Download or read book Application of Optical Fourier Transforms written by Henry Stark and published by Elsevier. This book was released on 2012-12-02 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Optical Fourier Transforms is a 12-chapter text that discusses the significant achievements in Fourier optics. The opening chapters discuss the Fourier transform property of a lens, the theory and applications of complex spatial filters, and their application to signal detection, character recognition, water pollution monitoring, and other pattern recognition problems. These topics are followed by a computation of the statistical characteristics of the Fourier irradiance patterns and the hybrid systems that combine the best of optics, analog electronics, and digital computers to solve problems. The subsequent chapters examine the pulse-Doppler and chirp signals, the significance of signal-to-noise power spectrum in the information content measurement of photographic film and in image quality determinations. This text also considers the application of nonlinear systems and their components to Fourier optics. The discussions then shift to the application of Fourier methods to the study of spatial information transmission through the human visual system, as well as the application of coherent techniques to vision research. The concluding chapters deal with the well-known pattern recognition problems related to the digital signal processing community. These chapters also look into a general theoretical model of light field propagation from input to output. This book will be of value to optical scientists and vision researchers.
Download or read book Principles and Applications of Fourier Optics written by Robert K. Tyson and published by Inst of Physics Pub Incorporated. This book was released on 2014-08-22 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier optics, being a staple of optical design and analysis for over 50 years, has produced many new applications in recent years. In this text, Bob Tyson presents the fundamentals of Fourier optics with sufficient detail to educate the reader, typically an advanced student or working scientist or engineer, to the level of applying the knowledge to a specific set of design or analysis problems. Well aware that many of the mathematical techniques used in the field can now be solved digitally, the book will point to those methods or applicable computer software available to the reader.
Download or read book Linear Systems Fourier Transforms and Optics written by Jack D. Gaskill and published by John Wiley & Sons. This book was released on 1978-06-16 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete and balanced account of communication theory, providing an understanding of both Fourier analysis (and the concepts associated with linear systems) and the characterization of such systems by mathematical operators. Presents applications of the theories to the diffraction of optical wave-fields and the analysis of image-forming systems. Emphasizes a strong mathematical foundation and includes an in-depth consideration of the phenomena of diffraction. Combines all theories to describe the image-forming process in terms of a linear filtering operation for both coherent and incoherent imaging. Chapters provide carefully designed sets of problems. Also includes extensive tables of properties and pairs of Fourier transforms and Hankle Transforms.
Download or read book Fourier Transforms in NMR Optical and Mass Spectrometry written by A.G. Marshall and published by Elsevier. This book was released on 2016-02-25 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by spectroscopists for spectroscopists, here is a book which is not only a valuable handbook and reference work, but also an ideal teaching text for Fourier transform methods as they are applied in spectroscopy. It offers the first unified treatment of the three most popular types of FT/spectroscopy, with uniform notation and complete indexing of specialized terms. All mathematics is self-contained, and requires only a knowledge of simple calculus. The main emphasis is on pictures and physical analogs rather than detailed algebra. Instructive problems, presented at the end of each chapter, offer extensions of the basic treatment. Solutions are given or outlined for all problems. The book offers a wealth of practical information to spectroscopists. Non-ideal effects are treated in detail: noise (source- and detector-limited); non-linear response; limits to spectrometer performance based on finite detection period, finite data size, mis-phasing, etc. Common puzzles and paradoxes are explained: e.g. use of mathematically complex variables to represent physically real quantities; interpretation of negative frequency signals; on-resonance vs. off-resonance response; interpolation (when it helps and when it doesn't); ultimate accuracy of the data; differences between linearly- and circularly-polarized radiation; multiplex advantage or disadvantage, etc. Chapter 1 introduces the fundamental line shapes encountered in spectroscopy, from a simple classical mass-on-a-spring model. The Fourier transform relationship between the time-domain response to a sudden impulse and the steady-state frequency-domain response (absorption and dispersion spectra) to a continuous oscillation is established and illustrated. Chapters 2 and 3 summarize the basic mathematics (definitions, formulas, theorems, and examples) for continuous (analog) and discrete (digital) Fourier transforms, and their practical implications. Experimental aspects which are common to the signal (Chapter 4) and noise (Chapter 5) in all forms of Fourier transform spectrometry are followed by separate chapters for treatment of those features which are unique to FT/MS, FT/optical, FT/NMR, and other types of FT/spectroscopy. The list of references includes both historical and comprehensive reviews and monographs, along with articles describing several key developments. The appendices provide instant access to FT integrals and fast algorithms as well as a pictorial library of common Fourier transform function pairs. The comprehensive index is designed to enable the reader to locate particular key words, including those with more than one name.
