5 research outputs found
Inferring the time-dependent complex Ginzburg-Landau equation from modulus data
We present a formalism for inferring the equation of evolution of a complex
wave field that is known to obey an otherwise unspecified (2+1)-dimensional
time-dependent complex Ginzburg-Landau equation, given field moduli over three
closely-spaced planes. The phase of the complex wave field is retrieved via a
non-interferometric 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
multi-component complex fields.Comment: 9 pages, 9 figure
Numerical simulations of topological defects in R²⁺¹, R³⁺¹ and R⁴⁺¹ spacetime
Abstract not availabl