Lee, Dong-Ho
(Corresponding author.)
,
Park, June Gyu
,
Kim, Hong Seung
,
Bae, Ji Yong
,
Jeong, Byeongjoon
,
Kim, Dong Uk
,
Lee, Kye-Sung
,
Kim, Geon-Hee
,
Chang, Ki Soo
,
Kim, I Jong
Abstract With an increase in the size and shape complexity of optical surfaces, the periodic structure on the optical surface can have significant effects on the beam profile, which propagates in the optical system. This necessitates a quantitative analysis of the interference between diffracted be...
Abstract With an increase in the size and shape complexity of optical surfaces, the periodic structure on the optical surface can have significant effects on the beam profile, which propagates in the optical system. This necessitates a quantitative analysis of the interference between diffracted beam modes formed on the propagating beam profile after the reflection on the optical surfaces with periodic structures. Herein, a generalized equation, which determines the period of the constructive interference formed by Bragg scattering, is presented for the only two diffracted beam modes given by the mth and nth order. Two theoretical calculations, one being an analytical calculation based on the interference equation, and the other being a numerical simulation based on Fourier optics, are conducted for all the diffracted beam modes to reflect the effects of higher-order diffraction. Furthermore, the simulation results based on the Fourier optics are much closer to real phenomena because the boundary conditions are exactly considered. As the aspect ratio of the periodic structure on the optical surface increases, the period of constructive interference decreases, and its intensity is remarkably increased from the two theoretical calculations. Our results will be extensively applied as a novel theoretical tool to analyze quantitatively the effects of periodic structures on the propagating beam profile by providing a deep understanding about the interference formed by Bragg scattering. Highlights We studied Bragg scattering formed by periodic structures on optical surfaces. Bragg-scattering-induced interference was quantified with a closed-form equation. Two theoretical methods analyzed Bragg-scattering-induced interferences. Aspect ratio increases caused interference period decreases and intensity increases.
Abstract With an increase in the size and shape complexity of optical surfaces, the periodic structure on the optical surface can have significant effects on the beam profile, which propagates in the optical system. This necessitates a quantitative analysis of the interference between diffracted beam modes formed on the propagating beam profile after the reflection on the optical surfaces with periodic structures. Herein, a generalized equation, which determines the period of the constructive interference formed by Bragg scattering, is presented for the only two diffracted beam modes given by the mth and nth order. Two theoretical calculations, one being an analytical calculation based on the interference equation, and the other being a numerical simulation based on Fourier optics, are conducted for all the diffracted beam modes to reflect the effects of higher-order diffraction. Furthermore, the simulation results based on the Fourier optics are much closer to real phenomena because the boundary conditions are exactly considered. As the aspect ratio of the periodic structure on the optical surface increases, the period of constructive interference decreases, and its intensity is remarkably increased from the two theoretical calculations. Our results will be extensively applied as a novel theoretical tool to analyze quantitatively the effects of periodic structures on the propagating beam profile by providing a deep understanding about the interference formed by Bragg scattering. Highlights We studied Bragg scattering formed by periodic structures on optical surfaces. Bragg-scattering-induced interference was quantified with a closed-form equation. Two theoretical methods analyzed Bragg-scattering-induced interferences. Aspect ratio increases caused interference period decreases and intensity increases.
Appl Opt Duparré 41 154 2002 10.1364/AO.41.000154 Surface characterization techniques for determining the root-mean-square roughness and power spectral densities of optical components
Int J Mach Tools Manuf Cheung 40 979 2000 10.1016/S0890-6955(99)00103-0 A theoretical and experimental investigation of surface roughness formation in ultra-precision diamond turning
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