光学学报, 2012, 32 (2): 0219001, 网络出版: 2011-12-19  

聚焦光场激发下中心对称球形粒子的二次谐波产生

Second Harmonic Generation of Individual Centrosymmetric Spherical Particle Excited by a Focused Beam
作者单位
1 南开大学现代光学研究所光电信息技术科学教育部重点实验室, 天津 300071
2 天津大学电气与自动化工程学院, 天津 300072
摘要
在聚焦光场矢量衍射理论的基础上,利用贝塞尔函数的微分递推关系,推导了聚焦光场的梯度变化表达式。根据中心对称材料二次谐波产生的唯象模型,研究了单个中心对称球形纳米颗粒在聚焦光场激发下的二次谐波产生,考察了表面响应和体效应产生的二次谐波辐射分布随着数值孔径增大的变化规律,并利用聚焦光场及其梯度场分布特性讨论差异产生的原因。研究结果表明,激发光场的聚焦程度对体响应的影响更为显著。
Abstract
Based on vectorial diffraction theory, an analytical integral representation to calculate the field gradient of focused electromagnetic fields is derived by use of the differential recursion formula of the Bessel functions with different order. Within the phenomenological model for second harmonic generation (SHG) of centrosymmetric material, second harmonic (SH) generation of single centrosymmetric spherical particle excited by a focused beam is investigated. With increasing numerical aperture, the SH radiation distributions of the surface and bulk responses are compared and discussed in term of the properties of the intensity and gradient distributions of the focused field. The results indicate that the influence of the variation of the focused field on the bulk response is more remarkable.
参考文献

[1] R. W. Terhune, P. D. Maker, C. M. Savage. Optical harmonic generation in calcite [J]. Phys. Rev. Lett., 1962, 8(10): 404~416

[2] F. Brown, M. Matsuoka. Effect of adsorbed surface layers on second-harmonic light from silver [J]. Phys. Rev., 1969, 185(3): 985~987

[3] Y. R. Shen. Optical second harmonic generation at interfaces [J]. Ann. Rev. Phys. Chem., 1989, 40(1): 327~350

[4] Y. R. Shen. Surface properties probed by second-harmonic and sum-frequency generation [J]. Nature, 1989, 337(6207): 519~525

[5] M. Jacobsohn, U. Banin. Size dependence of second harmonic generation in CdSe nanocrystal quantum dots [J]. J. Phys. Chem. B, 2000, 104(1): 1~5

[6] R. C. Johnson, J. Li, J. T. Hupp et al.. Hyper-Rayleigh scattering studies of silver, copper, and platinum nanoparticle suspensions [J]. Chem. Phys. Lett., 2002, 356(5-6): 534~540

[7] C. C. Neacsu, G. A. Reider, M. B. Raschke. Second-harmonic generation from nanoscopic metal tips: symmetry selection rules for single asymmetric nanostructures [J]. Phys. Rev. B, 2005, 71(20): 201402

[8] C. Hubert, L. Billot, P.-M. Adam et al.. Role of surface plasmon in second harmonic generation from gold nanorods [J]. Appl. Phys. Lett., 2007, 90(18): 181105

[9] 陈亮, 梁昌洪, 党晓杰. 非线性左手材料中的二次谐波产生[J]. 物理学报, 2007, 56(11): 6398~6402

    L. Chen, C. H. Liang, X. J. Dang. Second-harmonic generation in nonlinear left-handed metamaterials [J]. Acta Physica Sinica, 2007, 56(11): 6398~6402

[10] P. C. Ray. Size and shape dependent second order nonlinear optical properties of nanomaterials and their application in biological and chemical sensing [J]. Chem. Rev., 2010, 110(9): 5332~5365

[11] H. Wang, E. C. Y. Yan, E. Borguet et al.. Second harmonic generation from the surface of centrosymmetric particles in bulk solution [J]. Chem. Phys. Lett., 1996, 259(1-2): 15~20

[12] G. Bachelier, I. Russier-Antoine, E. Benichou et al.. Multipolar second-harmonic generation in noble metal nanoparticles [J]. J. Opt. Soc. Am. B, 2008, 25(6): 955~960

