Curve-fitting algorithm of measuring focusing constant of gradient-index fiber lens

WANG Chi; XU Ting-ting; BI Shu-bo; ZHU Jun; YUAN Zhi-wen

doi:10.3788/OPE.20152312.3309

您当前的位置：

首页 >

文章列表页 >

Curve-fitting algorithm of measuring focusing constant of gradient-index fiber lens

Modern Applied Optics | 更新时间：2020-08-13

- Curve-fitting algorithm of measuring focusing constant of gradient-index fiber lens
- Optics and Precision Engineering Vol. 23, Issue 12, Pages: 3309-3315(2015)
- 作者机构：
  
  1. 上海大学精密机械工程系上海,200072
  2. 近地面探测技术重点实验室, 江苏无锡 214035
  3. 天津大学精密测试技术及仪器国家重点实验室, 天津 300072
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20152312.3309
  CLC： O437;TN253
- Revised：03 November 2015，
  
  Published：25 December 2015
- 稿件说明：
移动端阅览
王驰, 许婷婷, 毕书博等. 测量自聚焦光纤透镜聚焦常数的曲线拟合算法[J]. 光学精密工程, 2015,23(12): 3309-3315

WANG Chi, XU Ting-ting, BI Shu-bo etc. Curve-fitting algorithm of measuring focusing constant of gradient-index fiber lens[J]. Editorial Office of Optics and Precision Engineering, 2015,23(12): 3309-3315
王驰, 许婷婷, 毕书博等. 测量自聚焦光纤透镜聚焦常数的曲线拟合算法[J]. 光学精密工程, 2015,23(12): 3309-3315 DOI： 10.3788/OPE.20152312.3309.

WANG Chi, XU Ting-ting, BI Shu-bo etc. Curve-fitting algorithm of measuring focusing constant of gradient-index fiber lens[J]. Editorial Office of Optics and Precision Engineering, 2015,23(12): 3309-3315 DOI： 10.3788/OPE.20152312.3309.

摘要

提出了基于曲线拟合的光纤透镜聚焦常数的测试方法

用于超小自聚焦光纤探头研制过程中聚焦常数的直接测试。基于自聚焦光纤透镜模型及其折射率分布特征

研究了测量自聚焦光纤透镜聚焦常数的二次多项式拟合和线性化拟合算法。论述了聚焦常数对超小自聚焦光纤探针传光性能的影响。利用光纤端面折射率测试仪测试自聚焦光纤的折射率分布轮廓曲线

根据二次多项式拟合和线性化拟合算法分别求得聚焦常数和中心折射率。实验结果显示

利用二次多项式拟合算法和线性拟合算法求出的聚焦常数分别为5.587 mm

-1

和5.513 mm

-1

与厂家的标称值5.5 mm

-1

基本吻合

表明曲线拟合算法适用于对自聚焦光纤透镜聚焦常数的测量与分析。

Abstract

The curve-fitting algorithms were proposed to measure directly the focusing constant of a gradient-index (GRIN) fiber lens to further design ultra-small GRIN fiber probes. The quadratic polynomial algorithm and linear fitting method for measuring the focusing constant of GRIN fiber lens were investigated based on the characteristics of refractive index profile of the GRIN fiber lens and its model. Then

the effect of the focusing constant on the light-transporting characteristics of ultra-small GRIN fiber probes was discussed. The refractive index profile of the GRIN fiber lens was acquired by using an optical fiber refractive index profile tester. And then the focusing constant and center refractivity were obtained by the quadratic polynomial algorithm and linear fitting method. The results show that the fitted values of the focusing constant are calculated to be 5.587 mm

-1

and 5.513 mm

-1

respectively with the quadratic polynomial algorithm and linear fitting method

which agree well with the nominal value of 5.5 mm

-1

provided by the manufacturer. The fitting results show that the proposed curve fitting algorithms are feasible to measure and analyze the focusing constants of GRIN fiber lenses.

关键词

Keywords

references

MAO Y X, CHANG S D. Graded-index fiber lens proposed for ultrasmall probes used in biomedical imaging [J]. Appl. Opt., 2007, 46(23):5887 - 5894.

MIN E J, NA J, RYU S Y, et al.. Single-body lensed-fiber scanning probe actuated by magnetic force for optical imaging[J]. Opt. Lett., 2009, 34(12): 1897-1899.

MAO Y X, CHANG S D, FLUERARU C. Fiber lens for ultra-small probes used in optical coherent tomography[J]. J. Biomedical Science and Engineering, 2010, 3(1):27-34.

WANG C, MAO Y X, TANG Z, et al..Numerical analysis of GRIN lens based miniature probes for optical coherence tomography[J]. Optics and Precision Engineering, 2011, 19(9): 2300-2307.

SLADERN F M E, PAYNE D N, PAYNE M J.Determination of optical fiber refractive index profiles by a near-field scanning technique[J].Applied Physics Letters,1976, 28(5):255-258.

MARCUSE D.Refractive index determination by focusing method[J]. Appl. Opt.,1979,18(1): 9-13.

GERASIMOVA L A.Interferometric profile the refractive-index optical blanks[J]. Appl. Opt.,1996,35(16): 2997-3001.

SUN X H, MA H, MING H, et al..The measurement of refractive index profile and aberration of radial gradient index lens by using imaging method[J].Optics and Laser Technology,2004,36(2):163-166.

CHAO Y F,LEE K Y. Index profile of radial gradient index lens measured by imaging ellipsometric technique[J]. Japanese Journal of Applied Physics, 2005, 42(2): 1111-1114.

YOUK Y CH, KIM D Y. A simple reflection-type two-dimensional refractive index profile measurement technique for optical waveguides[J].Optics Communications, 2006, 262(2):206-210.

LV H, LIU A, TONG J F, et al..Nondestructive measurement of refractive index profile of gradient refractive index rod lens[J].Review of Scientific Instruments,2010,81(10):103104.

EL-HENNAWI H A, EL-DIASTY F, EI-GHANDOOR H, et al.. Multiple-beam interference fringes applied to investigate the index profile of the optical fiber dip[J]. Opt. Quant. Electron., 2012, 43:35-48.

MCNEILLIE F C, THOMSON J, RUDDOCK I S.The imaging properties of gradient index optical fibres[J].European Journal of Physics, 2004,25(4):479-487.

WANG CH, MAO Y X, FANG CH, et al..Analytical method for designing gradient-index fiber probes[J].Optical Engineering, 2011,50(9): 094202.

WANG CH, BI SH B, XIA X Q, et al..Further analysis of focusing performance of an ultra-small gradient-index fiber probe[J]. Optical Engineering, 2014, 53(1): 013106.

Views

420

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Study on acoustic landmine detection and its signal processing method

Propagation and self-imaging effect of deformed high-order Bessel beam

Preparation of a self-focusing lens for optical communication

Related Author

王驰

李醒飞

刘志刚

付娟

梁光强

YU Yong-jiang

CHEN Jian-nong

HAO Jin-guang

Related Institution

天津大学

Department of Physics and Electronic Engineering, Ludong University,Yantai 264025,China

Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun, 130022, China

AI问答

Address：No.3888 Dong Nanhu Road, Changchun, Jilin, China Postal code：130033
Tel：0431-86176855 Email：gxjmgc@ciomp.ac.cn
Technical support is provided by Beijing Founder electronics co., LTD 吉ICP备11002662号-17 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