Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization

DOI10.1088/0266-5611/32/3/035002zbMath1342.78045arXiv1508.00701OpenAlexW3102118191MaRDI QIDQ2807460

Steven K. Burger, Günter Steinmeyer, Stephan W. Anzengruber, Bernd Hofmann

Publication date: 25 May 2016

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00701

zbMATH Keywords

phase retrieval NURBS deautoconvolution regularization: ill-posed problem SD-SPIDER TIGRA

Mathematics Subject Classification ID

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

Related Items (8)

Nesterov’s accelerated gradient method for nonlinear ill-posed problems with a locally convex residual functional ⋮ On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case ⋮ A numerical comparison of some heuristic stopping rules for nonlinear Landweber iteration ⋮ Deautoconvolution in the two-dimensional case ⋮ Multichannel blind deconvolution via maximum likelihood estimator: application in neural recordings ⋮ Existence of variational source conditions for nonlinear inverse problems in Banach spaces ⋮ Non-convex regularization of bilinear and quadratic inverse problems by tensorial lifting ⋮ Tensor-free proximal methods for lifted bilinear/quadratic inverse problems with applications to phase retrieval

Uses Software

TIGRA

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