Self-similarity in Walsh Functions and in the Farfield Diffraction Patterns of Radial Walsh Filters PDF Download
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Author: Lakshminarayan Hazra
Publisher: Springer
ISBN: 9811028095
Category : Technology & Engineering
Languages : en
Pages : 89
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Book Description
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. The observations on self-similarity presented provide valuable clues to tackling the inverse problem of synthesis of phase filters. Self-similarity is observed in the far-field diffraction patterns of the corresponding self-similar filters. Walsh functions form a closed set of orthogonal functions over a prespecified interval, each function taking merely one constant value (either +1 or −1) in each of a finite number of subintervals into which the entire interval is divided. The order of a Walsh function is equal to the number of zero crossings within the interval. Walsh functions are extensively used in communication theory and microwave engineering, as well as in the field of digital signal processing. Walsh filters, derived from the Walsh functions, have opened up new vistas. They take on values, either 0 or π phase, corresponding to +1 or -1 of the Walsh function value.
Author: Lakshminarayan Hazra
Publisher: Springer
ISBN: 9811028095
Category : Technology & Engineering
Languages : en
Pages : 89
Get Book Here
Book Description
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. The observations on self-similarity presented provide valuable clues to tackling the inverse problem of synthesis of phase filters. Self-similarity is observed in the far-field diffraction patterns of the corresponding self-similar filters. Walsh functions form a closed set of orthogonal functions over a prespecified interval, each function taking merely one constant value (either +1 or −1) in each of a finite number of subintervals into which the entire interval is divided. The order of a Walsh function is equal to the number of zero crossings within the interval. Walsh functions are extensively used in communication theory and microwave engineering, as well as in the field of digital signal processing. Walsh filters, derived from the Walsh functions, have opened up new vistas. They take on values, either 0 or π phase, corresponding to +1 or -1 of the Walsh function value.
Author: Indrani Bhattacharya
Publisher: Springer Nature
ISBN: 9811560994
Category : Science
Languages : en
Pages : 123
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Book Description
This book explores the possibility of using azimuthal Walsh filters as an effective tool for manipulating far-field diffraction characteristics near the focal plane of rotationally symmetric imaging systems. It discusses the generation and synthesis of azimuthal Walsh filters, and explores the inherent self-similarity presented in various orders of these filters, classifying them into self-similar groups and sub-groups. Further, it demonstrates that azimuthal Walsh filters possess a unique rotational self-similarity exhibited among adjacent orders. Serving as an atlas of diffraction phenomena with pupil functions represented by azimuthal Walsh filters of different orders, this book describes how orthogonality and self-similarity of these filters could be harnessed to sculpture 2D and 3D light distributions near the focus.
Author:
Publisher:
ISBN:
Category : Optics
Languages : en
Pages : 1144
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Book Description
Includes a directory of members in one issue each year.
Author:
Publisher:
ISBN:
Category : Imaging systems
Languages : en
Pages : 260
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Book Description
Author: Indrani Bhattacharya
Publisher: Springer
ISBN: 9789811560989
Category : Science
Languages : en
Pages : 114
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Book Description
This book explores the possibility of using azimuthal Walsh filters as an effective tool for manipulating far-field diffraction characteristics near the focal plane of rotationally symmetric imaging systems. It discusses the generation and synthesis of azimuthal Walsh filters, and explores the inherent self-similarity presented in various orders of these filters, classifying them into self-similar groups and sub-groups. Further, it demonstrates that azimuthal Walsh filters possess a unique rotational self-similarity exhibited among adjacent orders. Serving as an atlas of diffraction phenomena with pupil functions represented by azimuthal Walsh filters of different orders, this book describes how orthogonality and self-similarity of these filters could be harnessed to sculpture 2D and 3D light distributions near the focus.
Author: Tuan Vo-Dinh
Publisher: Society of Photo Optical
ISBN: 9780819452351
Category : Technology & Engineering
Languages : en
Pages : 160
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Book Description
Includes Proceedings Vol. 7821
Author: Heinrich Hora
Publisher:
ISBN: 9781468420869
Category : Laser beams
Languages : en
Pages : 0
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Book Description
Author: Josef F. Bille
Publisher: Springer
ISBN: 3030166384
Category : Medical
Languages : en
Pages : 411
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Book Description
This open access book provides a comprehensive overview of the application of the newest laser and microscope/ophthalmoscope technology in the field of high resolution imaging in microscopy and ophthalmology. Starting by describing High-Resolution 3D Light Microscopy with STED and RESOLFT, the book goes on to cover retinal and anterior segment imaging and image-guided treatment and also discusses the development of adaptive optics in vision science and ophthalmology. Using an interdisciplinary approach, the reader will learn about the latest developments and most up to date technology in the field and how these translate to a medical setting. High Resolution Imaging in Microscopy and Ophthalmology – New Frontiers in Biomedical Optics has been written by leading experts in the field and offers insights on engineering, biology, and medicine, thus being a valuable addition for scientists, engineers, and clinicians with technical and medical interest who would like to understand the equipment, the applications and the medical/biological background. Lastly, this book is dedicated to the memory of Dr. Gerhard Zinser, co-founder of Heidelberg Engineering GmbH, a scientist, a husband, a brother, a colleague, and a friend.
Author: P.W. Hawkes
Publisher: Springer Science & Business Media
ISBN: 0387497625
Category : Technology & Engineering
Languages : en
Pages : 1336
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Book Description
This fully corrected second impression of the classic 2006 text on microscopy runs to more than 1,000 pages and covers up-to-the-minute developments in the field. The two-volume work brings together a slew of experts who present comprehensive reviews of all the latest instruments and new versions of the older ones, as well as their associated operational techniques. The chapters draw attention to their principal areas of application. A huge range of subjects are benefiting from these new tools, including semiconductor physics, medicine, molecular biology, the nanoworld in general, magnetism, and ferroelectricity. This fascinating book will be an indispensable guide for a wide range of scientists in university laboratories as well as engineers and scientists in industrial R&D departments.
Author: Franz Zotter
Publisher: Springer
ISBN: 3030172074
Category : Technology & Engineering
Languages : en
Pages : 223
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Book Description
This open access book provides a concise explanation of the fundamentals and background of the surround sound recording and playback technology Ambisonics. It equips readers with the psychoacoustical, signal processing, acoustical, and mathematical knowledge needed to understand the inner workings of modern processing utilities, special equipment for recording, manipulation, and reproduction in the higher-order Ambisonic format. The book comes with various practical examples based on free software tools and open scientific data for reproducible research. The book’s introductory section offers a perspective on Ambisonics spanning from the origins of coincident recordings in the 1930s to the Ambisonic concepts of the 1970s, as well as classical ways of applying Ambisonics in first-order coincident sound scene recording and reproduction that have been practiced since the 1980s. As, from time to time, the underlying mathematics become quite involved, but should be comprehensive without sacrificing readability, the book includes an extensive mathematical appendix. The book offers readers a deeper understanding of Ambisonic technologies, and will especially benefit scientists, audio-system and audio-recording engineers. In the advanced sections of the book, fundamentals and modern techniques as higher-order Ambisonic decoding, 3D audio effects, and higher-order recording are explained. Those techniques are shown to be suitable to supply audience areas ranging from studio-sized to hundreds of listeners, or headphone-based playback, regardless whether it is live, interactive, or studio-produced 3D audio material.
