application of optical fourier transforms

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Application Of Optical Fourier Transforms

Author : Henry Stark
ISBN : 9780323145930
Genre : Science
File Size : 25. 51 MB
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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.

The Fractional Fourier Transform

Author : M. Alper Kutay
ISBN : 0471963461
Genre : Mathematics
File Size : 84. 83 MB
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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.

Principles And Applications Of Fourier Optics

Author : Robert K. Tyson
ISBN : 075031057X
Genre : Science
File Size : 63. 6 MB
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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.

Linear Systems Fourier Transforms And Optics

Author : Jack D. Gaskill
ISBN : UCAL:B4179170
Genre : Computers
File Size : 44. 44 MB
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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.

The Fourier Transform And Its Applications To Optics

Author : P. M. Duffieux
ISBN : 0471095893
Genre : Fourier transform optics
File Size : 55. 64 MB
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Introduction To Fourier Optics

Author : Joseph W. Goodman
ISBN : 0974707724
Genre : Family & Relationships
File Size : 34. 99 MB
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Fourier analysis is a ubiquitous tool that has found application to diverse areas of physics and engineering. This book deals with its applications in optics, and in particular with applications to diffraction, imaging, optical data processing and holography. This book can be used as an upper level textbook to satisfy the needs of several different types of courses.

A Student S Guide To Fourier Transforms

Author : J. F. James
ISBN : 9781139493949
Genre : Science
File Size : 70. 40 MB
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Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.

Fourier Optics

Author : E. G. Steward
ISBN : 9780486435046
Genre : Science
File Size : 24. 1 MB
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"A clear and straightforward introduction to the Fourier principles behind modern optics, this text is appropriate for advanced undergraduate and graduate students."--Page 4 of cover.

The Kid Who Only Hit Homers

Author : Matt Christopher
ISBN : 9781599531076
Genre : Juvenile Fiction
File Size : 71. 37 MB
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A boy becomes a phenomenal baseball player one summer when a mysterious stranger resembling Babe Ruth befriends him.

Fourier Series And Optical Transform Techniques In Contemporary Optics

Author : Raymond G. Wilson
ISBN : 0471303577
Genre : Computers
File Size : 84. 53 MB
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Fourier Series and Optical Transform Techniques in Contemporary Optics An Introduction For anyone new to Fourier methods, this remarkable book will illuminate the subject like no other currently available. With over 280 illustrations generated by computer graphics, it depicts in 3-space (rather than the usual 2-space) the many basic functions of optical diffraction and imaging. These mind-stretching visualizations give the reader an enhanced understanding of both Fourier transform techniques and key principles in optics. At the same time, the author provides a lucid text that covers wave notation, the Fourier analysis of signals, the processing of light in diffraction phenomena and imaging, Zernicke polynomials, Fourier transforms for Fresnel diffraction, laser beacon adaptive optics, and related topics. Ideal for self-teaching, this book is highly recommended for working engineers, technical staff, students of physical optics and signal analysis, and Fourier novices in all fields.

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