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Scattering Theory for Diffraction Gratings

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Release : 1983-12-01
Genre :
Kind : eBook
Book Rating : 310/5 ( reviews)

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Book Synopsis Scattering Theory for Diffraction Gratings by : Calvin H Wilcox

Download or read book Scattering Theory for Diffraction Gratings written by Calvin H Wilcox. This book was released on 1983-12-01. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory for Diffraction Gratings

Download Scattering Theory for Diffraction Gratings PDF Online Free

Author :
Release : 1984
Genre : Diffraction gratings
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Scattering Theory for Diffraction Gratings by : Calvin Hayden Wilcox

Download or read book Scattering Theory for Diffraction Gratings written by Calvin Hayden Wilcox. This book was released on 1984. Available in PDF, EPUB and Kindle. Book excerpt:

Scattering Theory for Diffraction Gratings

Download Scattering Theory for Diffraction Gratings PDF Online Free

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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 301/5 ( reviews)

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Book Synopsis Scattering Theory for Diffraction Gratings by : Calvin H. Wilcox

Download or read book Scattering Theory for Diffraction Gratings written by Calvin H. Wilcox. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The scattering of acoustic and electromagnetic waves by periodic sur faces plays a role in many areas of applied physics and engineering. Opti cal diffraction gratings date from the nineteenth century and are still widely used by spectroscopists. More recently, diffraction gratings have been used as coupling devices for optical waveguides. Trains of surface waves on the oceans are natural diffraction gratings which influence the scattering of electromagnetic waves and underwater sound. Similarly, the surface of a crystal acts as a diffraction grating for the scattering of atomic beams. This list of natural and artificial diffraction gratings could easily be extended. The purpose of this monograph is to develop from first principles a theory of the scattering of acoustic and electromagnetic waves by periodic surfaces. In physical terms, the scattering of both time-harmonic and transient fields is analyzed. The corresponding mathematical model leads to the study of boundary value problems for the Helmholtz and d'Alembert wave equations in plane domains bounded by periodic curves. In the formal ism adopted here these problems are intimately related to the spectral analysis of the Laplace operator, acting in a Hilbert space of functions defined in the domain adjacent to the grating.

Modern Theory of Gratings

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Release : 2010-07-23
Genre : Science
Kind : eBook
Book Rating : 002/5 ( reviews)

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Book Synopsis Modern Theory of Gratings by : Yuriy K. Sirenko

Download or read book Modern Theory of Gratings written by Yuriy K. Sirenko. This book was released on 2010-07-23. Available in PDF, EPUB and Kindle. Book excerpt: The advances in the theory of diffraction gratings and the applications of these results certainly determine the progress in several areas of applied science and engineering. The polarization converters, phase shifters and filters, quantum and solid-state oscillators, open quasi optical dispersive resonators and power compressors, slow-wave structures and patter forming systems, accelerators and spectrometer; that is still far from being a complete list of devices exploiting the amazing ability of periodic structures to perform controlled frequency, spatial, and polarization selection of signals. Diffraction gratings used to be and still are one of the most popular objects of analysis in electromagnetic theory. The further development of the theory of diffraction gratings, in spite of considerable achievements, is still very important presently. The requirements of applied optics and microwave engineering present the theory of diffraction gratings with many new problems which force us to search for new methods and tools for their resolution. Just in such way there appeared recently new fields, connected with the analysis, synthesis and definition of equivalent parameters of artificial materials – layers and coatings, having periodic structure and possessing features, which can be found in natural materials only in extraordinary or exceptional situations. In this book the authors present results of the electromagnetic theory of diffraction gratings that may constitute the base of further development of this theory which can meet the challenges provided by the most recent requirements of fundamental and applied science. The following issues will be considered in the book Authentic methods of analytical regularization, that perfectly match the requirements of analysis of resonant scattering of electromagnetic waves by gratings; Spectral theory of gratings, providing a reliable foundation for the analysis of spatial – frequency transformations of electromagnetic fields occurring in open periodic resonators and waveguides; Parametric Fourier method and C-method, that are oriented towards the efficient numerical analysis of transformation properties of fields in the case of arbitrary profile periodic boundary between dielectric media and multilayered conformal arrays; Rigorous methods for analysis of transient processes and time-spatial transformations of electromagnetic waves in resonant situations, based on development and incorporation in standard numerical routines of FDTD of so called explicit absorbing boundary conditions; New approaches to the solution of homogenization problems – the key problem arising in construction of metamaterials and meta surfaces; New physical results about the resonance scattering of pulse and monochromatic waves by periodic structures, including structures with chiral or left-handed materials; Methods and the results of the solutions of several actual applied problems of analysis and synthesis of pattern creating gratings, power compressors, resonance radiators of high capacity short radio pulses, open electromagnetic structures for the systems of resonant quasi optics and absorbing coatings.

Mathematical Problems in Image Processing

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Release : 2006-11-30
Genre : Mathematics
Kind : eBook
Book Rating : 889/5 ( reviews)

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Book Synopsis Mathematical Problems in Image Processing by : Gilles Aubert

Download or read book Mathematical Problems in Image Processing written by Gilles Aubert. This book was released on 2006-11-30. Available in PDF, EPUB and Kindle. Book excerpt: The updated 2nd edition of this book presents a variety of image analysis applications, reviews their precise mathematics and shows how to discretize them. For the mathematical community, the book shows the contribution of mathematics to this domain, and highlights unsolved theoretical questions. For the computer vision community, it presents a clear, self-contained and global overview of the mathematics involved in image procesing problems. The second edition offers a review of progress in image processing applications covered by the PDE framework, and updates the existing material. The book also provides programming tools for creating simulations with minimal effort.

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