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Problems of High Frequency Diffraction by Elongated Bodies, Andronov


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Автор: Andronov
Название:  Problems of High Frequency Diffraction by Elongated Bodies
ISBN: 9789819912759
Издательство: Springer
Классификация:



ISBN-10: 981991275X
Обложка/Формат: Hardback
Страницы: 188
Вес: 0.47 кг.
Дата издания: 29.04.2023
Серия: Springer Series in Optical Sciences
Язык: English
Издание: 1st ed. 2023
Иллюстрации: 50 tables, color; 6 illustrations, color; 37 illustrations, black and white; xii, 188 p. 43 illus., 6 illus. in color.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Classical asymptotic expansions, while producing a good approximation for the diffracted fields in general, appear hardly applicable in the case of extremely elongated bodies. Thus, there are problems that are on the one hand too difficult for numerical solvers due to large system size, and on the other hand make the description with classical asymptotic methods hard. The book explains why this happens and suggests the way out. By defining the characteristics of a strongly elongated body it introduces a special class of asymptotic approximations, which are in some sense uniform with respect to the rate of body elongation. Chapter 1 briefly describes the results of V. A. Fock and further developments of his approach towards the problems of diffraction by elongated obstacles. It formulates the cases of moderately and strongly elongated bodies. The rest of the book describes the approach of special parabolic equations, which lead to new asymptotic approximations for the diffracted fields. Chapters 2, 3 and 4 discuss diffraction by bodies of elliptical shape: The elliptic cylinder with a strongly elongated cross section and prolate spheroid with a high aspect ratio. Chapter 5 generalizes the approach to some other shapes such as narrow cones and narrow hyperboloids. Mathematical formulas for the Whittaker functions widely used in the book are collected in the Appendix. The concise derivations are supplied with numerous test examples that compare asymptotic approximations with numerically computed fields and clarify the specifics of high frequency diffraction by strongly elongated bodies. The reference solutions presented in the book enable one to validate the newly developed numerical solvers.
Дополнительное описание: High-frequency diffraction and elongated bodies.- Diffraction by an elliptic cylinder.- Acoustic waves diffraction by spheroid.- Electromagnetic waves diffraction by spheroid.- Other strongly elongated shapes.



Diffraction, Fourier Optics and Imaging

Автор: Ersoy, Okan K.
Название: Diffraction, Fourier Optics and Imaging
ISBN: 0471238163 ISBN-13(EAN): 9780471238164
Издательство: Wiley
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Цена: 22326.00 р.
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Описание: Fourier and Diffractive Optics is a required course in electrical engineering and physics programs. Based upon Professor Ersoy`s class notes, Diffraction, Fourier Optics and Imaging is an innovative and comprehensive work, presenting both theory and applications using MATLAB in examples and exercises.

Inverse Problems of Wave Propagation and Diffraction

Автор: Guy Chavent; Pierre C. Sabatier
Название: Inverse Problems of Wave Propagation and Diffraction
ISBN: 366214154X ISBN-13(EAN): 9783662141540
Издательство: Springer
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Цена: 9756.00 р.
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Описание: This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.

X-Ray Diffraction Imaging of Biological Cells

Автор: Masayoshi Nakasako
Название: X-Ray Diffraction Imaging of Biological Cells
ISBN: 4431568670 ISBN-13(EAN): 9784431568674
Издательство: Springer
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Цена: 20733.00 р.
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Описание: In this book, the author describes the development of the experimental diffraction setup and structural analysis of non-crystalline particles from material science and biology. Recent advances in X-ray free electron laser (XFEL)-coherent X-ray diffraction imaging (CXDI) experiments allow for the structural analysis of non-crystalline particles to a resolution of 7 nm, and to a resolution of 20 nm for biological materials. Now XFEL-CXDI marks the dawn of a new era in structural analys of non-crystalline particles with dimensions larger than 100 nm, which was quite impossible in the 20th century. To conduct CXDI experiments in both synchrotron and XFEL facilities, the author has developed apparatuses, named KOTOBUKI-1 and TAKASAGO-6 for cryogenic diffraction experiments on frozen-hydrated non-crystalline particles at around 66 K. At the synchrotron facility, cryogenic diffraction experiments dramatically reduce radiation damage of specimen particles and allow tomography CXDI experiments. In addition, in XFEL experiments, non-crystalline particles scattered on thin support membranes and flash-cooled can be used to efficiently increase the rate of XFEL pulses. The rate, which depends on the number density of scattered particles and the size of X-ray beams, is currently 20-90%, probably the world record in XFEL-CXDI experiments. The experiment setups and results are introduced in this book. The author has also developed software suitable for efficiently processing of diffraction patterns and retrieving electron density maps of specimen particles based on the diffraction theory used in CXDI.

