Journal ArticleDOI
Multicoated gratings: a differential formalism applicable in the entire optical region
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TLDR
In this paper, a new formalism for the diffraction of an electromagnetic plane wave by a multicoated grating is presented, which uses a coordinate system that maps all the interfaces onto parallel planes.Abstract:
We present a new formalism for the diffraction of an electromagnetic plane wave by a multicoated grating. Its basic feature lies in the use of a coordinate system that maps all the interfaces onto parallel planes. Using Maxwell’s equations in this new system leads to a linear system of differential equations with constant coefficients whose solution is obtained through the calculation of the eigenvalues and eigenvectors of a matrix in each medium. Through classical criteria, our numerical results have been found generally to be accurate to within 1%. The serious numerical difficulties encountered by the previous differential formalism for highly conducting metallic gratings completely disappear, whatever the optical region. Furthermore, our computer code provides accurate results for metallic gratings covered by many modulated dielectric coatings or for highly modulated gratings. We give two kinds of applications. The first concerns the use of dielectric coatings on a modulated metallic substrate to minimize the absorption of energy. Conversely, the second describes the use of highly modulated metallic gratings to increase this absorption.read more
Citations
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Surface plasmon resonance sensors: review
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Journal ArticleDOI
Use of Fourier series in the analysis of discontinuous periodic structures
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Long-range surface plasmon polaritons
TL;DR: Long-range surface plasmon polaritons (LRSPPs) are optical surface waves that propagate along a thin symmetric metal slab or stripe over an appreciable length as discussed by the authors.
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Towards integrated and sensitive surface plasmon resonance biosensors: a review of recent progress.
TL;DR: This review paper focuses on the progress made over the past 4 years toward the integration of sensitive SPR to lab-on-a-chip platforms and descriptions of novel SPR optical approaches and materials.
Journal ArticleDOI
S4 : A free electromagnetic solver for layered periodic structures
Victor Liu,Shanhui Fan +1 more
TL;DR: S 4 is described, a free implementation of the Fourier modal method (FMM), which has also been commonly referred to as rigorous coupled wave analysis (RCWA), for simulating electromagnetic propagation through 3D structures with 2D periodicity and the design aspects that allow S 4 to be a flexible platform for these types of simulations are detailed.
References
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Journal ArticleDOI
Reduction of Lens Reflexion by the “Moth Eye” Principle
P. B. Clapham,M. C. Hutley +1 more
TL;DR: In this article, Bernhard et al. proposed that the function of this structure might be to suppress reflexions by effectively proving a graded transition of refractive index between the air and the cornea.
Journal ArticleDOI
A new theoretical method for diffraction gratings and its numerical application
J Chandezon,G Raoult,D Maystre +2 more
TL;DR: In this paper, a new formalism for the study of diffraction by a grating is described, characterized by a translation coordinate system which allows one to write a system of linear partial differential equations with constant coefficients, after using the Maxwell equations in curvilinear coordinates.
Journal ArticleDOI
A new general integral theory for dielectric coated gratings
TL;DR: In this paper, a new rigorous integral formalism for the theoretical study of dielectric coated gratings and grating couplers is presented, which applies in the resonance domain, where the wavelength of the incident field and the groove spacing are of the same order of magnitude.
Journal ArticleDOI
Theory of conducting gratings and their applications to Optics
M Nevière,P Vincent,R Petit +2 more
TL;DR: In this article, a method to study the diffraction of an electromagnetic plane wave by a grating, in the case where it has a finite conductivity, is described for both classical cases of polarization.