Inverse source problems optics (24 resultados)

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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The book collects and contributes new results on the theory and practice of ill-posed inverseproblems.Different notions of ill-posedness in Banach spaces for linear and nonlinear inverse problems arediscussed not only in standard settings but also in situations up to now not covered by the literature.Especially, ill-posedness of linear operators with uncomplemented null spaces is examined.Tools for convergence rate analysis of regularization methods are extended to a wider field ofapplicability. It is shown that the tool known as variational source condition always yieldsconvergence rate results.A theory for nonlinear inverse problems with quadratic structure is developed as well ascorresponding regularization methods. The new methods are applied to a difficult inverse problemfrom laser optics.Sparsity promoting regularization is examined in detail from a Banach space point of view. Extensiveconvergence analysis reveals new insights into the behavior of Tikhonov-type regularization withsparsity enforcing penalty.…

Taschenbuch. Condición: Neu. Variational Source Conditions, Quadratic Inverse Problems, Sparsity Promoting Regularization | New Results in Modern Theory of Inverse Problems and an Application in Laser Optics | Jens Flemming | Taschenbuch | Frontiers in Mathematics | xi | Englisch | 2018 | Birkhäuser | EAN 9783319952635 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - H. P. Baltes We begin the introductory chapter with a general definition of the inverse optical problem. Next, we discuss the role of prior knowledge and the questions of uniqueness and stability. We then review the various specific inverse problems in optics as well as the contents of Chapters 2 to 6. Finally, we summarize the notation in co herence theory. 1. 1 Direct and Inverse Problems in Optical Physics The 'direct' or 'normal' problem in optical physics is to :Jredict the emission or propagation of radiation on the basis of a known constitution of sources or scat terers. The 'inverse' or 'indirect' problem is to deduce features of sources or scatterers from the detection of radiation. An intuitive solution of the optical inverse problem is commonplace: we infer the size, shape, surface texture, and ma terial of objects from their scattering and absorption of light as detected by our eyes. Intuition has to give way to mathematical reconstruction as soon as we wish to analyze optical data beyond their visual appearance. Examples are the extrapola tion and deblurring of optical images, the reconstruction from intuitively inacces sible data such as defocused images and interferograms, or the search for information that is 'lost' in the detection process such as the phase. Following CHADAN and SABATIER [1. 1], a general definition of inverse optical problems can be attempted as follows. We describe the sources and scatterers by the set (1.…

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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -H. P. Baltes We begin the introductory chapter with a general definition of the inverse optical problem. Next, we discuss the role of prior knowledge and the questions of uniqueness and stability. We then review the various specific inverse problems in optics as well as the contents of Chapters 2 to 6. Finally, we summarize the notation in co herence theory. 1. 1 Direct and Inverse Problems in Optical Physics The 'direct' or 'normal' problem in optical physics is to :Jredict the emission or propagation of radiation on the basis of a known constitution of sources or scat terers. The 'inverse' or 'indirect' problem is to deduce features of sources or scatterers from the detection of radiation. An intuitive solution of the optical inverse problem is commonplace: we infer the size, shape, surface texture, and ma terial of objects from their scattering and absorption of light as detected by our eyes. Intuition has to give way to mathematical reconstruction as soon as we wish to analyze optical data beyond their visual appearance. Examples are the extrapola tion and deblurring of optical images, the reconstruction from intuitively inacces sible data such as defocused images and interferograms, or the search for information that is 'lost' in the detection process such as the phase. Following CHADAN and SABATIER [1. 1], a general definition of inverse optical problems can be attempted as follows. We describe the sources and scatterers by the set (1. 220 pp. Englisch.…

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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -H. P. Baltes We begin the introductory chapter with a general definition of the inverse optical problem. Next, we discuss the role of prior knowledge and the questions of uniqueness and stability. We then review the various specific inverse problems in optics as well as the contents of Chapters 2 to 6. Finally, we summarize the notation in co herence theory. 1. 1 Direct and Inverse Problems in Optical Physics The 'direct' or 'normal' problem in optical physics is to :Jredict the emission or propagation of radiation on the basis of a known constitution of sources or scat terers. The 'inverse' or 'indirect' problem is to deduce features of sources or scatterers from the detection of radiation. An intuitive solution of the optical inverse problem is commonplace: we infer the size, shape, surface texture, and ma terial of objects from their scattering and absorption of light as detected by our eyes. Intuition has to give way to mathematical reconstruction as soon as we wish to analyze optical data beyond their visual appearance. Examples are the extrapola tion and deblurring of optical images, the reconstruction from intuitively inacces sible data such as defocused images and interferograms, or the search for information that is 'lost' in the detection process such as the phase. Following CHADAN and SABATIER [1. 1], a general definition of inverse optical problems can be attempted as follows. We describe the sources and scatterers by the set (1.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 220 pp. Englisch.…