Recently it was shown that in quasi-phase-matched quadratic media the average intensities are subject to an induced Kerr effect. We analytically study the influence of this induced cubic nonlinearity on the amplitude and phase modulation of the fundamental wave and predict efficient all-optical switching.

We demonstrate two-dimensional spatial solitons excited by near-infrared picosecond pulses in Kerr-like heavy metal oxide glasses with a nonlinearity one order of magnitude larger than in fused silica. Solitons were obtained at 820 nm owing to the presence of multiphoton absorption, which prevented catastrophic collapse.

We derive a CW theory for optical-fiber photon-pair sources, including the effect of non-zero response time of the fiber’s Kerr nonlinearity. We also include the effects of realistic transmission and detection losses. This theory predicts stronger photon-number correlations than seen experimentally with a pulsed pump, showing the need for development of a pulsed pump theory.

Biswas and Milovic proposed a generalized model for the NLSE that accounts for several imperfections in the fiber during long distance transmission of these pulses. This paper studies the exact solution of the BiswasMilovic equation with Kerr law nonlinearity by a new efficient method. The results reveal that the method is explicit, effective, and easy to use.

We show that, in a coherent two-level optical amplifier with Kerr nonlinearity and linear loss, any weak seed pulse evolves into a fixed powerful linearly chirped pulse with quasi-parabolic shape. This process is associated with a transition from the incoherent into the coherent amplification regime, thus enabling in practice the generation of pulses with a spectrum wider than the linear gain b...

Using the numerical solution of the nonlinear Schrödinger equation and a variational method, it is shown that ( 3+1 ) -dimensional spatiotemporal optical solitons, known as light bullets, can be stabilized in a layered Kerr medium with sign-changing nonlinearity along the propagation direction.

We investigate families of optical solitons supported by two-dimensional disordered lattices. The linear modes of the system are identified, and their eigenvalues are arranged in a band structure. Introducing Kerr nonlinearity, we find that families of solitons originate from linear modes. Such solutions, depending on the eigenvalue of the supporting linear mode, as the power increases may beco...

We study the evolution of dark spatial solitons by chi((2)): chi((2)) cascaded nonlinearity. The generation and evolution of solitons pairs by the optical branching effect is investigated. It is shown that the number of solitons pairs and the transverse velocity of a given pair depend on the parameters of the input beam. We also investigate the hollows generated in a beam with a uniform backgro...

We exploit theoretically the occurrence and tunability of photonic Bloch oscillations (PBOs) in one-dimensional photonic crystals (PCs) containing nonlinear composites. Because of the enhanced third-order nonlinearity (Kerr-type nonlinearity) of composites, photons undergo oscillations inside tilted photonic bands, which are achieved by the application of graded external-pump electric fields on...

We derive coupled nonlinear Schrödinger equation (CNLSE) for arbitrary polarized light propagation in single-mode fiber. Considering a weak nonlinearity which is connected with Kerr effect, we give explicit expressions for nonlinear constants via integrals of Bessel functions. The method of projecting we use allows a direct generalization to multi-mode fiber case.