[1] Pan Y, Ding J P, Wang H T. Manipulation on novel vector optical fields: introduction, advances and applications[J]. Acta Optica Sinica, 39, 0126001(2019).

[2] Zhou Y, Li R Z, Yu X H et al. Progress in study and application of optical field modulation technology based on liquid crystal spatial light modulators[J]. Acta Photonica Sinica, 50, 1123001(2021).

[3] Zhang X C, Lü J G, Zhang C et al. Multiple bottle beams based on metasurface light field control[J]. Chinese Journal of Lasers, 48, 2105001(2021).

[4] Bekshaev A Y, Soskin M S, Vasnetsov M V. Angular momentum of a rotating light beam[J]. Optics Communications, 249, 367-378(2005).

[5] Schechner Y Y, Piestun R, Shamir J. Wave propagation with rotating intensity distributions[J]. Physical Review E, 54, R50-R53(1996).

[6] Piestun R, Schechner Y Y, Shamir J. Self-imaging with finite energy[J]. Optics Letters, 22, 200-202(1997).

[7] Piestun R, Shamir J. Generalized propagation-invariant wave fields[J]. Journal of the Optical Society of America A, 15, 3039-3044(1998).

[8] Piestun R, Schechner Y Y, Shamir J. Propagation-invariant wave fields with finite energy[J]. Journal of the Optical Society of America. A, Optics, Image Science, and Vision, 17, 294-303(2000).

[9] Greengard A, Schechner Y Y, Piestun R. Depth from diffracted rotation[J]. Optics Letters, 31, 181-183(2006).

[10] Pavani S R P, Piestun R. High-efficiency rotating point spread functions[J]. Optics Express, 16, 3484-3489(2008).

[11] Quirin S, Piestun R. Depth estimation and image recovery using broadband, incoherent illumination with engineered point spread functions[J]. Applied Optics, 52, A367-A376(2012).

[12] Grover G, Pavani S R P, Piestun R. Performance limits on three-dimensional particle localization in photon-limited microscopy[J]. Optics Letters, 35, 3306-3308(2010).

[13] Pavani S R P, DeLuca J G, Piestun R. Polarization sensitive, three-dimensional, single-molecule imaging of cells with a double-helix system[J]. Optics Express, 17, 19644-19655(2009).

[14] Pavani S R P, Piestun R. Three dimensional tracking of fluorescent microparticles using a photon-limited double-helix response system[J]. Optics Express, 16, 22048-22057(2008).

[15] Pavani S R P, Greengard A, Piestun R. Three-dimensional localization with nanometer accuracy using a detector-limited double-helix point spread function system[J]. Applied Physics Letters, 95, 021103(2009).

[16] Pavani S R P, Thompson M A, Biteen J S et al. Three-dimensional, single-molecule fluorescence imaging beyond the diffraction limit by using a double-helix point spread function[J]. Proceedings of the National Academy of Sciences of the United States of America, 106, 2995-2999(2009).

[17] Pavani S R P, Piestun R. 3D microscopy with a double-helix point spread function[J]. Proceedings of SPIE, 7184, 71840I(2009).

[18] Jin C Q, Zhang J H, Guo C L. Metasurface integrated with double-helix point spread function and metalens for three-dimensional imaging[J]. Nanophotonics, 8, 451-458(2019).

[19] Grover G, DeLuca K, Quirin S et al. Super-resolution photon-efficient imaging by nanometric double-helix point spread function localization of emitters (SPINDLE)[J]. Optics Express, 20, 26681-26695(2012).

[20] Smith C S, Joseph N, Rieger B et al. Fast, single-molecule localization that achieves theoretically minimum uncertainty[J]. Nature Methods, 7, 373-375(2010).

[21] Baránek M, Bouchal Z. Optimizing the rotating point spread function by SLM aided spiral phase modulation[J]. Proceedings of SPIE, 9441, 161-170(2014).

[22] Li H F, Yun X, Zhang Y H et al. Optimization of Fresnel-zones-based double helix point spread function and measurement of particle diffusion coefficient[J]. Optics Communications, 502, 127411(2022).

