Scattering Theory for Diffraction Gratings
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...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1984, 1984
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| Edition: | 1st ed. 1984 |
| Series: | Applied Mathematical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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