STATIONARY TRAPPING OF LIGHT-BEAMS IN BULK 2ND-ORDER NONLINEAR MEDIA

The mutual trapping of fundamental and second harmonic, continuous-wav e light beams propagating in bulk second-order nonlinear media is stud ied. We find numerically families of stationary, radially symmetric so litary waves. The transverse profiles of the trapped beams, their scal ing properties, and their stability under propagation are investigated as a function of the total power and the linear wavevector-mismatch b etween the waves. We show that at phase-matching mutually trapped soli tary waves exist for any total wave power, whereas they exist only abo ve a threshold power for both positive and negative phase-mismatches.