title: Inferring the time-dependent complex Ginzburg-Landau equation from modulus data.
abstract: We present a formalism for inferring the equation of evolution of a complex wave field that is known to obey an otherwise unspecified -dimensional time-dependent complex Ginzburg-Landau equation, given field moduli over various closely spaced planes. The phase of the complex wave field is retrieved via a noninterferometric method, and all terms in the equation of evolution are determined using only the magnitude of the complex wave field. The formalism is tested using simulated data for a generalized nonlinear system with a single-component complex wave field. The method can be generalized to multicomponent complex fields.
authors.affiliation: School of Physics, Monash University, Victoria 3800, Australia.
authors.forename: Rotha P
authors.initials: RP
authors.lastname: Yu
authors.forename: David M
authors.initials: DM
authors.lastname: Paganin
authors.forename: Michael J
authors.initials: MJ
authors.lastname: Morgan