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Applied Mathematical Sciences: Scattering Theory for Diffraction Gratings
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Applied Mathematical Sciences: Scattering Theory for Diffraction Gratings - Livres de poche

1983, ISBN: 9780387909240

[ED: Taschenbuch / Paperback], [PU: Springer, Berlin], AUSFÜHRLICHERE BESCHREIBUNG: 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. INHALT: 1. Physical Theory.- 1. The Physical Problem.- 2. The Mathematical Formulation.- 3. Solution of the Initial-Boundary Value Problem.- 4. The Reference Problem and Its Eigenfunctions.- 5. Rayleigh-Bloch Diffracted Plane Waves for Gratings.- 6. Rayleigh-Bloch Surface Waves for Gratings.- 7. Rayleigh-Bloch Wave Expansions.- 8. Wave and Scattering Operators for Gratings.- 9. Asymptotic Wave Functions for Gratings.- 10. The Scattering of Signals from Remote Sources.- 2. Mathematical Theory.- 1. Grating Domains and Grating Propagators.- 2. Rayleigh-Bloch Waves.- 3. The Reduced Grating Propagator Ap.- 4. Analytic Continuation of the Resolvent of Ap.- 5. Proofs of the Results of 4.- 6. The Eigenfunction Expansion for Ap.- 7. Proofs of the Results of 6.- 8. The Rayleigh-Bloch Wave Expansions for A.- 9. Proofs of the Results of 8.- 10. The Initial-Boundary Value Problems for the Scattered Fields.- 11. Construction of the Wave Operators for AP and Ao,p.- 12. Construction of the Wave Operators for A and Ao.- 13. Asymptotic Wave Functions and Energy Distributions.- 14. Construction and Structure of the S-Matrix.- 15. The Scattering of Signals by Diffraction Gratings.- References., [SC: 0.00], Neuware, gewerbliches Angebot, [GW: 263g]

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Scattering Theory For Diffraction Gratings
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Scattering Theory For Diffraction Gratings - nouveau livre

ISBN: 9780387909240

ID: 5934284

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. 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. Books, Science and Geography~~Mathematics~~Calculus & Mathematical Analysis, Scattering Theory For Diffraction Gratings~~Book~~9780387909240~~Calvin H. Wilcox, , , , , , , , , ,, [PU: Springer]

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Scattering Theory for Diffraction Gratings - Calvin H. Wilcox
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Calvin H. Wilcox:
Scattering Theory for Diffraction Gratings - nouveau livre

ISBN: 9780387909240

ID: a93e3697d10978fecd42213e7612bfc4

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. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik / Arithmetik & Algebra, [PU: Springer]

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Scattering Theory for Diffraction Gratings
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Scattering Theory for Diffraction Gratings - nouveau livre

ISBN: 9780387909240

ID: a93e3697d10978fecd42213e7612bfc4

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. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik / Arithmetik & Algebra, [PU: Springer]

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Scattering Theory for Diffraction Gratings - Calvin H. Wilcox
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Calvin H. Wilcox:
Scattering Theory for Diffraction Gratings - Livres de poche

2013, ISBN: 0387909249

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Détails sur le livre
Scattering Theory for Diffraction Gratings
Auteur:

Wilcox, Calvin H.

Titre:

Scattering Theory for Diffraction Gratings

ISBN:

0387909249

Informations détaillées sur le livre - Scattering Theory for Diffraction Gratings


EAN (ISBN-13): 9780387909240
ISBN (ISBN-10): 0387909249
Livre de poche
Date de parution: 1983
Editeur: SPRINGER VERLAG GMBH
180 Pages
Poids: 0,259 kg
Langue: eng/Englisch

Livre dans la base de données depuis 12.06.2007 16:54:15
Livre trouvé récemment le 23.11.2016 13:20:26
ISBN/EAN: 0387909249

ISBN - Autres types d'écriture:
0-387-90924-9, 978-0-387-90924-0

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