Generation of multifocal spherical spots with Bessel-Gaussian radially polarized beam modulated with diffractive optical element

Abstract

Abstract: By using the Richards-Wolf vector diffraction theory, we investigate the focusing properties of Bessel-Gaussian radially polarized laser beams modulated with a diffractive optical element（DOE）in a 4pi focusing system which consists of two same high numerical aperture lens. Due to the adjacent ring interference of DOE, the intensity distribution near the focus is different from the intensity distribution without DOE modulation. The multifocal spherical spots can be obtained. The number of spherical spots is associated with the number of belts of DOE and relative size of adjacent ring. The spherical focal spots can move along the optical axis if the relative phase of left and right of the incident beam is changed. The result show important applications in optical microscopy, optical data storage, and particle manipulations.

Key words: laser physics, spherical focal spot, tightly focusing, diffractive optical element

CLC Number:

O441.4

References

1. Dorn R, Quabis S, Leuchs G. Sharper Focus for a Radially Polarized Light Beam [J]. Phys. Rev. Lett. , 2003, 91(23):233901
2. Youngworth K S, Brown T G. Focusing of high numerical aperture cylindrical-vector beams [J]. Opt. Exp., 2000,7(2): 77-87
3. Salamin Y I. Electron acceleration from rest in vacuum by an axicon Gaussian laser beam [J]. Phys. Rev. A ,2006, 73(4): 043402
4. Fortin P L, Piché M and Varin C. Direct-field electron acceleration with ultrafast radially polarized laser beams: scaling laws and optimization [J]. J. Phys. At. Mol. Opt. Phys. ,2010, 43(2): 025401
5. Hayazawa N, Saito Y and Kawata S. Detection and characterization of longitudinal field for tip-enhanced Raman spectroscopy [J]. Appl. Phys. Lett. ,2004, 85(25): 6239-6241
6. Terakado G，Watanabe K and Kano H. Scanning confocal total internal reflection fluorescence microscopy by using radial polarization in the illumination system[J]. Appl. Opt. ,2009, 48(6): 1114-1118
7. Zhan Q. Trapping metallic Rayleigh particles with radial polarization[J]. Opt. Exp. ,2004, 12(15): 3377-3382
8. Michihata M , Hayashi T and Takaya Y. Measurement of axial and transverse trapping stiffness of optical tweezers in air using a radially polarized beam [J]. Appl. Opt., 2009, 48(32): 6143-6151
9. Yan S H and Yao B L. Radiation forces of a highly focused radially polarized beam on spherical particles [J]. Phys. Rev. A ,2007, 76(5): 053836
10. Kawauchi H, Yonezawa K and Kozawa Y et al.. Calculation of optical trapping forces on a dielectric sphere in the ray optics regime produced by a radially polarized laser beam[J]. Opt. Lett., 2007, 32(13): 1839-1841
11. Hell S and Stelzer E H K. Properties of a 4Pi confocal fluorescence microscope [J]. J.Opt. Soc. Am. A, 1992, 9(12): 2159-2166
12. Bokor N and Davidson N. Toward a spherical spot distribution with 4pi focusing of radially polarized light [J]. Opt. Lett., 2004, 29(17): 1968-1970
13. Chen W and Zhan Q. Creating a spherical focal spot with spatially modulated radial polarization in 4Pi microscopy [J]. Opt. Lett., 2009, 34(16):2444-2446
14. Yan S H, Yao B L and Zhao W et al.. Generation of multiple spherical spots with a radially polarized beam in a 4pi focusing system[J]. J.Opt. Soc. Am. A, 2010, 27(9): 2033-2037
15. Li Z, Yan S H and Yao B L et al.. Theoretical prediction of three-dimensional shifting of a spherical focal spot in a 4Pi focusing system [J]. J. opt. A: Pure appl. Opt., 2012,14(5): 055706
16. Yan S H, Yao B L, and Rupp R. Shifting the spherical focus of a 4Pi focusing system [J]. Opt. Exp., 2011, 19(2):673-678
17. Wolf E. Electromagnetic diffraction in optical systems I. An integral representation of the image field [J]. Proc. Roy. Soc. A, 1959, 253：349-357
18. Richards B, Wolf E. Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanatic system [J]. Proc. Roy. Soc. A, 1959, 253：358-379
19. Zhao Y, Zhan Q and Zhang Y et al.. Creation of a three-dimensional optical chain for controllable particle delivery [J]. Opt. Lett. , 2005, 30(8): 848-850

[1]	WU Anhua, , ZHAO Xiangyang , , SHANG Jiamin, , SHEN Hui , SU Liangbi , . Terahertz optical modulation research of rare-earth ferrite crystals [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 293-300.
[2]	HONG Huihui, Cho-Tung Yip. Double resonance up-conversion fluorescence enhancement of tungsten disulfide films [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 605-612.
[3]	FENG Liqiang. Effect of resonance ionization on harmonic intensity of atom and molecule systems [J]. Chinese Journal of Quantum Electronics, 2021, 38(4): 529-538.
[4]	ZHANG Yiwen, LIU Hang, †, FENG Liqiang. The effect of chirp-delay regulation on diatomic molecular harmonic generation [J]. Chinese Journal of Quantum Electronics, 2020, 37(3): 314-320.
[5]	LIU Hang, FENG Liqiang. Chirp waveform control for producing water window spectral continuum and attosecond pulse [J]. Chinese Journal of Quantum Electronics, 2020, 37(2): 150-156.
[6]	LI Yi, FENG Liqiang. Improvement of harmonic cutoff and intensity by using chirped-UV combined field [J]. Chinese Journal of Quantum Electronics, 2019, 36(6): 738-744.
[7]	FENG Liqiang. Characteristics of high-order harmonic emission from He+ in bowtie-shaped metal nanostructure [J]. J4, 2018, 35(4): 479-485.
[8]	LI Ningxin, QIN Chaochao, YU Kexin. Division-of-amplitude laser polarization dynamic detection based on Labview [J]. J4, 2018, 35(4): 408-413.
[9]	. Morphology characteristics of several metallic structural materials under laser shock [J]. J4, 2016, 33(4): 491-498.
[10]	. Exact solutions for the (2+1)-Dimensional ZK-MEW equation by using modified simple equation method [J]. J4, 2016, 33(3): 287-291.
[11]	Yu Li, Cheng Linghao, Chen Zhenqiang, Liang Yizhi，Jin Long, Guan Bai-Ou . Longitudinal Spatial Response to Magnetic Field for a Faraday-rotation based Dual-Polarization Fiber Laser sensor [J]. J4, 2015, 32(4): 486-491.
[12]	SUN Li, HAN Qi, ZHAO Chong-yi, HUANG Zhao-cong, ZHAI Ya， XU Yong-bing. Local magnetism in permalloy patterns by focused magneto-optic Kerr effect [J]. J4, 2015, 32(4): 492-497.
[13]	YANG Yiting, QIAO Haoxue. Single short pulse generated by hydrogen atom exposed to the combined field of two laser pulses with similar frequency [J]. J4, 2013, 30(4): 405-410.
[14]	He Zhihong，Chen Changshui，Liu Songhao，Zhang Huiyun，Zhang Yuping，Luo Xizhang. Analysis of pump threshold for producing terahertz laser radiation in continuous laser pumping heavy water gas molecules [J]. J4, 2013, 30(4): 411-417.
[15]	DU Chuan-mei, ZHANG Ming-xu, PANG Jian-yong. Spatial-resolved property of Stark broadening and electron density of emission spectra in laser-induced Ni plasmas [J]. J4, 2013, 30(3): 268-274.