Constructing ultra-long focal fields via tightly focused Bessel beams

Zhaojin Guo; Mingshuai Huang; Sheng Liu; Peng Li; Bingyan Wei; Jianlin Zhao

doi:10.3788/COL202321.072601

[1] J. Durnin. Exact solutions for nondiffracting beams. I. The scalar theory. J. Opt. Soc. Am. A, 4, 651(1987).

[2] J. Durnin, J. J. Miceli, J. H. Eberly. Diffraction-free beams. Phys. Rev. Lett., 58, 1499(1987).

[3] A. Chong, W. H. Renninger, D. N. Christodoulides, F. W. Wise. Airy–Bessel wave packets as versatile linear light bullets. Nat. Photonics, 4, 103(2010).

[4] F. O. Fahrbach, A. Rohrbach. Propagation stability of self-reconstructing Bessel beams enables contrast-enhanced imaging in thick media. Nat. Commun., 3, 632(2012).

[5] D. B. Ruffner, D. G. Grier. Optical conveyors: a class of active tractor beams. Phys. Rev. Lett., 109, 163903(2012).

[6] S. Liu, S. Qi, P. Li, B. Wei, P. Chen, W. Hu, Y. Zhang, X. Gan, P. Zhang, Y. Lu, Z. Chen, J. Zhao. Analogous optical activity in free space using a single Pancharatnam–Berry phase element. Laser Photonics Rev., 16, 2100291(2022).

[7] P. Li, Y. Zhang, S. Liu, L. Han, H. Cheng, F. Yu, J. Zhao. Quasi-Bessel beams with longitudinally varying polarization state generated by employing spectrum engineering. Opt. Lett., 41, 4811(2016).

[8] T. A. Vieira, M. R. R. Gesualdi, M. Zamboni-Rached. Frozen waves: experimental generation. Opt. Lett., 37, 2034(2012).

[9] A. H. Dorrah, M. Zamboni-Rached, M. Mojahedi. Generating attenuation-resistant frozen waves in absorbing fluid. Opt. Lett., 41, 3702(2016).

[10] R. A. B. Suarez, L. A. Ambrosio, A. A. R. Neves, M. Zamboni-Rached, M. R. R. Gesualdi. Experimental optical trapping with frozen waves. Opt. Lett., 45, 2514(2020).

[11] V. Jarutis, A. Matijošius, P. Di Trapani, A. Piskarskas. Spiraling zero-order Bessel beam. Opt. Lett., 34, 2129(2009).

[12] J. E. Morris, T. Čižmár, H. I. C. Dalgarno, R. F. Marchington, F. J. Gunn-Moore, K. Dholakia. Realization of curved Bessel beams: propagation around obstructions. J. Opt., 12, 124002(2010).

[13] J. Zhao, P. Zhang, D. Deng, J. Liu, Y. Gao, I. D. Chremmos, N. K. Efremidis, D. N. Christodoulides, Z. Chen. Observation of self-accelerating Bessel-like optical beams along arbitrary trajectories. Opt. Lett., 38, 498(2013).

[14] J. Zhao, P. Zhang, D. Deng, C. Lou, D. Song, J. Liu, Z. Chen. Self-accelerating and self-breathing Bessel-like beams along arbitrary trajectories. Chin. Opt. Lett., 11, 110701(2013).

[15] P. Zhang, Y. Hu, D. Cannan, A. Salandrino, T. Li, R. Morandotti, X. Zhang, Z. Chen. Generation of linear and nonlinear nonparaxial accelerating beams. Opt. Lett., 37, 2820(2012).

[16] I. Kaminer, R. Bekenstein, J. Nemirovsky, M. Segev. Nondiffracting accelerating wave packets of Maxwell’s equations. Phys. Rev. Lett., 108, 163901(2012).

[17] S. Liu, Z. Guo, P. Li, B. Wei, J. Zhao. Tightly autofocusing beams: an effective enhancement of longitudinally polarized fields. Opt. Lett., 45, 575(2020).

[18] Q. Zhan. Cylindrical vector beams: from mathematical concepts to applications. Adv. Opt. Photonics, 1, 1(2009).

[19] L. Han, S. Qi, S. Liu, H. Cheng, P. Li, J. Zhao. Tightly focused light field with controllable pure transverse polarization state at the focus. Opt. Lett., 45, 6034(2020).

[20] W. Zhang, S. Liu, P. Li, X. Jiao, J. Zhao. Controlling the polarization singularities of the focused azimuthally polarized beams. Opt. Express, 21, 974(2013).

[21] M.-S. Wang, X.-Z. Gao, J.-H. Zhao, X.-F. Sun, Y. Pan, Y. Xia. Flexibly modulated Poincaré sphere vector optical field in input and focal planes. Opt. Express, 29, 21071(2021).

[22] C. Zhang, C. Min, Y. Zhang, Y. Fu, L. Li, Y. Wang, X. Yuan. Detection of cylindrical vector beams with chiral plasmonic lens. Chin. Opt. Lett., 20, 023602(2022).

[23] Z.-X. Li, Y.-P. Ruan, P. Chen, J. Tang, W. Hu, K.-Y. Xia, Y.-Q. Lu. Liquid crystal devices for vector vortex beams manipulation and quantum information applications [Invited]. Chin. Opt. Lett., 19, 112601(2021).

[24] V. Parigi, V. D'Ambrosio, C. Arnold, L. Marrucci, F. Sciarrino, J. Laurat. Storage and retrieval of vector beams of light in a multiple-degree-of-freedom quantum memory. Nat. Commun., 6, 7706(2015).

