Random Surfaces
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| Author | : Alexei A. Maradudin |
| Publisher | : Elsevier |
| Total Pages | : 351 |
| Release | : 2011-04-18 |
| Genre | : Technology & Engineering |
| ISBN | : 0080559735 |
Designer Surfaces presents an approach to the design and fabrication of optical elements that are based on the use of one- or two-dimensional randomly rough surfaces to reflect or transmit light in specified ways. The reader is provided with an introduction to analytical methods for the solution of direct problems in rough surface scattering, and fabrication techniques. These can be useful in contexts outside the scope of this book. The advantages and disadvantages of this stochastic approach compared to the diffractive optics approach are discussed. Finally, experimental results that verify the predictions of the theories developed in this book are presented. - Authority of authors - The only book on the topic - Derivations are given in detail, with many figures illustrating results
| Author | : David J Gross |
| Publisher | : World Scientific |
| Total Pages | : 256 |
| Release | : 1991-12-17 |
| Genre | : |
| ISBN | : 9814556300 |
In the past few years there has been much study of random two dimensional surfaces. These provide simple models of string theories with a few degrees of freedom, as well as toy models of quantum gravity. They have possible applications to the statistical mechanics of phase boundaries and to the development of an effective string description of QCD.Recently, methods have been developed to treat these theories nonperturbatively, based on discrete triangulations of the surfaces that can be generated by simple matrix models. Exact solutions with a rich mathematical structure have emerged. All these matters are discussed fully in this book.
| Author | : E. R. Pike |
| Publisher | : Academic Press |
| Total Pages | : 985 |
| Release | : 2002 |
| Genre | : Science |
| ISBN | : 0126137609 |
Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering -- Practical Aspects of Visible and Near-visible Light Scattering -- Nonlinear Light Scattering -- Atomic and Molecular Scattering: Introduction to Scattering in Chemical -- X-ray Scattering -- Neutron Scattering -- Electron Diffraction and Scattering -- Part 3: SCATTERING IN NUCLEAR PHYSICS -- Nuclear Physics -- Part 4: PARTICLE SCATTERING -- State of the Art of Peturbative Methods -- Scattering Through Electro-weak Interactions (the Fermi Scale) -- Scattering Through Strong Interactions (the Hadronic or QCD Scale) -- Part 5: SCATTERING AT EXTREME PHYSICAL SCALES -- Scattering at Extreme Physical Scales -- Part 6: SCATTERING IN MATHEMATICS AND NON-PHYSICAL SCIENCES -- Relations with Other Mathematical Theories -- Inverse Scattering Transform and Non-linear Partial Differenttial Equations -- Scattering of Mathematical Objects.
| Author | : J. A. Ogilvy |
| Publisher | : CRC Press |
| Total Pages | : 300 |
| Release | : 1991 |
| Genre | : Art |
| ISBN | : |
A review of theories developed for the study of acoustic, elastic and electromagnetic wave scattering from randomly rough surfaces, and a comprehensive summary of the latest techniques. Different theories are illustrated by experimental data.With applications in radar, sonar, ultrasonics and optics this book will be invaluable to graduate students, researchers and engineers.
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 461 |
| Release | : 2004-05-20 |
| Genre | : Science |
| ISBN | : 0080930468 |
Optics has become one of the most dynamic fields of science since the first volume of Progress in Optics was published, forty years ago. At the time of inception of this series, the first lasers were only just becoming operational, holography was in its infancy, subjects such as fiber optics, integrated optics and optoelectronics did not exist and quantum optics was the domain of only a few physicists. The term photonics had not yet been coined. Today these fields are flourishing and have become areas of specialisation for many science and engineering students and numerous research workers and engineers throughout the world. Some of the advances in these fields have been recognized by awarding Nobel prizes to seven physicists in the last twenty years. The volumes in this series which have appeared up to now contain 240 review articles by distinguished research workers, which have become permanent records for many important developments. They have helped optical scientists and optical engineers to stay abreast of their fields. There is no sign that developments in optics are slowing down or becoming less interesting. We confidently expect that, just like their predecessors, future volumes of Progress in Optics will faithfully record the most important advances that are being made in optics and related fields.
| Author | : United States. National Bureau of Standards |
| Publisher | : |
| Total Pages | : 1400 |
| Release | : 1964 |
| Genre | : Ionospheric radio wave propagation |
| ISBN | : |
| Author | : Jurg Frohlich |
| Publisher | : World Scientific |
| Total Pages | : 855 |
| Release | : 1992-04-29 |
| Genre | : |
| ISBN | : 9814506567 |
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
| Author | : Poul Henrik Damgaard |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 382 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1461537843 |
From August 21 through August 27, 1989 the Nato Advanced Research Workshop Probabilistic Methods in Quantum Field Theory and Quantum Gravity" was held at l'Institut d'Etudes Scientifiques, Cargese, France. This publication is the Proceedings of this workshop. The purpose of the workshop was to bring together a group of scientists who have been at the forefront of the development of probabilistic methods in Quantum Field Theory and Quantum Gravity. The original thought was to put emphasis on the introduction of stochastic processes in the understanding of Euclidean Quantum Field Theory, with also some discussion of recent progress in the field of stochastic numerical methods. During the final preparation of the meeting we broadened the scope to include all those Euclidean Quantum Field Theory descriptions that make direct reference to concepts from probability theory and statistical mechanics. Several of the main contributions centered around a more rigorous discussion of stochastic processes for the formulation of Euclidean Quantum Field Theory. These rather stringent mathematical approaches were contrasted with the more heuristic stochastic quantization scheme developed in 1981 by Parisi and Wu: Stochastic quan tization, its intrinsic BRST -structure and stochastic regularization appeared in many disguises and in connection with several different problems throughout the workshop.
| Author | : Jan Ambjørn |
| Publisher | : Cambridge University Press |
| Total Pages | : 377 |
| Release | : 1997-06-19 |
| Genre | : Science |
| ISBN | : 0521461677 |
Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.
| Author | : Peter Kuchment |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 232 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0821832867 |
Science and engineering have been great sources of problems and inspiration for generations of mathematicians. This is probably true now more than ever as numerous challenges in science and technology are met by mathematicians. One of these challenges is understanding propagation of waves of different nature in systems of complex structure. This book contains the proceedings of the research conference, ``Waves in Periodic and Random Media''. Papers are devoted to a number of related themes, including spectral theory of periodic differential operators, Anderson localization and spectral theory of random operators, photonic crystals, waveguide theory, mesoscopic systems, and designer random surfaces. Contributions are written by prominent experts and are of interest to researchers and graduate students in mathematical physics.
