Phase retrieval problems in x-ray physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Phase retrieval problems in x-ray physics write by Carolin Homann. This book was released on 2015. Phase retrieval problems in x-ray physics available in PDF, EPUB and Kindle. In phase retrieval problems that occur in imaging by coherent x-ray diffraction, one tries to reconstruct information about a sample of interest from possibly noisy intensity measurements of the wave fi eld traversing the sample. The mathematical formulation of these problems bases on some assumptions. Usually one of them is that the x-ray wave fi eld is generated by a point source. In order to address this very idealized assumption, it is common to perform a data preprocessing step, the so-called empty beam correction. Within this work, we study the validity of this approach by presenting a quantitative error estimate. Moreover, in order to solve these phase retrieval problems, we want to incorporate a priori knowledge about the structure of the noise and the solution into the reconstruction process. For this reason, the application of a problem adapted iteratively regularized Newton-type method becomes particularly attractive. This method includes the solution of a convex minimization problem in each iteration step. We present a method for solving general optimization problems of this form. Our method is a generalization of a commonly used algorithm which makes it efficiently applicable to a wide class of problems. We also proof convergence results and show the performance of our method by numerical examples.
Nanoscale Photonic Imaging
Nanoscale Photonic Imaging - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nanoscale Photonic Imaging write by Tim Salditt. This book was released on 2020-06-09. Nanoscale Photonic Imaging available in PDF, EPUB and Kindle. This open access book, edited and authored by a team of world-leading researchers, provides a broad overview of advanced photonic methods for nanoscale visualization, as well as describing a range of fascinating in-depth studies. Introductory chapters cover the most relevant physics and basic methods that young researchers need to master in order to work effectively in the field of nanoscale photonic imaging, from physical first principles, to instrumentation, to mathematical foundations of imaging and data analysis. Subsequent chapters demonstrate how these cutting edge methods are applied to a variety of systems, including complex fluids and biomolecular systems, for visualizing their structure and dynamics, in space and on timescales extending over many orders of magnitude down to the femtosecond range. Progress in nanoscale photonic imaging in Göttingen has been the sum total of more than a decade of work by a wide range of scientists and mathematicians across disciplines, working together in a vibrant collaboration of a kind rarely matched. This volume presents the highlights of their research achievements and serves as a record of the unique and remarkable constellation of contributors, as well as looking ahead at the future prospects in this field. It will serve not only as a useful reference for experienced researchers but also as a valuable point of entry for newcomers.
Phase retrieval problems in x-ray physics: from modeling to efficient algorithms
Phase retrieval problems in x-ray physics: from modeling to efficient algorithms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Phase retrieval problems in x-ray physics: from modeling to efficient algorithms write by Carolin Homann. This book was released on 2015. Phase retrieval problems in x-ray physics: from modeling to efficient algorithms available in PDF, EPUB and Kindle. In phase retrieval problems that occur in imaging by coherent x-ray diffraction, one tries to reconstruct information about a sample of interest from possibly noisy intensity measurements of the wave fi eld traversing the sample. The mathematical formulation of these problems bases on some assumptions. Usually one of them is that the x-ray wave fi eld is generated by a point source. In order to address this very idealized assumption, it is common to perform a data preprocessing step, the so-called empty beam correction. Within this work, we study the validity of this approach by presenting a quantitative error estimate. Moreover, in order to solve these phase retrieval problems, we want to incorporate a priori knowledge about the structure of the noise and the solution into the reconstruction process. For this reason, the application of a problem adapted iteratively regularized Newton-type method becomes particularly attractive. This method includes the solution of a convex minimization problem in each iteration step. We present a method for solving general optimization problems of this form. Our method is a generalization of a commonly used algorithm which makes it efficiently applicable to a wide class of problems. We also proof convergence results and show the performance of our method by numerical examples.
Coherent X-Ray Optics
Coherent X-Ray Optics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Coherent X-Ray Optics write by David Paganin. This book was released on 2006-01-12. Coherent X-Ray Optics available in PDF, EPUB and Kindle. X-ray optics is undergoing a renaissance, which may be paralleled to that experienced by visible-light optics following the invention of the laser. The associated surge of activity in "coherent" x-ray optics has been documented in this monograph, the first of its type in the field.
Advances in Imaging and Electron Physics
Advances in Imaging and Electron Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Imaging and Electron Physics write by . This book was released on 2011-09-06. Advances in Imaging and Electron Physics available in PDF, EPUB and Kindle. Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. Publication of this 150th volume is an event to be celebrated and, to mark the occasion, the editor has brought together leaders of some of the main themes of past and hopefully of future volumes: electron microscopy, since Ladislaus Marton was one of the pioneers; mathematical morphology, which has often appeared in this series and also fills a supplement, so often cited that it usually appears just as "Academic Press, 1994 (H.J.A.M. Heijmans, Morphological Image Operators, Supplement 25, 1994) with no mention of the Advances; ptychography, a highly original approach to the phase problem, the latter also the subject of a much cited Supplement (W.O. Saxton, 'Computer Techniques for Image Processing in Electron Microscopy', Supplement 10, 1978); and wavelets, which have become a subject in their own right, not just a tool in image processing. - Updated with contributions from leading international scholars and industry experts - Discusses hot topic areas and presents current and future research trends - Invaluable reference and guide for physicists, engineers and mathematicians
