Lu Da-Quan

Solitons supported by complex PT-symmetric Gaussian potentials

The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time-symmetric Gaussian complex potentials are reported. Fundamental solitons are stable not only in deep potentials but also in shallow potentials. Dipole and tripole solitons are stable only in deep potentials, and tripole solitons are stable in deeper potentials than for dipole solitons. The stable regions of solitons increase with increasing potential depth. The power of solitons increases with increasing propagation constant or decreasing modulation depth of the potentials.

Hollow Gaussian beams in strongly nonlocal nonlinear media

The propagation of hollow Gaussian beams in strongly nonlocal nonlinear media is studied in detail. Two analytical expressions are derived. For hollow Gaussian beams, the intensity distribution always evolves periodically. However the second-order moment beam width can keep invariant during propagation if the input power is equal to the critical power. The interaction of two hollow Gaussian beams and the vortical hollow Gaussian beams are also discussed. The vortical hollow Gaussian beams with an appropriate topological charge can keep their shapes invariant during propagation.

Dipole Solitons in Nonlinear Media with an Exponential-Decay Nonlocal Response

By applying the variational approach, the analytical expression of dipole solitons is obtained in nonlinear media with an exponential-decay nonlocal response. The relations of the soliton power versus the propagation constant and the soliton width are given. Some numerical simulations are carried out. The results show that the analytical expression is in excellent agreement with the numerical results for the strongly nonlocal case.

Interface solitons in thermal nonlinear media

We demonstrate the existence of fundamental and dipole interface solitons in one-dimensional thermal nonlinear media with a step in linear refractive index. Fundamental interface solitons are found to be always stable and the stability of dipole interface solitons depends on the difference in linear refractive index. The mass center of interface solitons always locates in the side with higher refractive index. The two intensity peaks of dipole interface solitons are unequal except under some specific conditions, which is different from their counterparts in uniform thermal nonlinear media.

Multiple-type solutions for multipole interface solitons in thermal nonlinear media

We address the existence of multipole interface solitons in one-dimensional thermal nonlinear media with a step in the linear refractive index at the sample center. It is found that there exist two types of solutions for tripole and quadrupole interface solitons. The two types of interface solitons have different profiles, beam widths, mass centers, and stability regions. For a given propagation constant, only one type of interface soliton is proved to be stable, while the other type can also survive over a long distance. In addition, three types of solutions for fifth-order interface solitons are found.

Spectrum-Induced Changes in Non-Paraxial Property of Ultrashort Pulsed Beam

A spatiotemporal non-paraxial correction to the paraxial solution of ultrashort pulsed beam is obtained by using the Fourier transform and the Taylor expansion. By studying the propagation of an isodiffracting pulsed Gaussian beam with different pulse shapes, we find that there are spectrum-induced changes in the non-paraxial propagation of the pulsed beam. We analyse the influence of pulse spectrum on the non-paraxial property of the ultrashort pulsed beam and explain it base on the paraxial approximation condition.

Influence of nonlocalization degree on the interaction between spatial dark solitons

The interaction between dark solitons in nonlocal self-defocusing media is investigated. Numerical results show that there is a critical condition for interaction between dark solitons in nonlocal self-defocusing medium. Under the critical condition, dark solitons will neither attract nor repell each other because the attractive force and repulsive force between them are identical. Beyound the critical condition, dark solitons may attract or repell each other depending on the nonlocalization degree and distance between them. The value of the critical condition is found.

Mutual-induced fractional Fourier transform in strongly nonlocal nonlinear medium

The effect of mutual-induced fractional Fourier transform (FRFT) between a weak signal beam and a strong pump beam in a strongly nonlocal nonlinear medium is described. The signal beam is an FRFT during propagation and the order of FRFT is dependent on the propagation distance and the power of the pump beam. When the propagation distance is fixed, the order of FRFT of the signal beam is proportional to the square root of the power of the pump beam. Mutual-induced FRFT is another method of light controlling light, and its properties contribute to the development of new type FRFT devices, optical information processing and optical imaging.