Propagation properties of quadrupole breather in nonlinear media with a nonlocal exponential-decay response

Abstract

We investigate the propagation properties of quadrupole breather in nonlinear media with a nonlocal exponential-decay response by using the variational method and the equivalent particle method. The analytical solution of the quadrupole breather is obtained. The breather beamwidth, the wavefront curvature, the intensity pattern, and the comparisons between the analytical quadrupole breather solution and the numerical simulations of the nonlocal nonlinear Schrödinger equation in the case of highly nonlocal nonlinearity are analyzed. The results show that the analytical solution is in good agreement with the numerical simulations at near-critical power incidence. Furthermore, we find that the envelope of the difference value curve between the analytical solution and the numerical simulation can be described as a logarithmic function under different input powers. It is useful for further understanding the propagation properties of optical breathers in nonlocal nonlinear media and might be of interest to the applications in error analysis and precision measurements.