X-Ray Diffraction Imaging of Biological Cells

Автор: Nakasako
Название: X-Ray Diffraction Imaging of Biological Cells
ISBN: 4431566163 ISBN-13(EAN): 9784431566168
Издательство: Springer
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Цена: 20733.00 р.
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Описание: In this book, the author describes the development of the experimental diffraction setup and structural analysis of non-crystalline particles from material science and biology. Recent advances in X-ray free electron laser (XFEL)-coherent X-ray diffraction imaging (CXDI) experiments allow for the structural analysis of non-crystalline particles to a resolution of 7 nm, and to a resolution of 20 nm for biological materials. Now XFEL-CXDI marks the dawn of a new era in structural analys of non-crystalline particles with dimensions larger than 100 nm, which was quite impossible in the 20th century. To conduct CXDI experiments in both synchrotron and XFEL facilities, the author has developed apparatuses, named KOTOBUKI-1 and TAKASAGO-6 for cryogenic diffraction experiments on frozen-hydrated non-crystalline particles at around 66 K. At the synchrotron facility, cryogenic diffraction experiments dramatically reduce radiation damage of specimen particles and allow tomography CXDI experiments. In addition, in XFEL experiments, non-crystalline particles scattered on thin support membranes and flash-cooled can be used to efficiently increase the rate of XFEL pulses. The rate, which depends on the number density of scattered particles and the size of X-ray beams, is currently 20-90%, probably the world record in XFEL-CXDI experiments. The experiment setups and results are introduced in this book. The author has also developed software suitable for efficiently processing of diffraction patterns and retrieving electron density maps of specimen particles based on the diffraction theory used in CXDI.

Diffraction Radiation from Relativistic Particles

Автор: Alexander Potylitsyn; Mikhail Ivanovich Ryazanov;
Название: Diffraction Radiation from Relativistic Particles
ISBN: 3642265464 ISBN-13(EAN): 9783642265464
Издательство: Springer
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Цена: 18294.00 р.
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Описание: This book deals with diffraction radiation, which implies the boundary problems of electromagnetic radiation theory. It presents different analytical models of diffraction radiation and results of recent experimental studies.

X-Ray Multiple-Wave Diffraction

Автор: Shih-Lin Chang
Название: X-Ray Multiple-Wave Diffraction
ISBN: 3642059473 ISBN-13(EAN): 9783642059476
Издательство: Springer
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Цена: 22796.00 р.
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Описание: X-ray multiple-wave diffraction, sometimes called multiple diffraction or N-beam diffraction, results from the scattering of X-rays from periodic two- or higher-dimensional structures, like 2-d and 3-d crystals and even quasi- crystals.

IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity

Автор: I. David Abrahams; Paul A Martin; Michael J. Simon
Название: IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity
ISBN: 9048160103 ISBN-13(EAN): 9789048160105
Издательство: Springer
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Цена: 26711.00 р.
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Описание: Proceedings of the IUTAM Symposium held in Manchester, United Kingdom, 16-20 July 2000

IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity

Автор: I. David Abrahams; Paul A Martin; Michael J. Simon
Название: IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity
ISBN: 1402005903 ISBN-13(EAN): 9781402005909
Издательство: Springer
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Цена: 26711.00 р.
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Описание: Summarises the developments in diffraction theory as reported at the IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity held in Manchester, England, in July 2000. The topics covered include surface water waves and other geophysical waves, diffraction and propagation of acoustic waves, and more.