[13] J. P. Long, B. S. Simpkins, D. J. Rowenhorst et al.. Far-field Imaging of optical second-harmonic generation in single GaN nanowires [J]. Nano Lett., 2007, 7(3): 831~836

[14] J. I. Dadap, J. Shan, K. B. Eisenthal et al.. Second-harmonic rayleigh scattering from a sphere of centrosymmetric material [J]. Phys. Rev. Lett., 1999, 83(20): 4045~4048

[15] J. I. Dadap, J. Shan, T. F. Heinz. Theory of optical second-harmonic generation from a sphere of centrosymmetric material: small-particle limit [J]. J. Opt. Soc. Am. B, 2004, 21(7): 1328~1347

[16] J. I. Dadap. Optical second-harmonic scattering from cylindrical particles [J]. Phys. Rev. B, 2008, 78(20): 205322

[17] R. Bernal, J. A. Maytorena. Second harmonic generation from centrosymmetric thin films by a focused beam with arbitrary transverse structure [J]. Phys. Rev. B, 2004, 70(12): 125420

[18] X. Huang, W. Qian, I. H. El-Sayed et al.. The potential use of the enhanced nonlinear properties of gold nanospheres in photothermal cancer therapy [J]. Laser Surg. Med., 2007, 39(9): 747~753

[19] Y. Nakayama, P. J. Pauzauskie, A. Radenovic et al.. Tunable nanowire nonlinear optical probe [J]. Nature, 2007, 447(7148): 1098~1101

[20] E. Yew, C. Sheppard. Effects of axial field components on second harmonic generation microscopy [J]. Opt. Express, 2006, 14(3): 1167~1174

[21] W. Xianghui, L. Lie, C. Shengjiang et al.. Examination of validity of paraxial approximation in second harmonic generation microscopy under low numerical aperture [J]. Chin. Phys. Lett., 2008, 25(8): 2884~2887

[22] P. Figliozzi, L. Sun, Y. Jiang et al.. Single-beam and enhanced two-beam second-harmonic generation from silicon nanocrystals by use of spatially inhomogeneous femtosecond pulses [J]. Phys. Rev. Lett., 2005, 94(4): 047401

[23] T. F. Heinz. Nonlinear Surface Electromagnetic Phenomena [M]. Amsterdam:Elsevier Science, 1991. 353~416

[24] B. Richards, E. Wolf. Electromagnetic diffraction in optical systems. II. structure of the image field in an aplanatic system [J]. Proc. R. Soc. London Ser. A, 1959, 253: 358~379

[25] 阎杰, 鲁拥华, 王沛 等. 径向偏振光聚焦光斑研究[J]. 光学学报, 2010, 30(12): 3597~3603

    Yan Jie, Lu Yonghua, Wang Pei et al.. Study of focal spot of radially polarized beam [J]. Acta Optica Sinica, 2010, 30(12): 3597~3603

[26] 陈宝算, 蒲继雄, 张志明 等. 部分相干圆偏振贝塞耳高斯光束经高数值孔径透镜的聚焦[J]. 光学学报, 2009, 29(6): 1664~1670

    Chen Baosuan, Pu Jixiong, Zhang Zhiming et al.. Focusing of partially coherent and circularly polarized Bessel-Gaussian beams through a high numerical aperture objective [J]. Acta Optica Sinica, 2009, 29(6): 1664~1670

[27] H. W. George Arfken. Mathematical Methods for Physicists [M]. New York: Elesvier Academic, 2005

[28] F. X. Wang, F. J. Rodríguez, W. M. Albers et al.. Enhancement of bulk-type multipolar second-harmonic generation arising from surface morphology of metals [J]. New J. Phys., 2010, 12(6): 063009

霍丙忠, 王湘晖, 常胜江, 曾明. 聚焦光场激发下中心对称球形粒子的二次谐波产生[J]. 光学学报, 2012, 32(2): 0219001. Huo Bingzhong, Wang Xianghui, Chang Shengjiang, Zeng Ming. Second Harmonic Generation of Individual Centrosymmetric Spherical Particle Excited by a Focused Beam[J]. Acta Optica Sinica, 2012, 32(2): 0219001.

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