Atmospheric turbulence profiling with unknown power spectral density

DOI10.1088/1361-6420/aaaf88zbMath1390.78027arXiv1707.02157OpenAlexW3101132029MaRDI QIDQ4638167

Stefan Kindermann, Jonatan Lehtonen, Ronny Ramlau, Tapio Helin

Publication date: 3 May 2018

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

Full work available at URL: https://arxiv.org/abs/1707.02157

zbMATH Keywords

inverse problemintegral equationadaptive opticsSLODARturbulence profiling

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Quadratic programming (90C20) Numerical methods for integral equations (65R20) Statistical turbulence modeling (76F55) Numerical methods for discrete and fast Fourier transforms (65T50) Meteorology and atmospheric physics (86A10) Technical applications of optics and electromagnetic theory (78A55) Waves and radiation in optics and electromagnetic theory (78A40) Optimization problems in optics and electromagnetic theory (78M50)

Related Items (4)

The first 100 years of the Radon transform ⋮ Correlation imaging in inverse scattering is tomography on probability distributions ⋮ An inverse random source problem in a stochastic fractional diffusion equation ⋮ Estimating the memory parameter for potentially non-linear and non-Gaussian time series with wavelets

Uses Software

• Matlab

Cites Work

• Statistical and computational inverse problems.
• Towards analytical model optimization in atmospheric tomography
• Sparsity-promoting Bayesian inversion
• Inverse problems in astronomical adaptive optics
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• Models of the scalar spectrum for turbulent advection
• A Fast Method for the Numerical Evaluation of Continuous Fourier and Laplace Transforms
• Fast Computation of Multidimensional Fourier Integrals
• Linear integral equations

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