Download or read book The Fractional Fourier Transform written by Haldun M. Ozaktas and published by John Wiley & Sons. This book was released on 2001-02-08 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of the Fractional Fourier Transform and its role in optics and data management provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. This book explains how the fractional Fourier transform has allowed the generalization of the Fourier transform and the notion of the frequency transform. It will serve as the standard reference on Fourier transforms for many years to come.
Download or read book Fourier Theory in Optics and Optical Information Processing written by Toyohiko Yatagai and published by CRC Press. This book was released on 2022-05-26 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier analysis is one of the most important concepts when you apply physical ideas to engineering issues. This book provides a comprehensive understanding of Fourier transform and spectral analysis in optics, image processing, and signal processing. Written by a world renowned author, this book looks to unify the readers understanding of principles of optics, information processing and measurement. This book describes optical imaging systems through a linear system theory. The book also provides an easy understanding of Fourier transform and system theory in optics. It also provides background of optical measurement and signal processing. Finally, the author also provides a systematic approach to learning many signal processing techniques in optics. The book is intended for researchers, industry professionals, and graduate level students in optics and information processing.
Download or read book Fourier Series and Optical Transform Techniques in Contemporary Optics written by Raymond G. Wilson and published by Wiley-Interscience. This book was released on 1995-05-29 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the applications of Fourier methods and linear systems theory to optical diffraction and imaging, and it will be of use to anyone seeking an understanding of Fourier series and Fourier transforms of one-and two-dimensional structures.
Download or read book The Fourier Transform and Its Applications to Optics written by Pierre Michel Duffieux and published by . This book was released on 1983 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fourier Optics written by Edward G. Steward and published by Ellis Horwood. This book was released on 1983 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for advanced undergraduate and graduate students, this text covers Fraunhofer diffraction, Fourier series and periodic structures, Fourier transforms, optical imaging and processing, image reconstruction, and more. Solutions. 1989 edition.
Download or read book Introduction to Fourier Optics written by Joseph W. Goodman and published by Roberts and Company Publishers. This book was released on 2005 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook deals with fourier analysis applications in optics, and in particular with its applications to diffraction, imaging, optical data processing, holography and optical communications. Fourier analysis is a universal tool that has found application within a wide range of areas in physics and engineering and this third edition has been written to help your students understand the complexity of a subject that can be challenging to grasp at times. Chapters cover foundations of scalar diffraction theory, Fresnel and Fraunhofer diffraction moving onto Wave-Optics Analysis of Coherent Optical Systems and Wavefront Modulation. Joseph Goodman’s work in Electrical Engineering has been recognised by a variety of awards and honours, so his text is able to guide students through a comprehensive introduction into Fourier Optics.
Download or read book Fourier Transforms in Spectroscopy written by Jyrki Kauppinen and published by John Wiley & Sons. This book was released on 2011-02-10 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern approach to the subject is clearly and logically structured, and gives readers an understanding of the essence of Fourier transforms and their applications. All important aspects are included with respect to their use with optical spectroscopic data. Based on popular lectures, the authors provide the mathematical fundamentals and numerical applications which are essential in practical use. The main part of the book is dedicated to applications of FT in signal processing and spectroscopy, with IR and NIR, NMR and mass spectrometry dealt with both from a theoretical and practical point of view. Some aspects, linear prediction for example, are explained here thoroughly for the first time.
Download or read book Systems and Transforms with Applications in Optics written by Athanasios Papoulis and published by . This book was released on 1981 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Fourier Transform and Its Applications to Optics written by P. M. Duffieux and published by John Wiley & Sons. This book was released on 1983 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Fourier Optics written by Joseph W. Goodman and published by McGraw-Hill Companies. This book was released on 1968 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This renowned text applies the powerful mathematical methods of fourier analysis to the analysis and synthesis of optical systems. These ubiquitous mathematical tools provide unique insights into the capabilities and limitations of optical systems in both imaging and information processing and lead to many fascinating applications, including the field of holography.
Download or read book The Fourier Transform and Its Applications written by Ronald Newbold Bracewell and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Selected Papers on Fourier Optics written by Mustafa A. G. Abushagur and published by SPIE-International Society for Optical Engineering. This book was released on 1995 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: SPIE Milestones are collections of seminal papers from the world literature covering important discoveries and developments in optics and photonics.
Download or read book Principles and Applications of Fourier Optics written by R K Tyson and published by Myprint. This book was released on 2014-08-22 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
