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Journal ArticleDOI

A New Theory of Wood’s Anomalies on Optical Gratings

A. Hessel, +1 more
- 01 Oct 1965 - 
- Vol. 4, Iss: 10, pp 1275-1297
TLDR
In this paper, a new theory of Wood's anomalies is presented which is based on a guided wave approach rather than the customary multiple scattering procedure, which provides both new insight and a method of calculation.
Abstract
A new theory of Wood’s anomalies is presented which is based on a guided wave approach rather than the customary multiple scattering procedure. This approach provides both new insight and a method of calculation. It is shown that two distinct types of anomalies may exist: a Rayleigh wavelength type due to the emergence of a new spectal order at grazing angle, and a resonance type which is related to the guided complex waves supportable by the grating. A general theoretical treatment is presented which makes use of a surface reactance to take into account the standing waves in the grating grooves, and which derives the locations and detailed shapes of the anomalies. Rigorous results are obtained for a specific example; the amplitudes of all of the spectral orders are determined explicitly, and the Wood’s anomaly effects are demonstrated clearly in graphical form for a variety of cases.

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Citations
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Journal ArticleDOI

Fano resonances in nanoscale structures

TL;DR: In this paper, the authors introduce the concept of Fano resonances, which can be reduced to the interaction of a discrete (localized) state with a continuum of propagation modes, and explain their geometrical and/or dynamical origin.
Journal ArticleDOI

Temporal coupled-mode theory for the Fano resonance in optical resonators

TL;DR: A theory of the Fano resonance for optical resonators, based on a temporal coupled-mode formalism, is presented and it is shown that the coupling constants in such a theory are strongly constrained by energy-conservation and time-reversal symmetry considerations.
Journal ArticleDOI

Theory and applications of guided-mode resonance filters

TL;DR: The guided-mode resonance filter represents a basic new optical element with significant potential for practical applications and is presented and explained.
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Light passing through subwavelength apertures

TL;DR: In this paper, the authors provide a perspective on the recent developments in the transmission of light through subwavelength apertures in metal films, and the physical mechanisms operating in the different structures considered are analyzed within a common theoretical framework.
References
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Journal ArticleDOI

XLII. On a remarkable case of uneven distribution of light in a diffraction grating spectrum

TL;DR: In this paper, a remarkable case of uneven distribution of light in a diffraction grating spectrum is discussed, where the authors consider a case where the distribution of the light in the diffraction spectrum is uneven.
Journal ArticleDOI

Multiple scattering of waves and optical phenomena.

TL;DR: Starting with the most elementary multiple scattering problem, a symmetrically excited pair of monopoles, both “successive-scattering” and “self-consistent” procedures are used to obtain the closed-form multiply scattered amplitude in terms of the singly scattered value.
Journal ArticleDOI

Parallel diffraction grating anomalies

TL;DR: In this paper, it was shown that very thin layers of dielectric of the order of a fraction of a wavelength thick modify the appearance of both parallel and perpendicular anomalies, although a thickness of about one and one-half wavelengths is required before the anomalous wavelength begins to shift.
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