PirateBay Download | gaskill j linear systems fourier transforms optics 1978

gaskill j linear systems fourier transforms optics 1978

Type:: E-books
Files:: 2
Size:: 14.3 MB
Uploaded On:: Oct. 21, 2021, 9:16 a.m.
Added By:: andryold1
Seeders:: 0
Leechers:: 0
Info Hash:: 160A29AE14543B6BFA2BF8D600C567A75D0373A8

Textbook in PDF and DJVU formats Since the introduction of the laser in 1960, the application of communication theory to the analysis and synthesis of optical systems has become extremely popular. Central to the theory of communication is that part of mathematics developed by Jacques Fourier, who first undertook a systematic study of the series and integral expansions that now bear his name. Also important to communication theory are the concepts associated with linear systems and the characterization of such systems by mathematical operators. Although there are a number of books available that provide excellent treatments of these topics individually, in my opinion there has not been a single book that adequately combines all of them in a complete and orderly fashion. To illustrate, most of the good books on Fourier analysis contain very little material about optics, and most of those devoted to optical applications of communication theory assume that the reader has prior familiarity with Fourier analysis and linear systems. In writing this book I have attempted to remedy the situation just described by including complete treatments of such important topics as general harmonic analysis, linear systems, convolution, and Fourier trans- formation, first for one-dimensional signals and then for two-dimensional signals. The importance attached to these topics becomes apparent with the observation that they comprise over 60% of the material in the book. Following the development of this strong mathematical foundation, the phenomenon of diffraction is investigated in considerable depth. Included in this study are Fresnel and Fraunhofer diffraction, the effects of lenses on diffraction, and the propagation of Gaussian beams, with particularly close attention being paid to the conditions required for validity of the theory. Finally, the concepts of linear systems and Fourier analysis are combined with the theory of diffraction to describe the image-forming process in terms of a linear filtering operation for both coherent and incoherent imaging. With this background in Fourier optics the reader should be prepared to undertake more advanced studies of such topics as holography and optical data processing, for which there already exist several good books and innumerable technical papers. The book evolved from a set of course notes developed for a one- semester course at the University of Arizona. This course, which is basically an applied mathematics course presented from the viewpoint of an engineer-turned-opticist, is intended primarily for students in the first year of a graduate program in optical sciences. The only absolute prerequisite for the course is a solid foundation in differential and integral calculus; a background in optics, although helpful, is not required. (To aid those with no previous training in optics, a section on geometrical optics is included as Appendix 2.) Consequently, the book should be suitable for courses in disciplines other than optical sciences (e.g., physics and electrical engineering). In addition, by reducing the amount of material covered, by altering the time allotted to various topics, and/or by revising the performance standards for the course, the book could be used for an undergraduate- level course. For example, the constraints of an undergraduate course might dictate the omission of those parts of the book concerned with descriptions of two-dimensional functions in polar coordinate systems, convolution in polar coordinates, and Hankel transforms. The subjects of diffraction and image formation might still be investigated in some detail, but the student would be required to solve only those problems that can be described in rectangular coordinates. On the other hand, the book might be adapted for a one-quarter course in linear systems and Fourier analysis by omitting the chapters on diffraction theory and image formation altogether. Introduction Representation of Physical Quantities by Mathematical Functions Special Functions Harmonic Analysis Mathematical Operators and Physical Systems Convolution The Fourier Transform Characteristics and Applications of Linear Filters Two-Dimensional Convolution and Fourier Transformation The Propagation and Diffraction of Optical Wave Fields Image-Forming Systems Special Functions Elementary Geometrical Optics

Get This Torrent

Gaskill J.Linear Systems, Fourier Transforms, and Optics 1978.djvu 5.6 MB
Gaskill J.Linear Systems, Fourier Transforms, and Optics 1978.pdf 8.6 MB

Details for: Gaskill J.Linear Systems, Fourier Transforms, and Optics 1978

gaskill j linear systems fourier transforms optics 1978