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Inferring the time-dependent complex Ginzburg-Landau equation from modulus data
Rotha P Yu1, David M Paganin, Michael J Morgan
1School of Physics, Monash University, Victoria 3800, Australia.
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.
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