利用白光干涉技术测量块状材料的群折射率

张淑娜; 罗震岳; 沈伟东; 刘旭; 章岳光

doi:10.7498/aps.60.014221

摘要

对群折射率的精确而快速测量是光学工程领域一个基础而又亟需解决的难题,本文提出了一套光谱型迈克尔逊白光干涉系统的解决方案.该系统充分利用了微型光纤光谱仪一次测量便可获得所有干涉信息的特点,无需机械扫描装置,具有结构简单和测量快速的优点.与传统的窗口傅里叶变换算法相比,本文采用小波变换直接从干涉信号的小波脊中提取群延迟,减小了由相位求导得到群延迟过程中引入的误差放大效应,进而提高了群折射率的测量精度.基于此迈克尔逊白光干涉系统,在不同干涉位置处对两块不同厚度的石英和BK7玻璃进行了测量,实验结果表明此方法在宽

关键词:

Abstract

It is a radical but pressing problem to measure the group refractive index of dispersive material both accurately and rapidly in optical engineering field. In this paper, a white-light spectral interferometric system employing a fiber-optic spectrometer is developed for solving this problem. The system takes advantage of the characteristic of fiber-optic spectrometer which can get all the interferometric information by a single shot image without any mechanical scanning. Compared with the traditional windowed Fourier transform, a wavelet transform algorithm is used to directly extract the group delay rather than the phase from the interferogram. Therefore, the new method can provide a simple and fast solution, while still maintaining high accuracy. Based on this white-light Michelson interferometric system, fused silica and BK7 glass samples are measured respectively and the results agree well with the theoretical values over a broad spectral range. At the end of this paper, different mirror positions are used to verify the repeatability of our method.

Keywords:

作者及机构信息

1.
浙江大学现代光学仪器国家重点实验室,杭州 310027

基金项目: 国家自然科学基金(批准号:60708013和60778025)资助的课题.

Authors and contacts

1.
State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hangzhou 310027, China

参考文献

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[2]	Hirai A, Matsumoto H 2003 Opt. Lett. 28 2112
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[7]	Naganuma K, Mogi K, Yamada H 1990 Opt. Lett. 15 393
[8]	Hlubina P 2003 SPIE 5064 191
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[13]	Deng Y Q, Yang W J, Zhou C, Wang X, Tao J, Kong W P, Zhang Z G 2009 Opt. Express 17 6038
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[15]	Deng Y Q, Lang L Y, Xing Q R, Cao S Y, Yu J, Xu T, Li J, Xiong L M, Wang Q Y, Zhang Z G 2008 Acta Phys. Sin. 57 7747(in Chinese)[邓玉强、郎利影、邢岐荣、曹士英、于靖、徐涛、李健、熊利民、王清月、张志刚 2008 物理学报 57 7747] 〖17] Deng Y Q, Yang W J, Zhou C, Wang X, Tao J, Kong W P, Zhang Z G 2008 Opt. Lett. 33 2855
[16]	Tan T Y, Yi K, Shao J D, Fan Z X 2005 Chinese J. Lasers 32 1678(in Chinese)[谭天亚、易葵、邵建达、范正修 2005 中国激光 32 1678] 〖19] Hlubina P 2001 Optics Commun. 193 1
[17]	Kim S H, Lee S H, Lim J I, Kim K H 2010 Appl. Opt. 49 910
[18]	Deng Y Q, Cao S Y, Yu J, Xu T, Wang Q Y, Zhang Z G 2008 Acta Phys. Sin. 57 7017(in Chinese)[邓玉强、曹士英、于靖、徐涛、王清月、张志刚 2008 物理学报 57 7017]

施引文献

[1]	Li H, Xie S S, Lu Z K 1999 Acta Photon. Sin. 28 1075 (in Chinese) [李晖、谢树森、陆祖康 1999 光子学报 28 1075]
[2]	Hirai A, Matsumoto H 2003 Opt. Lett. 28 2112
[3]	Tan Z W, Zheng K, Liu Y, Fu Y J, Chen Y, Cao J H, Ning T G, Dong X W, Ma L N, Jian S S 2005 Acta Phys. Sin. 54 5218(in Chinese)[谭中伟、郑凯、刘艳、傅永军、陈勇、曹继红、宁提纲、董小伟、马丽娜、简水生 2005 物理学报 54 5218]
[4]	Tian J R, Han H N, Zhao Y Y, Wang P, Zhang W, Wei Z Y 2006 Acta. Phys. Sin. 55 4725(in Chinese)[田金荣、韩海年、赵研英、王鹏、张炜、魏志义 2006 物理学报 55 4725]
[5]	Dorrer C 2004 J.Opt.Soc.Am.B 21 1417
[6]	Amotchkina T V, Tikhonravov A V, Trubetskov M K, Grupe D, Apolonski A, Pervak V 2009 Appl. Opt. 48 949
[7]	Naganuma K, Mogi K, Yamada H 1990 Opt. Lett. 15 393
[8]	Hlubina P 2003 SPIE 5064 191
[9]	Murphy D F, Flavin D A 2000 Appl. Opt. 39 4607
[10]	Reolon D, Jacquot M, Verrier I, Brun G, Veillas C 2006 Opt. Express 14 12744
[11]	Kim S, Na J, Kim M J, Lee B H 2008 Opt. Express 16 5516
[12]	Xue H, Shen W D, Gu P F, Luo Z Y, Zhang Y G, Liu X 2009 Chin. Opt. Lett. 7 446
[13]	Deng Y Q, Yang W J, Zhou C, Wang X, Tao J, Kong W P, Zhang Z G 2009 Opt. Express 17 6038
[14]	Deng Y Q, Wu Z B, Chen S H, Chai L, Wang Q Y, Zhang Z G 2005 Acta Phys. Sin. 54 3716(in Chinese)[邓玉强、吴祖斌、陈盛华、柴路、王清月、张志刚 2005 物理学报 54 3716]
[15]	Deng Y Q, Lang L Y, Xing Q R, Cao S Y, Yu J, Xu T, Li J, Xiong L M, Wang Q Y, Zhang Z G 2008 Acta Phys. Sin. 57 7747(in Chinese)[邓玉强、郎利影、邢岐荣、曹士英、于靖、徐涛、李健、熊利民、王清月、张志刚 2008 物理学报 57 7747] 〖17] Deng Y Q, Yang W J, Zhou C, Wang X, Tao J, Kong W P, Zhang Z G 2008 Opt. Lett. 33 2855
[16]	Tan T Y, Yi K, Shao J D, Fan Z X 2005 Chinese J. Lasers 32 1678(in Chinese)[谭天亚、易葵、邵建达、范正修 2005 中国激光 32 1678] 〖19] Hlubina P 2001 Optics Commun. 193 1
[17]	Kim S H, Lee S H, Lim J I, Kim K H 2010 Appl. Opt. 49 910
[18]	Deng Y Q, Cao S Y, Yu J, Xu T, Wang Q Y, Zhang Z G 2008 Acta Phys. Sin. 57 7017(in Chinese)[邓玉强、曹士英、于靖、徐涛、王清月、张志刚 2008 物理学报 57 7017]

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