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Author: Antonios Gonis
Publisher: Springer Science & Business Media
ISBN: 1461212901
Category : Science
Languages : en
Pages : 298
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Book Description
A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.
Author: Antonios Gonis
Publisher: Springer Science & Business Media
ISBN: 1461212901
Category : Science
Languages : en
Pages : 298
Get Book Here
Book Description
A description of general techniques for solving linear partial differential equations by dividing space into regions to which the equations are independently applied and then assembling a global solution from the partial ones. Intended for researchers and graduates involved in calculations of the electronic structure of materials, this will also be of interest to workers in quantum chemistry, electron microscopy, acoustics, optics, and other fields. The book begins with an intuitive approach to scattering theory and then turns to partial waves and a formal development of multiple scattering theory, with applications to the solid state. The authors then present a variational derivation of the formalism and an augmented version of the theory, concluding with a discussion of the relativistic formalism and a discussion of the Poisson equation. Appendices discuss Green's functions, spherical functions, Moller operators and the Lippmann-Schwinger equation, irregular solutions, and singularities in Green's functions.
Author: P. A. Martin
Publisher: Cambridge University Press
ISBN: 0521865549
Category : Mathematics
Languages : en
Pages : 13
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Book Description
Publisher description
Author: J. S. Faulkner
Publisher:
ISBN: 9780750314909
Category : Energy-band theory of solids
Languages : en
Pages : 0
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Book Description
"In 1947, it was discovered that multiple scattering theory can be used to solve the Schrèodinger equation for the stationary states of electrons in a solid. Written by experts in the field, Dr. J S Faulkner, G M Stocks, and Yang Wang, this book collates the results of numerous studies in the field of multiple scattering theory and provides a comprehensive, systematic approach to MSTs." -- Prové de l'editor.
Author: Michael I. Mishchenko
Publisher: Cambridge University Press
ISBN: 9780521834902
Category : Science
Languages : en
Pages : 520
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Book Description
This monograph on multiple scattering of light by small particles is an ideal resource for science professionals, engineers, and graduate students.
Author: H Van de Hulst
Publisher: Elsevier
ISBN: 032315557X
Category : Science
Languages : en
Pages : 332
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Book Description
Multiple Light Scattering: Tables, Formulas, and Applications, Volume 1 serves to give concise and handy information related to multiple scattering theory in such a way that the reader would not have to rely on extensive literature on the subject. The book is divided into two parts. Part I: General Theory covers the basic concepts, terms, and notations related to multiple scattering theory; exponential integrals and related functions; reciprocity and detailed balance; different related methods; and homogenous atmospheres with arbitrary phase function and single-scattering albedo. Part II: Isotropic Scattering discusses related concepts such as solutions using the Milne operator; semi-infinite atmospheres; the H-functions; and finite slabs. The text is recommended for practitioners in optics, atmospheric physics, astronomy, and other fields that need a reference book in the subject of multiple light scattering.
Author: Didier Sébilleau
Publisher: Springer
ISBN: 3319738119
Category : Science
Languages : en
Pages : 416
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Book Description
This edited book, based on material presented at the EU Spec Training School on Multiple Scattering Codes and the following MSNano Conference, is divided into two distinct parts. The first part, subtitled “basic knowledge”, provides the basics of the multiple scattering description in spectroscopies, enabling readers to understand the physics behind the various multiple scattering codes available for modelling spectroscopies. The second part, “extended knowledge”, presents “state- of-the-art” short chapters on specific subjects associated with improving of the actual description of spectroscopies within the multiple scattering formalism, such as inelastic processes, or precise examples of modelling.
Author: Gustav Kortüm
Publisher: Springer Science & Business Media
ISBN: 3642880711
Category : Science
Languages : en
Pages : 372
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Book Description
Reflectance spectroscopy is the investigation of the spectral composi tion of surface-reflected radiation with respect to its angularly dependent intensity and the composition of the incident primary radiation. Two limiting cases are important: The first concerns regular (specular) reflection from a smooth surface, and the second diffuse reflection from an ideal matte surface. All possible variations are found in practice between these two extremes. For the two extreme cases, two fundamentally different methods of reflectance spectroscopy are employed: The first of these consists in evaluating the optical constants n (refractive index) and x (absorption index) from the measured regular reflection by means of the Fresnel equations as a function of the wave A. This rather old and very troublesome procedure, which is length incapable of very accurate results, has recently been modified by Fahren fort by replacing the air-sample phase boundary by the phase boundary between a dielectric of higher refractive index (n ) and the sample (n ). 1 2 If the sample absorbs no radiation and the angle of incidence exceeds a certain definite value, total reflection occurs. On close optical contact between the two phases, a small amount of energy is transferred into the less dense phase because of diffraction phenomena at the edges of the incident beam. The energy flux in the two directions through the phase boundary caused by this is equal, however, so that 'total reflection takes place.
Author: Vicente Romero-Garcia
Publisher: John Wiley & Sons
ISBN: 1119649161
Category : Technology & Engineering
Languages : en
Pages : 326
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Book Description
In the last few decades, metamaterials have revolutionized the ways in which waves are controlled, and applied in physics and practical situations. The extraordinary properties of metamaterials, such as their locally resonant structure with deep subwavelength band gaps and their ranges of frequency where propagation is impossible, have opened the way to a host of applications that were previously unavailable. Acoustic metamaterials have been able to replace traditional treatments in several sectors, due to their better performance in targeted and tunable frequency ranges with strongly reduced dimensions. This is a training book composed of nine chapters written by experts in the field, giving a broad overview of acoustic metamaterials and their uses. The book is divided into three parts, covering the state-of-the-art, the fundamentals and the real-life applications of acoustic metamaterials.
Author: Alexander A. Kokhanovsky
Publisher: Springer Science & Business Media
ISBN: 3540376720
Category : Science
Languages : en
Pages : 509
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Book Description
This book provides an account of recent developments in light scattering media optics. Leading researchers focus on both the theoretical and experimental results in the area. In particular, light scattering by ice crystals, soil particles and biological particles is considered. This volume first discusses single light scattering, followed by multiple light scattering and finally examines possible applications in combustion and marine research.
Author: Rémi Carminati
Publisher: Cambridge University Press
ISBN: 1107146933
Category : Science
Languages : en
Pages : 379
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Book Description
A systematic and accessible treatment of light scattering and transport in disordered media from first principles.