[23] Jin C Q, Afsharnia M, Berlich R et al. Dielectric metasurfaces for distance measurements and three-dimensional imaging[J]. Advanced Photonics, 1, 036001(2019).

[24] Colburn S, Majumdar A. Metasurface generation of paired accelerating and rotating optical beams for passive ranging and scene reconstruction[J]. ACS Photonics, 7, 1529-1536(2020).

[25] Berlich R, Bräuer A, Stallinga S. Single shot three-dimensional imaging using an engineered point spread function[J]. Optics Express, 24, 5946-5960(2016).

[26] Wang Z J, Cai Y N, Liang Y S et al. Single shot, three-dimensional fluorescence microscopy with a spatially rotating point spread function[J]. Biomedical Optics Express, 8, 5493-5506(2017).

[27] Dupont A, Lamb D C. Nanoscale three-dimensional single particle tracking[J]. Nanoscale, 3, 4532-4541(2011).

[28] Thompson M A, Lew M D, Badieirostami M et al. Localizing and tracking single nanoscale emitters in three dimensions with high spatiotemporal resolution using a double-helix point spread function[J]. Nano Letters, 10, 211-218(2010).

[29] Thompson M A, Casolari J M, Badieirostami M et al. Three-dimensional tracking of single mRNA particles in saccharomyces cerevisiae using a double-helix point spread function[J]. Proceedings of the National Academy of Sciences of the United States of America, 107, 17864-17871(2010).

[30] Wang D P, Agrawal A, Piestun R et al. Enhanced information content for three-dimensional localization and tracking using the double-helix point spread function with variable-angle illumination epifluorescence microscopy[J]. Applied Physics Letters, 110, 211107(2017).

[31] Gahlmann A, Moerner W E. Exploring bacterial cell biology with single-molecule tracking and super-resolution imaging[J]. Nature Reviews Microbiology, 12, 9-22(2014).

[32] Lew M D, Thompson M A, Badieirostami M et al. In vivo three-dimensional superresolution fluorescence tracking using a double-helix point spread function[J]. Proceedings of SPIE, 7571, 75710Z(2010).

[33] Wang D P, Wu H C, Schwartz D K. Three-dimensional tracking of interfacial hopping diffusion[J]. Physical Review Letters, 119, 268001(2017).

[34] Wu H C, Sarfati R, Wang D P et al. Electrostatic barriers to nanoparticle accessibility of a porous matrix[J]. Journal of the American Chemical Society, 142, 4696-4704(2020).

[35] Lasker K, von Diezmann L, Zhou X et al. Selective sequestration of signalling proteins in a membraneless organelle reinforces the spatial regulation of asymmetry in Caulobacter crescentus[J]. Nature Microbiology, 5, 418-429(2020).

[36] Rocha J M, Gahlmann A. Single-molecule tracking microscopy-a tool for determining the diffusive states of cytosolic molecules[J]. Journal of Visualized Experiments, 151, e59387(2019).

[37] Li H, Chen D N, Xu G X et al. Three dimensional multi-molecule tracking in thick samples with extended depth-of-field[J]. Optics Express, 23, 787-794(2015).

[38] Chen D N, Yu B, Li H et al. Approach to multiparticle parallel tracking in thick samples with three-dimensional nanoresolution[J]. Optics Letters, 38, 3712-3715(2013).

[39] Li H F, Wang F M, Wei T D et al. Particles 3D tracking with large axial depth by using the 2π-DH-PSF[J]. Optics Letters, 46, 5088-5091(2021).

[40] Wang F M, Li H F, Ji L et al. Three-dimensional diffusion coefficient measurement by a large depth-of-field rotating point spread function[J]. Applied Optics, 60, 10766-10771(2021).

[41] Yu B, Yu J, Li W H et al. Nanoscale three-dimensional single particle tracking by light-sheet-based double-helix point spread function microscopy[J]. Applied Optics, 55, 449-453(2016).