Local Structure from Diffraction

Автор: S.J.L. Billinge; M.F. Thorpe
Название: Local Structure from Diffraction
ISBN: 0306458276 ISBN-13(EAN): 9780306458279
Издательство: Springer
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Цена: 25077.00 р.
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Описание: This series of books, which is published at the rate of about one per year, addresses fundamental problems in materials science. The contents cover a broad range of topics from small clusters of atoms to engineering materials and involve chemistry, physics, materials science and engineering, with length scales ranging from ngstroms up to millimeters. The emphasis is on basic science rather than on applications. Each book focuses on a single area of current interest and brings together leading experts to give an up-to-date discussion of their work and the work of others. Each article contains enough references that the interested reader can access the relevant literature. Thanks are given to the Center for Fundamental Materials Research at Michigan State University for supporting this series. M.F. Thorpe, Series Editor E-mail: thorpe @ pa.msu.edu East Lansing, Michigan PREFACE One of the most challenging problems in the study of structure is to characterize the atomic short-range order in materials. Long-range order can be determined with a high degree of accuracy by analyzing Bragg peak positions and intensities in data from single crystals or powders. However, information about short-range order is contained in the diffuse scattering intensity. This is difficult to analyze because it is low in absolute intensity (though the integrated intensity may be significant) and widely spread in reciprocal space.

Computer Simulation Tools for X-ray Analysis

Автор: S?rgio Luiz Morelh?o
Название: Computer Simulation Tools for X-ray Analysis
ISBN: 3319372963 ISBN-13(EAN): 9783319372969
Издательство: Springer
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Цена: 7978.00 р.
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Описание: The main goal of this book is to break down the huge barrier of difficulties faced by beginners from many fields (Engineering, Physics, Chemistry, Biology, Medicine, Material Science, etc.) in using X-rays as an analytical tool in their research.

Diffraction Optics of Complex-Structured Periodic Media

Автор: Vladimir Belyakov
Название: Diffraction Optics of Complex-Structured Periodic Media
ISBN: 3319434810 ISBN-13(EAN): 9783319434810
Издательство: Springer
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Цена: 15855.00 р.
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Описание: This book presents recent theoretical and experimental results of localized optical modes and low-threshold lasing in spiral photonic media. Efficient applications of localized modes for low-threshold lasing at the frequencies of localized modes are a central topic of the book's new chapters. Attention is paid to the analytical approach to the problem. The book focuses on one of the most extensively studied media in this field, cholesteric liquid crystals. The chosen model, in the absence of dielectric interfaces, allows to remove the problem of polarization mixing at surfaces, layers and defect structures. It allows to reduce the corresponding equations to the equations for light of diffracting polarization only. The problem concentrates then on the edge and defect optical modes. The possibility to reduce the lasing threshold due to an anomalously strong absorption effect is presented theoretically for distributed feedback lasing. It is shown that a minimum of the threshold-pumping wave intensity can be reached for the pumping wave frequency coinciding with the localized mode frequency (what can be reached for a pumping wave propagating at a certain angle to the helical axes). Analytic expressions for transmission and reflection coefficients are presented. In the present second edition, experimental observations of theoretically revealed phenomena in spiral photonic media are discussed. The main results obtained for spiral media are qualitatively valid for photonic crystals of any nature and therefore may be applied as a guide to investigations of other photonic crystals where the corresponding theory is more complicated and demands a numerical approach. It is demonstrated that many optical phenomena occurring at the frequencies of localized modes reveal unusual properties which can be used for efficient applications of the corresponding phenomena, efficient frequency conversion and low threshold lasing, e.g. For the convenience of the reader, an introduction is given to conventional linear and nonlinear optics of structured periodic media. This book is valuable to researchers, postgraduate, and graduate students active in theoretical and experimental physics in the field of interaction of radiation with condensed matter.

Self-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters

Автор: Lakshminarayan Hazra; Pubali Mukherjee
Название: Self-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters
ISBN: 9811028087 ISBN-13(EAN): 9789811028083
Издательство: Springer
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Цена: 6707.00 р.
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Описание: The book explains the classification of a set of Walsh functions into distinct self-similar groups and subgroups, where the members of each subgroup possess distinct self-similar structures.


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