Effect of higher-order diffraction on the interference formed by Bragg scattering for large size optical surfaces
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 f...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-03-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719334953 |
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| author | Dong-Ho Lee June Gyu Park Hong Seung Kim Ji Yong Bae Byeongjoon Jeong Dong Uk Kim Kye-Sung Lee Geon-Hee Kim Ki Soo Chang I Jong Kim |
| author_facet | Dong-Ho Lee June Gyu Park Hong Seung Kim Ji Yong Bae Byeongjoon Jeong Dong Uk Kim Kye-Sung Lee Geon-Hee Kim Ki Soo Chang I Jong Kim |
| author_sort | Dong-Ho Lee |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T17:41:54Z |
| format | Article |
| id | doaj.art-61af75c78559486b94ae3e9b2a50b4e1 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-12T17:41:54Z |
| publishDate | 2020-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-61af75c78559486b94ae3e9b2a50b4e12022-12-22T00:17:03ZengElsevierResults in Physics2211-37972020-03-0116102968Effect of higher-order diffraction on the interference formed by Bragg scattering for large size optical surfacesDong-Ho Lee0June Gyu Park1Hong Seung Kim2Ji Yong Bae3Byeongjoon Jeong4Dong Uk Kim5Kye-Sung Lee6Geon-Hee Kim7Ki Soo Chang8I Jong Kim9Center for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCenter for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCenter for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCenter for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCenter for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCenter for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCenter for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCenter for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCenter for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaCorresponding author.; Center for Scientific Instrumentation, Korea Basic Science Institute, 169-148 Gwahak-ro, Yuseong-gu, Daejeon 34133, South KoreaWith 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.http://www.sciencedirect.com/science/article/pii/S2211379719334953InterferenceBragg scatteringMillimeter scale periodic structureFourier optics simulation |
| spellingShingle | Dong-Ho Lee June Gyu Park Hong Seung Kim Ji Yong Bae Byeongjoon Jeong Dong Uk Kim Kye-Sung Lee Geon-Hee Kim Ki Soo Chang I Jong Kim Effect of higher-order diffraction on the interference formed by Bragg scattering for large size optical surfaces Results in Physics Interference Bragg scattering Millimeter scale periodic structure Fourier optics simulation |
| title | Effect of higher-order diffraction on the interference formed by Bragg scattering for large size optical surfaces |
| title_full | Effect of higher-order diffraction on the interference formed by Bragg scattering for large size optical surfaces |
| title_fullStr | Effect of higher-order diffraction on the interference formed by Bragg scattering for large size optical surfaces |
| title_full_unstemmed | Effect of higher-order diffraction on the interference formed by Bragg scattering for large size optical surfaces |
| title_short | Effect of higher-order diffraction on the interference formed by Bragg scattering for large size optical surfaces |
| title_sort | effect of higher order diffraction on the interference formed by bragg scattering for large size optical surfaces |
| topic | Interference Bragg scattering Millimeter scale periodic structure Fourier optics simulation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379719334953 |
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