[42] Gustavsson A K, Petrov P N, Lee M Y et al. 3D single-molecule super-resolution microscopy with a tilted light sheet[J]. Nature Communications, 9, 123(2018).

[43] Wu Y C, FasterShroff H. Faster,shaper,and deeper: structured illumination microscopy for biological imaging[J]. Nature Methods, 15, 1011-1019(2018).

[44] Sahl S J, Hell S W, Jakobs S. Fluorescence nanoscopy in cell biology[J]. Nature Reviews Molecular Cell Biology, 18, 685-701(2017).

[45] Zanacchi F C, Lavagnino Z, Donnorso M P et al. Live-cell 3D super-resolution imaging in thick biological samples[J]. Nature Methods, 8, 1047-1049(2011).

[46] Schermelleh L, Ferrand A, Huser T et al. Super-resolution microscopy demystified[J]. Nature Cell Biology, 21, 72-84(2019).

[47] Hao X, Yang Q, Kuang C F et al. Optical super-resolution imaging based on frequency shift[J]. Acta Optica Sinica, 41, 0111001(2021).

[48] Huang B, Wang W Q, Bates M et al. Three-dimensional super-resolution imaging by stochastic optical reconstruction microscopy[J]. Science, 319, 810-813(2008).

[49] Toprak E, Balci H, Blehm B H et al. Three-dimensional particle tracking via bifocal imaging[J]. Nano Letters, 7, 2043-2045(2007).

[50] Lee H L D, Sahl S J, Lew M D et al. The double-helix microscope super-resolves extended biological structures by localizing single blinking molecules in three dimensions with nanoscale precision[J]. Applied Physics Letters, 100, 153701(2012).

[51] Yoon J, Comerci C J, Weiss L E et al. Revealing nanoscale morphology of the primary cilium using super-resolution fluorescence microscopy[J]. Biophysical Journal, 116, 319-329(2019).

[52] Bennett H W, Gustavsson A K, Bayas C A et al. Novel fibrillar structure in the inversin compartment of primary cilia revealed by 3D single-molecule superresolution microscopy[J]. Molecular Biology of the Cell, 31, 619-639(2020).

[53] Alvarez L H, Eisold S, Gumerov R A et al. Deformation of microgels at solid-liquid interfaces visualized in three-dimension[J]. Nano Letters, 19, 8862-8867(2019).

[54] Nehme E, Freedman D, Gordon R et al. DeepSTORM3D: dense 3D localization microscopy and PSF design by deep learning[J]. Nature Methods, 17, 734-740(2020).

[55] Grover G, Quirin S, Fiedler C et al. Photon efficient double-helix PSF microscopy with application to 3D photo-activation localization imaging[J]. Biomedical Optics Express, 2, 3010-3020(2011).

[56] Rehman S A, Carr A R, Lenz M O et al. Maximizing the field of view and accuracy in 3D single molecule localization microscopy[J]. Optics Express, 26, 4631-4637(2018).

[57] Barsic A, Grover G, Piestun R. Three-dimensional super-resolution and localization of dense clusters of single molecules[J]. Scientific Reports, 4, 5388(2014).

[58] Carr A R, Ponjavic A, Basu S et al. Three-dimensional super-resolution in eukaryotic cells using the double-helix point spread function[J]. Biophysical Journal, 112, 1444-1454(2017).

[59] Backlund M P, Lew M D, Backer A S et al. The role of molecular dipole orientation in single-molecule fluorescence microscopy and implications for super-resolution imaging[J]. ChemPhysChem, 15, 587-599(2014).

[60] Sage D, Kirshner H, Pengo T et al. Quantitative evaluation of software packages for single-molecule localization microscopy[J]. Nature Methods, 12, 717-724(2015).

[61] Shechtman Y, Weiss L E, Backer A S et al. Precise three-dimensional scan-free multiple-particle tracking over large axial ranges with tetrapod point spread functions[J]. Nano Letters, 15, 4194-4199(2015).

[62] Lu Q S, Jin L H, Xu Y K. Progress on applications of deep learning in super-resolution microscopy imaging[J]. Laser & Optoelectronics Progress, 58, 2400007(2021).

