Diffraction pattern of triangular grating in the resonance domain

Hoshino, Tetsuya; Banerjee, Saswatee; Itoh, Masahide; Yatagai, Toyohiko

doi:10.1364/josaa.26.000715

Cited by 16 publications

(11 citation statements)

References 23 publications

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“…A single slit with an aperture width v has a diffraction pattern whose main peak width is proportional to the v/λ value of the scatterer. This is also applicable to an infinite triangular grating [25]. The width of the diffraction pattern envelope for a triangular grating is also proportional to v/λ.…”

Section: Fraunhofer Diffraction Theory and Rcwamentioning

confidence: 90%

Precise and rapid distance measurements by scatterometry

2012

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We found that the distances between isolated scatterers with similar columnar shapes could be measured by taking a single Fourier transform of their diffraction intensity. If the scatterers have different shapes, the distances between similar shapes can be selected from the distances between all the shapes. The distance from a specific scatterer can be measured with a resolution of 0.8 wavelengths and a precision of 0.01 wavelengths. This technique has the potential to be used in a novel optical memory that has a memory density as high as that of holographic memory, while can be fabricated by simple transfer molding. We used rigorous coupled-wave analysis to calculate the diffraction intensity. Some of the results were verified by nonstandard finite-difference time-domain simulations and experiments.

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Section: Fraunhofer Diffraction Theory and Rcwamentioning

confidence: 90%

Precise and rapid distance measurements by scatterometry

2012

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“…37 Specifically, when Λ∕λ ≥ 20, physical optics according to Fresnel and Snell's laws can explain the behavior of the diffraction efficiency of these optical elements. 37,52 This simplified theory is based on the general equation for diffraction efficiency η in scalar approximation for a periodic structure as 37,53 ηðλÞ ¼…”

Section: Accuracy Analysis Of the Scalar Diffraction Theorymentioning

confidence: 99%

Acceleration of split-field finite difference time-domain method for anisotropic media by means of graphics processing unit computing

et al. 2013

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Abstract. The implementation of split-field finite difference time domain (SF-FDTD) applied to light-wave propagation through periodic media with arbitrary anisotropy method in graphics processing units (GPUs) is described. The SF-FDTD technique and the periodic boundary condition allow the consideration of a single period of the structure reducing the simulation grid. Nevertheless, the analysis of the anisotropic media implies considering all the electromagnetic field components and the use of complex notation. These aspects reduce the computational efficiency of the numerical method compared with the isotropic and nonperiodic implementation. Specifically, the implementation of the SF-FDTD in the Kepler family of GPUs of NVIDIA is presented. An analysis of the performance of this implementation is done, and several applications have been considered in order to estimate the possibilities provided by both the formalism and the implementation into GPU: binary phase gratings and twisted-nematic liquid crystal cells. Regarding the analysis of binary phase gratings, the validity of the scalar diffraction theory is evaluated by the comparison of the diffraction efficiencies predicted by SF-FDTD. The analysis for the second order of diffraction is extended, which is considered as a reference for the transmittance obtained by the SF-FDTD scheme for periodic media.

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“…This theory provides reasonably accurate results when the periodicity of the surface profile is much larger than the wavelength of the incident light 3 . Specifically, when Λ/λ ≥ 20, physical optics according to Fresnel and Snell's laws can explain the behavior of the diffraction efficiency of these optical elements 3,4 . This simplified theory is based on the general equation for diffraction efficiency η in scalar approximation for a periodic structure as 3,5 (1) where t(x) is a function defined as the ratio of transmitted (or reflected) and incident wave amplitudes at location x, and m is the diffracted order.…”

Section: Scalar Diffraction Theorymentioning

confidence: 99%

“…The triangular surface relief grating can be decomposed into planar gratings 4,7 as shown in Fig. 2.…”

Section: Effective Medium Theorymentioning

confidence: 99%

“…Binary phase gratings are of wide interest owing to many applications in quantum electronics, integrated optics, spectroscopy, and holography [1][2] . Triangular gratings are promising for applications requiring antireflection, polarization selection and spreading, which are best explained in terms of diffractive optics rather than ray optics 4 .…”

Section: Introductionmentioning

confidence: 99%

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Comparison of simplified theories in the analysis of the diffraction efficiency in surface-relief gratings

et al. 2012

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In this work a set of simplified theories for predicting diffraction efficiencies of diffraction phase and triangular gratings are considered. The simplified theories applied are the scalar diffraction and the effective medium theories. These theories are used in a wide range of the value Λ/λ and for different angles of incidence. However, when 1 ≤ Λ/λ ≤ 10, the behaviour of the diffraction light is difficult to understand intuitively and the simplified theories are not accurate. The accuracy of these formalisms is compared with both rigorous coupled wave theory and the finite-difference time domain method. Regarding the RCWT, the influence of the number of harmonics considered in the Fourier basis in the accuracy of the model is analyzed for different surface-relief gratings. In all cases the FDTD method is used for validating the results of the rest of theories. The FDTD method permits to visualize the interaction between the electromagnetic fields within the whole structure providing reliable information in real time. The drawbacks related with the spatial and time resolution of the finite-difference methods has been avoided by means of massive parallel implementation based on graphics processing units. Furthermore, analysis of the performance of the parallel method is shown obtaining a severe improvement respect to the classical version of the FDTD method.

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Diffraction pattern of triangular grating in the resonance domain

Cited by 16 publications

References 23 publications

Precise and rapid distance measurements by scatterometry

Precise and rapid distance measurements by scatterometry

Acceleration of split-field finite difference time-domain method for anisotropic media by means of graphics processing unit computing

Comparison of simplified theories in the analysis of the diffraction efficiency in surface-relief gratings

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