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Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization. (English) Zbl 1342.78045
This paper is concerned with the study of some integral equations of autoconvolution type with continuous kernel functions in comples \(L^2\)-spaces over finite real intervals. In the first part of this paper it is studied the deautoconvolution problem with noisy data for amplitude and phase functions. Next, the authors are concerned with the phase retrieval problem. Several numerical simulations illustrate the results of this paper.

MSC:
78M30 Variational methods applied to problems in optics and electromagnetic theory
78A60 Lasers, masers, optical bistability, nonlinear optics
78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory
Software:
TIGRA
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