Effect and control of loss for the beam propagation in one-dimension optical lattice

The paper investigate the effect and control of loss for the beam propagation in Kerr-type nonlinear optical lattices, and the loss compensation by the longitudinal depth of the modulation analytically and numerically. It is shown that media loss reduce the peak power of lattice soliton, decreasing the nonlinear effects, disturbing the balance between the diffraction and nonlinear effects. As a result, lattice soliton can't propagate steadily and optical beam dispersed finally. It is possible that proper changing the longitudinal lattice depth can complete suppression of the loss's influence and the beam can be regenerated successfully. There are analogy characteristic in the action of periodic lattice's potential of optical and nonlinear. The periodic potential offers the better method to control the lattice soliton formation and propagation.