Analysis of anisotropic dielectric grating diffraction using the finite-element method

“…(112) and (113) were obtained from the Maxwell equations (13) and (14) in a general infinite periodic anisotropic medium characterized by a periodic permittivity tensor (15) assuming monochromatic plane wave solutions (19) and (20) in a specific Cartesian coordinate system. The elements of the generalized matrices C and D are themselves matrix expressions.…”

Section: General Casementioning

confidence: 99%

“…The analytical Fourier modal formalism by Rokushima and Yamakita [1] treating the Fraunhofer diffraction in planar multilayered anisotropic gratings proved to be a useful introduction to many recent fundamental and practical problems dealing with the response of electromagnetic waves to layered laterally structured periodic multilayer media [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21], including periodic magnetic multilayers [22,23], and photonic crystals [24][25][26]. The subject forms the basis for the solution of inverse problems employed, e.g.…”

Section: Introductionmentioning

confidence: 99%

Optics of anisotropic nanostructures

et al. 2006

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The analytical formalism of Rokushima and Yamakita [J. Opt. Soc. Am. 73, 901-908 (1983)] treating the Fraunhofer diffraction in planar multilayered anisotropic gratings proved to be a useful introduction to new fundamental and practical situations encountered in laterally structured periodic (both isotropic and anisotropic) multilayer media. These are employed in the spectroscopic ellipsometry for modeling surface roughness and in-depth profiles, as well as in the design of various frequency-selective elements including photonic crystals. The subject forms the basis for the solution of inverse problems in scatterometry of periodic nanostructures including magnetic and magneto-optic recording media. It has no principal limitations as for the frequencies and period to radiation wavelength ratios and may include matter wave diffraction. The aim of the paper is to make this formalism easily accessible to a broader community of students and non-specialists. Many aspects of traditional electromagnetic optics are covered as special cases from a modern and more general point of view, e.g., plane wave propagation in isotropic media, reflection and refraction at interfaces, Fabry-Perot resonator, optics of thin films and multilayers, slab dielectric waveguides, crystal optics, acousto-, electro-, and magneto-optics, diffraction gratings, etc. The formalism is illustrated on a model simulating the diffraction on a ferromagnetic wire grating.

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“…To deal with this issue and rigorously solve Maxwell equations in complex diffractive structures, we have extended our 2D new formulation 4 of the FEM. 5, 6 We present here this adaptation to the case of multilayered diffractive structures. We compare some numerical simulations to measurements of the spectral response of large test photodiodes.…”

Section: Introductionmentioning

confidence: 99%

The Finite Element Method as applied to the calculation of the quantum efficiency in optoelectronic imaging devices

et al. 2008

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We present a new formulation of the Finite Element Method (FEM) dedicated to the 2D rigorous solving of Maxwell equations adapted to the calculation of the diffracted field in optoelectronic subwavelength structures. The advantage of this method is that its implementation remains independent of the number of layers in the structure, of the number of diffractive patterns, of the geometry of the diffractive object and of the properties of the materials.The spectral response of large test photodiodes that can legitimately be represented in 2D has been measured on a dedicated optical bench and confronted to the theory. The representativeness of the model as well as the possibility of conceiving this way simply processable diffractive spectral filters are discussed.

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Analysis of anisotropic dielectric grating diffraction using the finite-element method

Cited by 24 publications

References 17 publications

Finite element analysis of polarization characteristics of chiral gratings

Finite element analysis of polarization characteristics of chiral gratings

Optics of anisotropic nanostructures

The Finite Element Method as applied to the calculation of the quantum efficiency in optoelectronic imaging devices

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