Volume 13 Issue 3
Jun.  2020
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ZHU Yu-yu, XI Ya-ru, ZHANG Ya-ni, JIANG Peng, XUE Lu, XU Qiang. Numerical simulation of transmission spectra characterization of long-period fiber grating[J]. Chinese Optics, 2020, 13(3): 451-458. doi: 10.3788/CO.2019-0152
Citation: ZHU Yu-yu, XI Ya-ru, ZHANG Ya-ni, JIANG Peng, XUE Lu, XU Qiang. Numerical simulation of transmission spectra characterization of long-period fiber grating[J]. Chinese Optics, 2020, 13(3): 451-458. doi: 10.3788/CO.2019-0152

Numerical simulation of transmission spectra characterization of long-period fiber grating

doi: 10.3788/CO.2019-0152
Funds:  Supported by National Natural Science Foundation of China (No. 11647008); International Science & Technology Cooperation and Exchanges Project of Shaanxi (No. 2018KW-16); Open Research Fund of State Key Laboratory of Transient Optics and Photonics (No. SKLST201802); Key Sciences and Technology Project of Baoji City (No. 2015CXNL-1-3); Science and Technology Project of Xianyang City (No. 2018K02-60); Key Research Project of Shaanxi University of Science & Technology (No. 2018WLXY-01-01)
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  • Based on the coupled-mode theory, the equation for the transmission spectrum of Long Period Fiber Gratings (LPFGs) is solved by using the transmission matrix method and the relationship between the spectral characteristics of LPFGs and grating parameters (such as grating period, writing length and the depth of refractive index modulation) is simulated. The results show that the resonant wavelength of LPFGs is red-shifted with an increase in the grating period and refractive index modulation depth, and that the resonant wavelength with higher-order mode is relatively more sensitive on the grating period. At the same time, the change in the spectral bandwidth mainly depends on the writing length of the grating. The bandwidth narrows gradually with an increase in the length of the grating and over-coupling occurs when the grating length is higher than 5.2 cm. With an increase in the refractive index modulation depth, the grating has the phenomena of incomplete coupling, complete coupling and over-coupling, and the position of the maximum resonance loss will gradually transfer to the lower-order mode. The results of this research have important referential significance for the theoretical research of LPFGs and parameter designs in practical applications.
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Numerical simulation of transmission spectra characterization of long-period fiber grating

doi: 10.3788/CO.2019-0152
Funds:  Supported by National Natural Science Foundation of China (No. 11647008); International Science & Technology Cooperation and Exchanges Project of Shaanxi (No. 2018KW-16); Open Research Fund of State Key Laboratory of Transient Optics and Photonics (No. SKLST201802); Key Sciences and Technology Project of Baoji City (No. 2015CXNL-1-3); Science and Technology Project of Xianyang City (No. 2018K02-60); Key Research Project of Shaanxi University of Science & Technology (No. 2018WLXY-01-01)

Abstract: Based on the coupled-mode theory, the equation for the transmission spectrum of Long Period Fiber Gratings (LPFGs) is solved by using the transmission matrix method and the relationship between the spectral characteristics of LPFGs and grating parameters (such as grating period, writing length and the depth of refractive index modulation) is simulated. The results show that the resonant wavelength of LPFGs is red-shifted with an increase in the grating period and refractive index modulation depth, and that the resonant wavelength with higher-order mode is relatively more sensitive on the grating period. At the same time, the change in the spectral bandwidth mainly depends on the writing length of the grating. The bandwidth narrows gradually with an increase in the length of the grating and over-coupling occurs when the grating length is higher than 5.2 cm. With an increase in the refractive index modulation depth, the grating has the phenomena of incomplete coupling, complete coupling and over-coupling, and the position of the maximum resonance loss will gradually transfer to the lower-order mode. The results of this research have important referential significance for the theoretical research of LPFGs and parameter designs in practical applications.

ZHU Yu-yu, XI Ya-ru, ZHANG Ya-ni, JIANG Peng, XUE Lu, XU Qiang. Numerical simulation of transmission spectra characterization of long-period fiber grating[J]. Chinese Optics, 2020, 13(3): 451-458. doi: 10.3788/CO.2019-0152
Citation: ZHU Yu-yu, XI Ya-ru, ZHANG Ya-ni, JIANG Peng, XUE Lu, XU Qiang. Numerical simulation of transmission spectra characterization of long-period fiber grating[J]. Chinese Optics, 2020, 13(3): 451-458. doi: 10.3788/CO.2019-0152

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