nonlinear medium, the ellipticons are described in close form in terms of the InceGauss functions.

Symmetry-breaking instabilities of generalized elliptical solitons

“…Optical waves within elliptical shapes are obtained in a laser cavity with a special designed cavity [9] that supports exact cavity modes as a InceGaussian mode rather than a typical HermiteGaussian mode. Recently, elliptical solitons are proposed in strong nonlocal media [10,11], a fact that supports similar solutions, such as linear InceGaussian beams [9]. Experimental observations of elliptical solitons are also reported not only in nonconventionally biased photorefractive crystals [12] but also in nonlinear media with thermal-induced nonlocality [13].…”

Quantum orbital angular momentum of elliptically symmetric light

“…This effect is seen again with "ellipticons" which are elliptical, self-trapped beams which can exist in highly non-linear, non-local media. These objects are also described by the same equations as the IG beams [22]. A numerical, semi-classical treatment of these beams reveals turning points as well.…”

Evolution of Cos-Gaussian Beams in a Strongly Nonlocal Nonlinear Medium

“…In this case, the nonlocal nonlinear Schrödinger equation (NNLSE), which governs the propagation of an optical beam in a nonlocal nonlinear medium can be simplified to a linear equation, as suggested by A. W. Snyder and D. J. Mitchell [4]. Various solitons and breather solutions in the strongly nonlocal nonlinear media have been found [5][6][7][8]. Most of these studies focus on the shapes of optical beams invariant during propagation in linear and nonlinear media [6][7][8][9][10][11][12][13].…”

“…Various solitons and breather solutions in the strongly nonlocal nonlinear media have been found [5][6][7][8]. Most of these studies focus on the shapes of optical beams invariant during propagation in linear and nonlinear media [6][7][8][9][10][11][12][13]. However, the study of the evolution of beams with a change in shape during propagation is rarely reported in literature.…”