Optimal shape design of blazed diffraction gratings

Optimal shape design of blazed diffraction gratings

The problem of designing a periodic interface between two materials in such a way that time-harmonic waves diffracted from the interface have a specified far-field pattern is studied. A minimization problem for the interface is formulated, and it is shown that solutions of constrained bounded variat...

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Veröffentlicht in:Applied mathematics & optimization 1999-07, Vol.40 (1), p.61-78
1. Verfasser: DOBSON, D. C
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computer interfaces
Diffraction and scattering
DIFFRACTION GRATINGS
Exact sciences and technology
Experimental methods and instrumentation for elementary-particle and nuclear physics
Fundamental areas of phenomenology (including applications)
INTERFACES
Mathematical programming
MATHEMATICAL SOLUTIONS
MINIMIZATION
Nuclear physics
Operational research and scientific management
Operational research. Management science
Optics
PERIODICITY
Physics
ROUGHNESS
Wave optics
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Beschreibung
Zusammenfassung:The problem of designing a periodic interface between two materials in such a way that time-harmonic waves diffracted from the interface have a specified far-field pattern is studied. A minimization problem for the interface is formulated, and it is shown that solutions of constrained bounded variation exist. The differentiability of the cost functional is then studied, with no restrictions on the smoothness of the interface. Some computational issues are discussed, and finally the results of some numerical experiments are presented.
ISSN:0095-4616
1432-0606
DOI:10.1007/s002459900116