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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.
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Keywords:
- white-light interferometry /
- group refractive index /
- wavelet transform /
- Fourier transform
[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 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 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 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 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 57 7017]
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[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 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 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 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 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 57 7017]
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