部分相干光产生无衍射Mathieu光束

冯聪; 王硕琛; 吴逢铁

doi:doi:10.3788/gzxb20184702.0226002

光子学报, 2018, 47 (2): 0226002, 网络出版: 2018-01-30

部分相干光产生无衍射Mathieu光束

Mathieu Beam Generated by Partially Coherent Beam

论文大纲

冯聪 ^*王硕琛吴逢铁

作者单位

华侨大学信息科学与工程学院福建省光传输与变换重点实验室, 福建厦门 361021

部分相干光衍射理论 Mathieu光束傅里叶方法角谱 Partially coherent beam Diffracting theory Mathieu beam Fourier method Angular spectrum

摘要

基于傅里叶变换下的菲涅尔衍射理论, 对部分相干光产生Mathieu光束进行了理论和实验研究, 并利用抽样理论和色散公式推导出Mathieu光束的光强分布表达式.数值模拟了不同传播距离处Mathieu光束的截面光强分布, 并设计了实验对模拟结论进行验证.实验采用多波长蓝光LED为光源, 利用带有椭圆形孔径的菲林片及轴棱锥得到Mathieu光束.模拟和实验结果均证明部分相干光可以产生Mathieu光束.研究结果对拓展Mathieu光束的应用范围提供了理论依据.

Abstract

The Mathieu beam produced by partially coherent light was studied theoretically and experimentally, based on Fresnel diffraction theory and Fourier transform. The intensity expression of the Mathieu beam was derived with sampling theory and dispersion formula. The section intensity distribution of the Mathieu beam at different propagation distances was simulated. And the experiment was designed to verify the simulation results. We would choose multiwavelength blue LED as the light source in the the experiment. The Mathieu beam would be obtained using a axicon and a film with an elliptical aperture. Both simulated and experimental results show that partially coherent light can produce Mathieu beams. The results provide a theory evidence for extending the application range of Mathieu beam.

参考文献

[1] DUMIN J. Exact solutions for nondiffracting beams. I. scalar theory［J］. Journal of the Optical Society of America A, 1987, 4 (4): 651654.

[2] FAHRBACH F O, ROHRBACH A. Propagation stability of selfreconstructing Bessel beams enables contrastenhanced imaging in thick media［J］. Nature Communications, 2012, 3(6): 632639.

[3] GUTIERREZVEGA J C, ITURBECASTILLO M D, CHAVEZCERDA S. Alternative formulation for invariant optical fields: Mathieu beams［J］. Optics Letters, 2000, 25(20): 14931495.

[4] 李冬, 吴逢铁, 谢晓霞. 基于轴棱锥产生近似无衍射Mathieu光束的新方法［J］. 物理学报, 2014, 63(15): 152401152401.

LI Dong, WU Fengtie, XIE Xiaoxia. A novel method of generating qausinondiffracting Mahtieu beam based on axicon［J］. Acta Physica Sinica,2014, 63(15): 152401152401.

[5] BELAFHAL A, CHAFIQ A, HRICHA Z. Scattering of Mathieu beams by a rigid sphere［J］. Optics Communications, 2011, 284(12): 30303035.

[6] 谢晓霞, 纪佳位, 王硕琛,等. 无衍射Mathieu光束经轴棱锥的聚焦特性［J］. 光子学报, 2016, 45(2): 0226002.

XIE Xiaoxia, JI Weijia, WANG Shuochen,et al. The focusing characteristics of Mathieu beam propagating through axicon［J］. Acta Photonica Sinica, 2016, 45(2): 0226002.

[7] FLEISCHER J W, SEGEV M, EFREMIDIS N K, et al. Observation of twodimensional discrete solitons in opticallyinduced nonlinear photonic lattices［J］. Nature,2003. 422(6928): 147150.

[8] CHAFIQ A, NEBDI H, BELAFHAL A. Beam shape coefficients and scattering of zeroth order mathieu beam by homogeneous sphere［J］. Physical & Chemical News, 2014, 74(7): 0109.

[9] ALPMANN C, BOWMAN R, WOERDEMANN M, et al. Mathieu beams as versatile light moulds for 3D micro particle assemblies.［J］. Optics Express, 2010, 18(25): 2608426091.

[10] LI Yajun. MathieuGaussian beam for optical scanners: US, US6719204［P］. 2004.

[11] 柯熙政, 薛瑶. 部分相干光在大气湍流中的到达角起伏［J］. 光子学报, 2016, 45(12): 1206005.

KE Xizheng, XUE Yao. Arrival angle fluctuations of partially coherent beams in the atmospheric turbulence［J］. Acta Photonica Sinica, 2016, 45(12): 1206005.

[12] 何西, 吴逢铁, 李攀, 等. 非相干LED光源产生高阶Bessel光束［J］.中国科学, 2014, 35(7): 705711.

HE Xi, WU Fengtie, LI Pan,et al. High order Bessel beams generated by using incoherent LED light source ［J］. Science China, 2014, 35(7): 705711.

[13] WU Gaofeng, CAI Yangjian. Modulation of spectral intensity, polarization and coherence of a stochastic electromagnetic beam［J］. Optics Express, 2011, 19(9): 87008714.

[14] LIU Xianglong, WANG Fei, ZHANG Minghui, et al. Experimental demonstration of ghost imaging with an electromagnetic Gaussian Schellmodel beam［J］. Journal of the Optical Society of America A Optics Image Science & Vision, 2015, 32(5): 910920.

[15] 刘显龙. 部分相干光束的传输及成像研究［D］. 苏州大学, 2013.

[16] CHENG Zhiming, WU Fengtie, FAN Dandan, et al. A precise method for analyzing Bessel like beams generated by broadband waves［J］. Optics & Laser Technology, 2013, 52 (52): 8790.

[17] MALLTSON I H. Interspecies comparison of the refractive index of fused silica［J］.Journal of the Optical Society of America, 1965, 55(10): 12051208.

冯聪, 王硕琛, 吴逢铁. 部分相干光产生无衍射Mathieu光束[J]. 光子学报, 2018, 47(2): 0226002. FENG Cong, WANG Shuochen, WU Fengtie. Mathieu Beam Generated by Partially Coherent Beam[J]. ACTA PHOTONICA SINICA, 2018, 47(2): 0226002.

部分相干光产生无衍射Mathieu光束

关于本站 Cookie 的使用提示

全站搜索

部分相干光产生无衍射Mathieu光束

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索