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In this study, we investigate Airy, cos-Airy, and cosh-Airy beam lasers with optical vortex (OV). Then, taking into account the Fourier transform, we examine and compare the propagation of these beams in a strong nonlinear system. The results indicate that by changing the input power p 0 and the parameters b and propagation length, the location of OV displaces. It is shown that nonlinearity is one of the parameters that control OV in optical systems used in these types of lasers. An important property in these beams is their direction variation due to the change in the mentioned parameters, which can be used in applications such as beam switching. [ABSTRACT FROM AUTHOR]

Functionality and spatial concentration of light in periodic and disordered plasmonic crystal metallic nanowires are investigated under Kerr nonlinearity. The results show that nonlinear transverse localization of surface plasmon polaritons (SPP) in a periodic and disordered array of nanowires embedded in the Kerr medium changes with incident input wave amplitude (A). We study periodic and diagonal disordered nanowire arrays and study the propagation of SSPs under different inputs by solving nonlinear coupling relations. Finally, off-diagonal disordered nanowire arrays are studied. The results show that localization and effective beamwidth of the SPPs increases with an increase in their input amplitudes. Also, the SPPs become more localized with increase of diagonal (δr) and off-diagonal disorder (δd) into the nanowire arrays. Controlling SSPs' localization in the nanowire array using their input amplitude provides a high functional sub-wavelength device that can be utilized in future applications of nanophotonics functions. • Nonlinear properties of system of embedded metallic nanowires in Kerr medium is studied. • Localization of surface plasmon polaritons (SPP) change with incident intensity. • Transverse effective beamwidth is controlled by input intensity. • Controlling of SPP provide functional sub-wavelength device. • The results can be utilized in future of nanophotonic functions. [ABSTRACT FROM AUTHOR]