光子学报, 2016, 45 (2): 0226002, 网络出版: 2016-04-01   

无衍射Mathieu光束经轴棱锥的聚焦特性

The Focusing Characteristics of Mathieu Beam Propagating through Axicon
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
摘要
基于MathieuHankel波理论分析了Mathieu光束经轴棱锥后的聚焦特性,并利用菲涅尔衍射积分理论及稳相法, 推导出Mathieu光束经轴棱锥后的准确解析表达式.数值模拟了无衍射Mathieu光束经轴棱锥线性聚焦后的光场在不同传播距离处的截面光强分布及轴上光强分布.理论分析及数值模拟均表明无衍射Mathieu光束经轴棱锥聚焦后会产生周期性Mathieu光束.研究结果对扩展Mathieu光束的应用范围提供了理论依据.
Abstract
Based on the MathieuHankel wave′s theory, the focusing characteristics of Mathieu beam propagating through axicon was analyzed .By Fresnel diffraction theory and the method of stationary phase, the optical fields′ formula of Mathieu beam propagating through the axicon was deduced, the transverse intensity distribution in difference propagation distances was numerical simulated. The theoretical analysis and numerical simulation both show that the Mathieu beam passing through axicon can generate periodic Mathieu beam. This result has provided a theoretical basis in application of Mathieu beam.
参考文献

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

[2] GUTIERREZVega J C, BANDRES M A. Helmholtzgauss waves[J]. Journal of the Optical Society of America A, 2005, 22(2): 289298.

[3] GUTIERREZVega J C, ITURBECastillo M D, CHAVEZCerda S. Alternative formulation for invariant optical fields: Mathieu beams[J]. Optics Letters, 2000, 25(20):14931495.

[4] BANDRES M A,GUTIERREZVega J C. Parabolic nondiffracting optical wave fields[J]. Optics Letters, 2004, 29(1)4446.

[5] 孙川,何西,林炳福,等.光源相干度对Bessel光最大无衍射距离的影响[J].光子学报,2015,44(2):0208001

    SUN Chuan, HE Xi, LIN Bingfu,et al. Effect of the light source coherence on the maximum diffraction free distance of the Bessel beam[J]. Acta Photonica Sinica,2015, 44(2): 0208001.

[6] 何西,吴逢铁,李攀,等.绿光LED产生高阶Bessel光的自再现,中国科学,2015,36(1):014202.

    HE Xi, WU FengTie,LI Pan, et al. Selfreconstruction of highorder Bessel beams generated by green LED light source[J]. Science China, 2015,36(1): 014202.

[7] 王海燕,陈川琳,杜家磊,等. 贝塞尔高斯涡旋光束在大气湍流中的传输特性[J]. 光子学报, 2013,42(05):505510.

    WANG Haiyan, CHEN Chuanlin, DU Jialei, et al. Propagation of besselgaussian beam with optical vortices in turbulent atmosphere[J]. Acta Photonica Sinica, 2013, 42(05): 505510.

[8] VAIYT P, RUSCH L. Perfect vortex beam: Fourier transformation of a Bessel beam[J]. Optics Letters, 2015, 40(4): 597600.

[9] 谢晓霞,王硕琛,吴逢铁.Bessel光束经椭圆环形孔径后的衍射光场[J].物理学报,2015,64(12):124201.

    XIE Xiaoxia ,WANG Shuochen, WU Fengtie. Diffraction optical fields of the Bessel beam through elliptical annular aperture[J]. Acta Phyica Sinica, 2015,64(12): 124201.

[10] 江月松,张新岗,王帅会,等.部分相干贝塞尔高斯光束在非柯尔莫哥诺夫湍流中的传输特性[J]. 光子学报,2014,43(1):712.

    JIANG Yuesong, ZHANG Xingang, WANG Shuaihui, et al. Propagation of partially coherent besselgaussian beams in nonkolmogorov turbulence[J]. Acta Photonica Sinica, 2014, 43(1): 712.

[11] GUTIERREZ Vega J C, ITURBECastillo M D, CHAVEZCerda S, et al. Experimental demonstration of optical Mathieu beams[J]. Optics Communications, 2001, 195(14): 3540.

[12] 文伟. 无衍射马丢光束和马丢—高斯光束的焦移和焦开关[D]. 湖南:中南大学, 2007.

    WEN wei, The focal shift and focal switch of Mahtieu Beam and of MahtieuGaussian Beam[D]. Hunan: Central SouthUniversity,2007.

[13] 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152405.

    LI Dong, WU Fengtie, XIE Xiaoxia. A novel method for generating qausinondiffracting mahtieu beam based on axicon[J]. Acta Phyica Sinica, 2014, 63(15): 1524010115240105.

[14] 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: 0109.

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

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

[17] MCLEOD J H. The axicon: a new type of optical element[J]. Journal of the Optical Society of America, 1954, 44(8):592597.

[18] 杜团结,王涛,吴逢铁.轴棱锥对无衍射光束的线聚焦特性[J].物理学报,2013,62(13): 134103.

    DU TuanJie, WANG Tao, WU Fengtie. Line focusing characteristics of axicon illuminated by nondiffracting Bessel beam[J] Acta Phyica Sinica,2013,62(13): 134103.

[19] HRICHA Z, CHAFIQ A, BELAFHAL A. A detailed study of Mathieu–Gauss beams propagation through an apertured ABCD optical system[J]. Optics Communications, 2006, 265(2): 594602.

[20] BURVALL A. Axicon imaging by scalar diffraction theory[D]. Stockholm: Department of Microelectronics and Information Technology, 2004. 1719.

[21] 羊国光,宋菲君.高等物理光学[M]. 合肥:中国科学技术大学出版社.2008:7476.

谢晓霞, 纪佳位, 王硕琛, 吴逢铁. 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 Jiawei, WANG Shuochen, WU Fengtie. The Focusing Characteristics of Mathieu Beam Propagating through Axicon[J]. ACTA PHOTONICA SINICA, 2016, 45(2): 0226002.

本文已被 3 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!