[25] H. Cheng, P. Li, S. Liu, P. Chen, L. Han, Y. Zhang, W. Hu, J. Zhao. Vortex-controlled morphology conversion of microstructures on silicon induced by femtosecond vector vortex beams. Appl. Phys. Lett., 111, 141901(2017).

[26] Z. J. Hua, J. Liu, C. G. Liu. High-resolution dark-field confocal microscopy based on radially polarized illumination. Opt. Express, 30, 11066(2022).

[27] A. Bouhelier, M. Beversluis, A. Hartschuh, L. Novotny. Near-field second-harmonic generation induced by local field enhancement. Phys. Rev. Lett., 90, 013903(2003).

[28] H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, C. T. Chong. Creation of a needle of longitudinally polarized light in vacuum using binary optics. Nat. Photonics, 2, 501(2008).

[29] Z. Zhang, H. Fan, H.-F. Xu, J. Qu, W. Huang. Three-dimensional focus shaping of partially coherent circularly polarized vortex beams using a binary optic. J. Opt., 17, 065611(2015).

[30] W. Chen, Q. Zhan. Three-dimensional focus shaping with cylindrical vector beams. Opt. Commun., 265, 411(2006).

[31] B. Tian, J. Pu. Tight focusing of a double-ring-shaped, azimuthally polarized beam. Opt. Lett., 36, 2014(2011).

[32] Z. Gan, Y. Cao, R. A. Evans, M. Gu. Three-dimensional deep sub-diffraction optical beam lithography with 9 nm feature size. Nat. Commun., 4, 2061(2013).

[33] M. Gu, X. Li, Y. Cao. Optical storage arrays: a perspective for future big data storage. Light Sci. Appl., 3, e177(2014).

[34] K. S. Youngworth, T. G. Brown. Focusing of high numerical aperture cylindrical-vector beams. Opt. Express, 7, 77(2000).

[35] P. Gotovski, P. Šlevas, S. Orlov, O. Ulčinas, A. Urbas. Generation of an optical needle beam with a laser inscribed Pancharatnam–Berry phase element under imperfect conditions. Opt. Express, 29, 33331(2021).

[36] J. Chen, Q. Xu. Superlong uniform light tunnel created by focusing radially polarized vortex beam. J. Appl. Phys., 124, 043103(2018).

[37] Y. Zhu, H. Wang, Y. Zhang, D. Liu, W. Zhong, Z. Gao, G. Cui, Y. Lu, Y. Zhang, M. Xiao. Generation of an ultra-long sub-diffracted second-harmonic optical needle from a periodically poled LiNbO3 crystal. Appl. Phys. Lett., 116, 081106(2020).

[38] Y. Zheng, M. Xu, M. Pu, F. Zhang, D. Sang, Y. Guo, X. Li, X. Ma, X. Luo. Designing high-efficiency extended depth-of-focus metalens via topology-shape optimization. Nanophotonics, 11, 2967(2022).

[39] K. Huang, P. Shi, X. Kang, X. Zhang, Y. Li. Design of DOE for generating a needle of a strong longitudinally polarized field. Opt. Lett., 35, 965(2010).

[40] Z. Man, C. Min, L. Du, Y. Zhang, S. Zhu, X. Yuan. Sub-wavelength sized transversely polarized optical needle with exceptionally suppressed side-lobes. Opt. Express, 24, 874(2016).

[41] D. Panneton, G. St-Onge, M. Piché, S. Thibault. Needles of light produced with a spherical mirror. Opt. Lett., 40, 419(2015).

[42] T. Liu, J. B. Tan, J. Liu, H. Wang. Modulation of a super-Gaussian optical needle with high-NA Fresnel zone plate. Opt. Lett., 38, 2742(2013).

[43] W. Xin, Q. M. Zhang, M. Gu. Inverse design of optical needles with central zero-intensity points by artificial neural networks. Opt. Express, 28, 38718(2020).

[44] X.-Z. Gao, P.-C. Zhao, J.-H. Zhao, X.-F. Sun, J.-J. Liu, F. Yang, Y. Pan. Sinusoidal-amplitude binary phase mask and its application in achieving an ultra-long optical needle. Opt. Express, 30, 26275(2022).

[45] J. Lin, K. Yin, Y. Li, J. Tan. Achievement of longitudinally polarized focusing with long focal depth by amplitude modulation. Opt. Lett., 36, 1185(2011).

[46] Z. Nie, G. Shi, X. Zhang, Y. Wang, Y. Song. Generation of super-resolution longitudinally polarized beam with ultra-long depth of focus using radially polarized hollow Gaussian beam. Opt. Commun., 331, 87(2014).

[47] F. Wang, C. Zhao, Y. Dong, Y. Dong, Y. Cai. Generation and tight-focusing properties of cylindrical vector circular Airy beams. Appl. Phys. B, 117, 905(2014).

[48] K. Kitamura, K. Sakai, S. Noda. Sub-wavelength focal spot with long depth of focus generated by radially polarized, narrow-width annular beam. Opt. Express, 18, 4518(2010).

[49] K. Lalithambigai, P. Suresh, V. Ravi, K. Prabakaran, Z. Jaroszewicz, K. B. Rajesh, P. M. Anbarasan, T. V. S. Pillai. Generation of sub wavelength super-long dark channel using high NA lens axicon. Opt. Lett., 37, 999(2012).

[50] Y. I. Shin, K. Kim, J. A. Kim, H. R. Noh, W. Jhe, K. Oh, U. C. Paek. Diffraction-limited dark laser spot produced by a hollow optical fiber. Opt. Lett., 26, 119(2001).

Data from CrossRef