| Abstract: | Collisions of spatial solitons occurring in the nonlinearSchröinger equation with harmonic potential are studied, using conservation laws and the split-step Fourier method. We find an analytical solution for the separation distance between the spatial solitons in an inhomogeneous nonlinear mediumwhen the light beam is self-trapped in the transverse dimension. In the self-focusing nonlinear media the spatial solitons can be transmitted stably, and the interaction between spatial solitons is enhanced due to the linear focusing effect (and also diminished for the linear defocusing effect). In the self-defocusing nonlinear media, in the absence of self-trapping or in the presence of linear self-defocusing, notransmission of stable spatial solitons is possible. However, in such mediathe linear focusing effect can be exactly compensated, and the spatialsolitons can propagate through. |
