General Calculation Method of Diffraction Efficiency of Concave Blazed Gratings
LI Ting1, HUANG Yuan-shen1*, XU Bang-lian1, LI Bai-cheng1, ZHANG Da-wei1, 2, TAO Chun-xian1, LING Jin-zhong1, ZHUANG Song-lin1
1. School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China 2. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
Abstract：In order to make diffraction energy of concave gratings more concentrated in the desired order, the present paper puts forward that the concave blazed grating with variable groove angles could be fabricated on the concave substrates by mechanical ruling method, and the theoretical method of simultaneously calculating the diffraction efficiency in the main section and non-main section is deduced by using Fresnel-Kirchhoff’s diffraction formula, which makes up the shortage of the diffraction efficiency calculated only in the main section. Finally, the diffraction efficiency curves varied with wavelength is simulated by Matlab software, and the variation laws of the diffraction efficiency are compared for different production methods and application parameters, which provides a valuable reference for the design and production of the concave gratings.
[1] PI Dao-rui, HUANG Yuan-shen, ZHANG Da-wei, et al(皮道锐, 黄元申, 张大伟，等). Acta Physica Sinica(物理学报), 2010, 59(2): 1009. [2] LI Chao-ming, WU Jian-hong, ZHAO Yan-jiao, et al(李朝明，吴建宏，赵艳皎，等). Journal of Optoelectronics·Laser(光电子·激光), 2006, 17(7): 828. [3] Hutley M C, Hunter W R. Applied Optics, 1981, 20(2): 245. [4] LIN Guo-cheng, LIN Qiang, WANG Shao-min(林国成, 林 强, 王绍民). Journal of Optoelectronics·Lasers (光电子·激光), 2011, 60(9): 1. [5] Kowalski M P, Seely J F, Goray L I, et al. Applied Optics, 1997, 36(34): 8939. [6] Moharam M G, Pomment D A，Grann E B. J. Opt. Soc. Am., 1995, 12: 1077. [7] Bazhanov Y V，Kulakova N A. J. Opt. Technol., 2002, 69(12): 886. [8] Kulakoa N A, Mirumyants S O, Bugaenko A G. Journal of Opt. Technol.，2006, 73(10): 682. [9] Loewen E G, Popov E K, Tsonev L V, et al. Opt. Soc. Am., 1990, 7(9): 63. [10] Sokolova E A. Opt. Technol., 1999, 66(12): 89. [11] HUANG Wen-zhong, CAI Yu-qin(黄文忠，蔡玉琴). High Power Laser and Particle Beams(强激光与粒子束), 1997, 9(4): 525. [12] KOU Jie-ting, WU Na, BA Yinhexige, et al(寇婕婷, 吴 娜, 巴音贺西格，等). Optics and Precision Engineering(光学精密工程), 2012, 20(6): 1225. [13] ZHAO Chun-hua, YANG Yi(赵春华，杨 易). Acta Optica Sinica(光学学报), 1998, 18(8): 1145.
