Study On The Propagation Properties Of Ary Beam In Kerr Medium

Diffraction-free beams, a special type of light beam, share the property that their cross-sectional intensity distributions remain unchanged when they propagate in the free space. The optical Airy beam as a kind of non-diffraction beam it not only shares the same diffraction-free as the conventional diffraction-free beams, but also enjoys its special property-self-bending and self-healing propagation. Kerr medium, that dielectric polarization and electric field intensity into a nonlinear, is a kind of nonlinear medium. When the Airy beam transfer in the medium, due to the different refractive index the field intensity distribution of the corresponding is also different. In recent years, the diffraction-free Airy beams have been studied extensively in the free-space and widely used in optical micromanipulation and etc.In this paper, we at first explore the concept, basic properties of the Airy beam and the effect of Kerr medium on an Airy beam. By using the split-step Fourier method (SSFM), we simulate and analyze the propagation of truncated temporal Airy pulses observed soliton shedding in a single mode fiber in the presence of self-phase modulation and anomalous dispersion. We studied the effects of initial incident light power and truncation coefficient on the properties of the emergent soliton and accelerating wavefront. The results show that the larger the initial incident power and the truncation coefficient, the smaller the soliton pulse width, the modulation depth and the phase of the oscillation, and the sooner the peak time position appear. When the incident power and the truncation coefficient value are fixed, the accelerating wavefront both in the linear and the nonlinear case shows a parabolic trajectory, and pulse intensity exhibit different oscillatory behavior. In addition, the energy distribution of the accelerating wavefront is different from that of the linear and nonlinear transmission. For all initial incident light power values, the energy evolution of the linear propagations coincides to one cure that asymptotically approaches the value of half launched pulse energy. For the nonlinear propagations we clearly see that as the incident power and the truncation coefficient value grows the fractional energy is decreasing.At last, by analyzing the nonlinear Schrodinger equation constructed a two Airy beams in-phase or out-of-phase input medium of expression. To investigate the influence of the incident light interval and amplitude intensity on the interaction of two Airy beams, when that beam transfer in the medium. The results show that if the interval between two incident beams is large relative to the width of their main lobes, the generated soliton pairs just propagate individually and do not interact. However, if the interval is comparable to the widths of the main lobes, two in-phase Airy beams transmission attract each other when the amplitude intensity E=3; and when E=4, the two beams become mutually exclusive instead of the initial attract each other. If the two beams transmission in out-of-phase, they always maintain reply but the transmission is unstable.