[63] Ikoma H, Peng Y F, Broxton M et al. Snapshot multi-PSF 3D single-molecule localization microscopy using deep learning[C], CW3B.3(2020).

[64] Hell S W, Wichmann J. Breaking the diffraction resolution limit by stimulated emission: stimulated-emission-depletion fluorescence microscopy[J]. Optics Letters, 19, 780-782(1994).

[65] Schmidt R, Wurm C A, Jakobs S et al. Spherical nanosized focal spot unravels the interior of cells[J]. Nature Methods, 5, 539-544(2008).

[66] Westphal V, Rizzoli S O, Lauterbach M A et al. Video-rate far-field optical nanoscopy dissects synaptic vesicle movement[J]. Science, 320, 246-249(2008).

[67] Bingen P, Reuss M, Engelhardt J et al. Parallelized STED fluorescence nanoscopy[J]. Optics Express, 19, 23716-23726(2011).

[68] Laporte G P J, Conkey D B, Vasdekis A et al. Double-helix enhanced axial localization in STED nanoscopy[J]. Optics Express, 21, 30984-30992(2013).

[69] York A G, Parekh S H, Nogare D D et al. Resolution doubling in live, multicellular organisms via multifocal structured illumination microscopy[J]. Nature Methods, 9, 749-754(2012).

[70] Li S W, Wu J J, Li H et al. Rapid 3D image scanning microscopy with multi-spot excitation and double-helix point spread function detection[J]. Optics Express, 26, 23585-23593(2018).

[71] Wang Z J, Cai Y N, Qian J et al. Hybrid multifocal structured illumination microscopy with enhanced lateral resolution and axial localization capability[J]. Biomedical Optics Express, 11, 3058-3070(2020).

[72] Jesacher A, Ritsch-Marte M, Piestun R. Three-dimensional information from two-dimensional scans: a scanning microscope with postacquisition refocusing capability[J]. Optica, 2, 210-213(2015).

[73] Li S W, Lin D Y, Zou X H et al. Mutifocal image scanning microscopy based on double-helix point spread function engineering[J]. Acta Physica Sinica, 70, 038701(2021).

[74] Xue Y, Berry K P, Boivin J R et al. Scanless volumetric imaging by selective access multifocal multiphoton microscopy[J]. Optica, 6, 76-83(2019).

[75] Ji N. Adaptive optical fluorescence microscopy[J]. Nature Methods, 14, 374-380(2017).

[76] Fazal F M, Block S M. Optical tweezers study life under tension[J]. Nature Photonics, 5, 318-321(2011).

[77] Zhang Y Q, Zhang S S, Min C J et al. Research progress of femtosecond optical tweezers and their applications[J]. Chinese Journal of Lasers, 48, 1918001(2021).

[78] Liang Y S, Yao B L, Lei M et al. Optical micro-manipulation based on spatial modulation of optical fields[J]. Acta Optica Sinica, 36, 1026003(2016).

[79] Conkey D B, Trivedi R P, Pavani S R P et al. Three-dimensional parallel particle manipulation and tracking by integrating holographic optical tweezers and engineered point spread functions[J]. Optics Express, 19, 3835-3842(2011).

[80] Zhang S J, Li Y, Liu Z P et al. Two-photon polymerization of a three dimensional structure using beams with orbital angular momentum[J]. Applied Physics Letters, 105, 061101(2014).

[81] Liu L P, Zhang S J, Yang H et al. Fabrication of double-helix microstructures by two-photon polymerization[J]. Chinese Journal of Lasers, 44, 0102006(2017).

[82] Ni J C, Hu Y L, Liu S L et al. Controllable double-helical microstructures by photonic orbital angular momentum for chiroptical response[J]. Optics Letters, 46, 1401-1404(2021).

[83] Yang B, Cheng H, Chen S Q et al. Multi-dimensional manipulation of optical field by metasurfaces based on Fourier analysis[J]. Acta Optica Sinica, 39, 0126005(2019).