title: Nonparaxial spatial solitons and propagation-invariant pattern solutions in optical Kerr media.
abstract: We investigate nonlinear propagation in the presence of the optical Kerr effect by relying on a rigorous generalization of the standard parabolic equation that includes nonparaxial and vectorial terms. We show that, in the (1 + 1)-D case, both soliton and propagation-invariant pattern solutions exist (while the standard hyperbolic-secant function is not a solution).
authors.affiliation: California Institute of Technology 128-95, Pasadena, California 91125, USA. bcross@caltech.edu
authors.forename: Bruno
authors.initials: B
authors.lastname: Crosignani
authors.forename: Amnon
authors.initials: A
authors.lastname: Yariv
authors.forename: Shayan
authors.initials: S
authors.lastname: Mookherjea