Scattering Theory for Diffraction Gratings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1984
|
| Schriftenreihe: | Applied Mathematical Sciences
46 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| 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 |
| Beschreibung: | 1 Online-Ressource (180p) |
| ISBN: | 9781461211303 9780387909240 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/978-1-4612-1130-3 |
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| 500 | |a 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 | ||
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Datensatz im Suchindex
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| author | Wilcox, Calvin H. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1130-3 |
| format | Electronic eBook |
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| isbn | 9781461211303 9780387909240 |
| issn | 0066-5452 |
| language | English |
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| spelling | Wilcox, Calvin H. Verfasser aut Scattering Theory for Diffraction Gratings by Calvin H. Wilcox New York, NY Springer New York 1984 1 Online-Ressource (180p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 46 0066-5452 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 Mathematics Numerical analysis Numerical Analysis Mathematik Streutheorie (DE-588)4183697-2 gnd rswk-swf Streuung Stochastik (DE-588)4183698-4 gnd rswk-swf Beugungsgitter (DE-588)4122915-0 gnd rswk-swf Beugungsgitter (DE-588)4122915-0 s Streutheorie (DE-588)4183697-2 s 1\p DE-604 Streuung Stochastik (DE-588)4183698-4 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-1130-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wilcox, Calvin H. Scattering Theory for Diffraction Gratings Mathematics Numerical analysis Numerical Analysis Mathematik Streutheorie (DE-588)4183697-2 gnd Streuung Stochastik (DE-588)4183698-4 gnd Beugungsgitter (DE-588)4122915-0 gnd |
| subject_GND | (DE-588)4183697-2 (DE-588)4183698-4 (DE-588)4122915-0 |
| title | Scattering Theory for Diffraction Gratings |
| title_auth | Scattering Theory for Diffraction Gratings |
| title_exact_search | Scattering Theory for Diffraction Gratings |
| title_full | Scattering Theory for Diffraction Gratings by Calvin H. Wilcox |
| title_fullStr | Scattering Theory for Diffraction Gratings by Calvin H. Wilcox |
| title_full_unstemmed | Scattering Theory for Diffraction Gratings by Calvin H. Wilcox |
| title_short | Scattering Theory for Diffraction Gratings |
| title_sort | scattering theory for diffraction gratings |
| topic | Mathematics Numerical analysis Numerical Analysis Mathematik Streutheorie (DE-588)4183697-2 gnd Streuung Stochastik (DE-588)4183698-4 gnd Beugungsgitter (DE-588)4122915-0 gnd |
| topic_facet | Mathematics Numerical analysis Numerical Analysis Mathematik Streutheorie Streuung Stochastik Beugungsgitter |
| url | https://doi.org/10.1007/978-1-4612-1130-3 |
| work_keys_str_mv | AT wilcoxcalvinh scatteringtheoryfordiffractiongratings |