title: Asymptotic analysis of collision-induced timing shifts in return-to-zero quasi-linear systems with predispersion and postdispersion compensation.
abstract: An asymptotic method for calculating the collision-induced frequency and timing shifts for quasi-linear pulses in return-to-zero, wavelength-division multiplexed systems with predispersion and postdispersion compensation is developed. Predictions of the asymptotic theory agree well with quadrature and direct numerical simulations. Using this theory, computational savings of many orders of magnitude can be realized over direct numerical simulations.
authors.affiliation: Department of Applied Mathematics, University of Colorado at Boulder, Boulder, Colorado 80309-0526, USA. ahrensc@colorado.edu
authors.forename: Cory D
authors.initials: CD
authors.lastname: Ahrens
authors.forename: Mark J
authors.initials: MJ
authors.lastname: Ablowitz
authors.forename: Andrew
authors.initials: A
authors.lastname: Docherty
authors.forename: Oleg V
authors.initials: OV
authors.lastname: Sinkin
authors.forename: Vladimir
authors.initials: V
authors.lastname: Grigoryan
authors.forename: Curtis R
authors.initials: CR
authors.lastname: Menyuk