Propagation dynamics of lossy quadrupole breather in strongly nonlocal nonlinear media

The propagation dynamics of lossy quadru-pole breather in strongly nonlocal nonlinear media are studied by variational method. The approximate evolution equation of several important parameters describing the transmission characteristics of quadrupole breather is obtained analytically. The characteristics of oscillating transmission are explained physically by analogy with classical mechanics. The numerical simulation is carried out to illustrate the accuracy of the analytical solution, and it is found that within a certain propagation distance, the degree of nonlocal is larger, and the degree of agreement between analytical and numerical solutions is higher. The evolution characteristics of beam width, wavefront curvature, and light intensity are analyzed by selecting appropriate nonlocal degrees, incident power, and loss coefficients. The media losses must be considered for the beam propagation in actual physical systems. Therefore, the absorption effect of light media on beam energy is considered, the attenuation characteristics of quadrupole beam intensity under different incident powers are obtained, and the soliton power with relatively high information transmission accuracy. Our theoretical analysis further improves and enriches the soliton theory, and will pave the way for the experimental observation of quadrupole solitons in nonlocal media.