Diffraction of a finite-cross-section light beam by the grating: Theoretical analysis and experimental verification

Fitio, Volodymyr; Bendziak, Andrii; Yezhov, Pavel V.; Hryn, Volodymyr; Sakhno, Oksana; Smirnova, T. V.

doi:10.1016/j.ijleo.2021.168550

Cited by 5 publications

(7 citation statements)

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“…This problem has been analyzed in a relatively small number of scientific works. Apparently, this is due to the fact that the result of the diffraction of a finite cross-section beam by the grating almost coincides with the result of the diffraction of the plane wave in the absence of resonance [ 20 ].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the sum of the powers of reflected and transmitted beams is equal to the power of the incident beam on the grating. Results of studies of finite beam diffraction by non-absorbing gratings obtained by the holographic method using the photosensitive media were obtained using this method [ 20 , 34 ]. Such gratings are characterized by the low modulation of the grating medium refractive index.…”

Section: Introductionmentioning

confidence: 99%

“…Such gratings are characterized by the low modulation of the grating medium refractive index. In [ 20 ], diffraction analysis of the one-dimensional Gaussian beam and the beam described by the

[ 35 ] function was performed. Experimental data [ 20 ] of the reflection coefficient dependence on the beam width coincided well with the corresponding dependence obtained by the numerical method, according to the developed theory.…”

Section: Introductionmentioning

confidence: 99%

“…There is no bandgap [ 41 ] in the case of low dielectric contrast in the photonic crystal. Thus, such sensors will have a high FOM [ 2 , 20 , 34 ].…”

Section: Introductionmentioning

confidence: 99%

“…It was found that FOMs are equal in wavelength and angle, both for a plane wave [ 2 ] and for the limited beam in cross-section [ 20 , 34 ] for sensors based on the holographic gratings (small modulation of the grating medium refractive index). In addition, it was shown that FWHM for the plane wave is uniquely related by the analytical expression linking wavelength, grating period, beam angle, and wavelength attenuation constant of waveguide mode at the propagation by the grating [ 20 ]. Moreover, the constant attenuation was determined at the grating irradiation by the Gaussian beam.…”

Section: Introductionmentioning

confidence: 99%

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Spectral and Angular Characteristics of the High-Contrast Dielectric Grating under the Resonant Interaction of a Plane Wave and a Gaussian Beam

et al. 2022

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The resonant interaction of a plane wave and a one-dimensional Gaussian beam with a high-contrast dielectric grating was analyzed. Rigorous coupled wave analysis (RCWA) was used to numerically model the diffraction of a plane wave by the grating. RCWA, a discrete Fourier transform at the fulfillment (of the conditions) of the sampling theorem, was used to study diffraction of the Gaussian beam. The grating can be considered as a one-dimensional photonic crystal along which the waveguide mode propagates under resonance. The corresponding photonic crystal has both allowed and forbidden photonic bands for the propagating waveguide mode under resonance due to the high-contrast dielectric permittivity. There is no significant difference between the spectral and angular characteristics under the interaction of the plane wave or the Gaussian beam with grating, if the waveguide mode is in the forbidden photonic bandgap. The reflection coefficient from the grating is practically equal to unity for both cases. Resonant spectral and angular characteristics become wider at the Gaussian beam diffraction compared to the resonance curves for the plane wave in the case when the waveguide mode is in the allowed photon bandgap. The reflection coefficient from the grating becomes less than unity and its value tends to unity when the Gaussian beam width increases.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Such gratings are characterized by the low modulation of the grating medium refractive index. In [ 20 ], diffraction analysis of the one-dimensional Gaussian beam and the beam described by the

Section: Introductionmentioning

confidence: 99%

“…There is no bandgap [ 41 ] in the case of low dielectric contrast in the photonic crystal. Thus, such sensors will have a high FOM [ 2 , 20 , 34 ].…”

Section: Introductionmentioning

confidence: 99%