Propagation of optical beams in strongly nonlocal nonlinear media

Propagation of anomalous vortex beams in strongly nonlocal nonlinear media

“…(2) can be reduced to the SMM. As shown in our previous work [43,44,52], the beam propagation in SMM can be solved based on the matrix optics [53] or the fractional Fourier transformer [54][55][56]. The beam propagation expression for SMM can be obtained by the well-known Collins formula and the ABCD matrix.…”

“…Thus the AVB propagating in SNNM can be regarded as a generalized higher-order spatial soliton or breather. In addition, the SNNM is equivalent to several other physical systems, such as optical fractional Fourier transform systems [43,44] and quadraticindex media [45,46], therefore the results in this paper can also be expanded to study the propagation of AVBs in these equivalent physical systems.…”

Propagation of Ince–Gaussian beams in strongly nonlocal nonlinear media using paraxial group transformation

“…1 This property is observed in several optical materials such as photorefractive crystals, 2 nematic liquid crystals, 3, 4 lead glasses, 5, 6 atomic vapors, 7 BoseEinstein condensates, 8 etc. The nonlocal nonlinear Schrödinger equation (NNLSE) has been widely used for studying the propagation of optical beams in the NNM.…”

“…We investigate the propagation of IG beams as typical complicate paraxial beams in SNNM media based on paraxial group method and the ABCD matrix of SNNM which is introduced in Ref. 1.…”

Investigation on Propagation Characteristics of Super-Gaussian Beam in Highly Nonlocal Medium

“…In highly nonlocal media various type of beam shapes have been investigated, namely Hermite-Gaussian (HG) form [33], cosh-Gaussian form [40], Gaussian forms [3,14], Laguerre-Gaussian and HermiteGaussian forms [32,33], Ince-Gaussian form [34,35], complex-variablefunction Gaussian form [37]. To the best of our knowledge, no one has studied super-Gaussian (SG) shape yet.…”