An Initial Research For Interaction Of Strongly Nonlocal Optical Spatial Solitons

In this paper, the evolution of two co-propagating optical beams in parallel, governed by the nonlocal nonlinear Schrodinger equation (NNLSE), is discussed in nonlocal Kerr media.The paper is organized as follows:Chapter 1, we present an overview of recent advances in the research of optical beam propagating in nonolocal nonlinear media and generalize the definition of strong nonlocality.Chapter 2, we simplify NNLSE to a new linear model under the condition of strongl nonlocality and obtain the analytical solution for two beams co-propagation through the principle of superposition. It is found that the phase of the two co-propagating beams is depended on their total power. As an example, we studied the co-propagation of two soliton beams with one's amplitude is much stronger than another. It is then found that the weaker (probe beam) can experience a very large phase shift within a rather short propagation distance by modulating the input power of the stronger (pump beam).Chapter 3, NNLSE is simulated for two beams propagation. The comparisons of analytical solutions of the model with numerical simulations of the NNLSE show that the model is of excellent accuracy in the case of strong nonlocality and is still valid even if the characteristic length of the material response function approaches about three times of the total spatial extent occupied by the two beams.Chaper 4, the numerical solution of NNLSE for the single beam propagation in the nonlocal kerr media is presented.The main achievement of the paper is that the NNLSE is simplified to a linear equation. It is found that we can controll a weak beam's phase to experience a very large phase shift within a rather short propagation distance by modulating the input power of a stronger soliton beam.