title: Numerical solver for supercontinuum generation in multimode optical fibers.
abstract: We present an approach for numerically solving the multimode generalized nonlinear Schrödinger equation (MM-GNLSE). We propose to transform the MM-GNLSE to a system of first-order ordinary differential equations (ODEs) that can then be solved using readily available ODE solvers, thus making modeling of pulse propagation in multimode fibers easier. The solver is verified for the simplest multimode case in which only the two orthogonal polarization states in a non-birefringent microstructured optical fiber are involved. Also, the nonlinear dynamics of the degree and state of spectral polarization are presented for this case.
authors.affiliation: Department of Applied Physics, Aalto University, P.O.B. 13500, FI-00076 Aalto, Finland.
authors.forename: Roman
authors.initials: R
authors.lastname: Khakimov
authors.forename: Igor
authors.initials: I
authors.lastname: Shavrin
authors.forename: Steffen
authors.initials: S
authors.lastname: Novotny
authors.forename: Matti
authors.initials: M
authors.lastname: Kaivola
authors.forename: Hanne
authors.initials: H
authors.lastname: Ludvigsen
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004867:Equipment Design; D019544:Equipment Failure Analysis; D008027:Light; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D055100:Optical Fibers; D012031:Refractometry / Q000295:instrumentation*; D012542:Scattering, Radiation