Scattering Theory for Diffraction Gratings

Calvin H. Wilcox

ISBN 10: 0387909249 / ISBN 13: 9780387909240

Edité par Springer, Springer Dez 1983, 1983

A propos de cet article

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 180 pp. Englisch.

N° de réf. du vendeur 9780387909240

Détails bibliographiques

• Titre: Scattering Theory for Diffraction Gratings
• Éditeur: Springer, Springer Dez 1983
• Date de parution: 1983
• Langue: anglais
• ISBN à 10 chiffres: 0387909249
• ISBN à 13 chiffres: 9780387909240
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 11 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 11 millimètres de profondeur
• Poids: 283 grammes

A propos de ce titre

Synopsis

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.