Journal ArticleDOI
Convergence of Rayleigh-Fourier Method and Rigorous Differential Method for Relief Diffraction Gratings
Evgeny Popov,L. Mashev +1 more
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In this article, the Rayleigh-Fourier method and the method of Chandezon et al. were compared with respect to the threshold truncation value and the thickness of the coating layer.Abstract:
The Rayleigh-Fourier method and the method of Chandezon et al. for the calculation of diffraction efficiency of sinusoidal metal, dielectric and coated dielectric gratings are compared with respect to the threshold truncation value and the thickness of the coating layer. For shallow gratings the convergence of the two methods is practically one and the same. However, for deeper gratings the method of Chandezon et al. is more powerful. It is shown that for coated dielectric gratings the thickness of the layer imposes a limit on the truncation value, the limitations being weaker for the method of Chandezon et al.read more
Citations
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Theoretical Study of the Anomalies of Coated Dielectric Gratings
TL;DR: In this paper, the zero-order diffraction efficiency anomalies of a corrugated dielectric waveguide were studied theoretically in detail and a new and surprising phenomenon was observed: the efficiency changes from 0 to 100 per cent in the vicinity of the excitation of guided waves.
Journal ArticleDOI
Physical origin of directional beaming emitted from a subwavelength slit
Liang Bin Yu,Ding-Zheng Lin,Chen Yi Chun,You-Chia Chang,Kuo Tung Huang,Jiunn-Woei Liaw,Jyi Tyan Yeh,Jonq Min Liu,Chau-Shioung Yeh,Chih-Kung Lee +9 more
TL;DR: Jyi-Tyan Yeh, 2 Jonq-Min Liu, 2 Chau-Shioung Yeh and Chih-Kung Lee 1,3,4,* 1Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 2 Materials Research Laboratory, Industrial Technology Research Institute, Hsinchu, Taiwan 3 Institute of Engineering Science and Ocean Engineering, National Taiwanese University, Taiwan 4 Department of Engineering and Applied Sciences, National Science Council, Taiwan sReceived 16 September 2004; published 19 January 2005 d
Journal ArticleDOI
Scattering-matrix approach to multilayer diffraction
TL;DR: In this paper, a multilayer diffraction grating is proposed to determine the optical response function of a multi-layer structure with imposed periodicity in the plane of the layers, which is based on the well-established coordinate transformation procedure developed by Chandezon et al. in which a periodically modulated surface is transformed into a frame in which it is flat.
Journal ArticleDOI
Multilayer-coated diffraction gratings: differential method of Chandezon et al. revisited
TL;DR: In this paper, the R-matrix propagation algorithm is used to remove completely the previously existing limitations on the total coating thickness and the total number of coated layers, and the symmetry properties of the eigenvalue problem that arises in the differential formalism are analyzed.
Journal ArticleDOI
Conical diffraction mounting generalization of a rigorous differential method
Evgeny Popov,L Mashev +1 more
TL;DR: In this article, a generalization of the method of J. Chandezon et al. (1982) is presented for conical diffraction mounting and the applicability of the invariance theorem for real metal and dielectric gratings is discussed.
References
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Journal ArticleDOI
The Symmetric Eigenvalue Problem.
TL;DR: Parlett as discussed by the authors presents mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few.
Book
The Symmetric Eigenvalue Problem
TL;DR: Parlett as discussed by the authors presents mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few.
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Electromagnetic theory of gratings
TL;DR: In this article, the authors used the Rayleigh expansion and the Grating Formula to determine the coefficients of a Grating function in the context of point-matching and point matching.
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On the Dynamical Theory of Gratings
Journal ArticleDOI
Multicoated gratings: a differential formalism applicable in the entire optical region
TL;DR: 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.
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