ASYMPTOTIC-BEHAVIOR OF RADIALLY SYMMETRICAL SELF-FOCUSED BEAMS

Radially symmetric self-focused beams near solitonlike solutions are s tudied in the framework of the nonlinear Schrodinger equation for phys ically relevant nonlinearities. From the numerical solutions, three ma in types of oscillations are identified, which are characterized by on e or more well-defined frequencies and by the presence or lack of the damping associated with radiation emission. Concepts borrowed from lin ear quantum mechanics are shown to provide many valuable insights into the observed behavior.