Reconstruction of refractive indices from spectral measurements of monodisperse aerosols

DOI10.1080/17415977.2016.1275614zbMath1392.78011arXiv1612.05834OpenAlexW2579557244MaRDI QIDQ4563463

Tobias Kyrion

Publication date: 1 June 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05834

zbMATH Keywords

nonlinear regressionMie theorynonlinear inverse problemnonlinear Tikhonov regularizationrefractive index reconstruction

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Diffraction, scattering (78A45) Numerical methods for inverse problems for integral equations (65R32) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Inverse problems for integral equations (45Q05)

Cites Work

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• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems
• Robust inversion methods for aerosol spectroscopy

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