Linear Systems, Fourier Transforms, and Optics PDF Download

Author: Jack D. Gaskill
Publisher: John Wiley & Sons
ISBN: 0471292885
Category : Science
Languages : en
Pages : 580

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Book Description
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.

Author: J. Scott Tyo
Publisher:
ISBN: 9781628415483
Category : Mathematics
Languages : en
Pages : 102

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Book Description
Linear systems is a broad and important area in many scientific and engineering disciplines, and it is especially important in optics because it forms the basis for Fourier optics, diffraction theory, image-quality assessment, and many other areas. This Field Guide provides the practicing optical engineer with a reference for the basic concepts and techniques of linear systems, including Fourier series, continuous and discrete Fourier transforms, convolution, sampling and aliasing, and MTF/PSF using the language, notation, and applications from optics, imaging, and diffraction.

Author: Robert K. Tyson
Publisher: Inst of Physics Pub Incorporated
ISBN: 9780750310574
Category : Science
Languages : en
Pages : 117

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Book Description
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.

Author: Toyohiko Yatagai
Publisher: CRC Press
ISBN: 1000559408
Category : Mathematics
Languages : en
Pages : 310

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Book Description
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.

Author: Okan K. Ersoy
Publisher: John Wiley & Sons
ISBN: 0470084995
Category : Technology & Engineering
Languages : en
Pages : 433

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Book Description
This book presents current theories of diffraction, imaging, and related topics based on Fourier analysis and synthesis techniques, which are essential for understanding, analyzing, and synthesizing modern imaging, optical communications and networking, as well as micro/nano systems. Applications covered include tomography; magnetic resonance imaging; synthetic aperture radar (SAR) and interferometric SAR; optical communications and networking devices; computer-generated holograms and analog holograms; and wireless systems using EM waves.

Author: Henry Stark
Publisher: Elsevier
ISBN: 0323145930
Category : Science
Languages : en
Pages : 564

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Book Description
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.

Author: Raymond G. Wilson
Publisher: Wiley-Interscience
ISBN:
Category : Computers
Languages : en
Pages : 390

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Book Description
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.

Author: Roger L. Easton Jr.
Publisher: John Wiley & Sons
ISBN: 1119991862
Category : Technology & Engineering
Languages : en
Pages : 1005

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Book Description
Fourier Methods in Imaging introduces the mathematical tools for modeling linear imaging systems to predict the action of the system or for solving for the input. The chapters are grouped into five sections, the first introduces the imaging “tasks” (direct, inverse, and system analysis), the basic concepts of linear algebra for vectors and functions, including complex-valued vectors, and inner products of vectors and functions. The second section defines "special" functions, mathematical operations, and transformations that are useful for describing imaging systems. Among these are the Fourier transforms of 1-D and 2-D function, and the Hankel and Radon transforms. This section also considers approximations of the Fourier transform. The third and fourth sections examine the discrete Fourier transform and the description of imaging systems as linear "filters", including the inverse, matched, Wiener and Wiener-Helstrom filters. The final section examines applications of linear system models to optical imaging systems, including holography. Provides a unified mathematical description of imaging systems. Develops a consistent mathematical formalism for characterizing imaging systems. Helps the reader develop an intuitive grasp of the most common mathematical methods, useful for describing the action of general linear systems on signals of one or more spatial dimensions. Offers parallel descriptions of continuous and discrete cases. Includes many graphical and pictorial examples to illustrate the concepts. This book helps students develop an understanding of mathematical tools for describing general one- and two-dimensional linear imaging systems, and will also serve as a reference for engineers and scientists

Author: Haldun M. Ozaktas
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 546

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Book Description
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.

Author: Joseph W. Goodman
Publisher: Roberts and Company Publishers
ISBN: 9780974707723
Category : Science
Languages : en
Pages : 520

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Book Description
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.