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• W839774328 abstract "The main theme of this thesis is the development of new rigorousformalisms to describe the diffraction properties of multiply configured,perfectly conducting, gratings with simple groove geometries. This classof gratings is composed of singly or doubly periodic elements. Theformalisms are derived using modal techniques which are particularlysuited to solving the diffraction properties of these gratings.Considerable attention is paid to the far infrared properties of thegratings with the aim of describing their performance as interferencefilters used in this wavelength range.The thesis contains a general review of the previous contributionsto the theoretical study of diffraction gratings, including a review ofinvestigations which have been undertaken into the properties of farinfrared interferometers. This is followed by a discussion of aformalism describing the diffraction properties of lossless dielectricand finitely conducting gratings. This study represents one of the firstgeneralisations of a modal formalism to structures which are otherthan perfectly conducting, and is a step towards the solution of thediffraction properties of capacitive or finitely conducting inductivegrids.The remainder of the thesis is concerned with perfectly conductinggratings having basically rectangular geometries. The structuresconsidered are either singly periodic or doubly periodic. The doubleperiodicity results either directly from the geometry of the element (asfor example in the case of inductive grids) or is contrived by suitablearrangement of singly periodic elements.The performance of singly periodic interference filters, composed of two or more lamellar gratings, is then described. The first suchstructure to be considered is the double grating and the diffractionproperties of this arrangement are described in detail. The associatedanalysis is performed by explicitly specifying the fields in each grooveregion by a modal expansion. The geometry of the double grating is thengeneralised to consider a grating composed of a stack of an arbitrarynumber of singly periodic elements, and the properties of this structureare analysed using a new rigorous multiple scattering technique.These singly periodic gratings have application as Fabry-Perotinterferometers only for radiation having a particular linear polarization.If the incident radiation is unpolarized it is necessary to use doublyperiodic devices such as inductive grids. For this reason the performanceof the double grid interferometer is considered, and a rigorous formalismfor it is derived using an approach similar to that used for the doublegrating. The properties of multi-element grids are then analysed using amultiple scattering approach.Interesting conservation properties for lossless singly and doublyperiodic structures are presented and are related to the geometricalsymmetry of the structure. These relations provide constraints on thescattering matrices of the diffraction system.Finally, two formalisms are presented describing the diffractionproperties of a structure which is doubly periodic by virtue of thepositioning of its two singly periodic elements. This arrangement istermed the crossed lamellar transmission grating. The first formalismuses a modal expansion to describe the field within the grooves of eachelement, while the second employs a rigorous multiple scattering approach.In particular, it is demonstrated that this structure has application as asolar heat mirror." @default.
• W839774328 created "2016-06-24" @default.
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• W839774328 date "1981-01-01" @default.
• W839774328 modified "2023-09-27" @default.
• W839774328 title "Application of modal techniques to multiply configured gratings" @default.
• W839774328 hasPublicationYear "1981" @default.
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