Review of spin-orbit angular momentum interaction
in tightly focused fields

doi:10.3969/j.issn.1007-5461.2022.01.005

Abstract

Abstract: Light can carry both spin and orbital angular momenta, which are determined by light’s polarization and spatial degrees of freedom respectively. In paraxial fields, optical spin and orbital angular momenta are mutually independent and conserved under free-space propagation. By contrast, in nonparaxial fields, such as tightly focused or scattered fields, the coupling and transformation between the spin and orbital angular momenta occur. Particularly, because it is widely involved in applications such as optical trapping, microscopy and sensing, spin-orbit interactions (SOIs) occurring in tight focusing systems have gained much attention recently. This review presents the theoretical calculation of spin and orbital angular momenta in the tightly focused fields, reveals the relationship between SOIs and the incident structured light fields, and briefly introduces the latest progress of the related applications.

Key words: Fourier optics, tight focusing, spin angular momentum, orbital angular momentum, spinorbital angular momentum interaction, optical trapping

CLC Number:

O431.1

WU Yijing , YU Panpan , LIU Yifan , WANG Ziqiang , LI Yinmei , , GONG Lei , ∗. Review of spin-orbit angular momentum interaction in tightly focused fields[J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 81-95.

References

[1]Poynting J H.The wave motion of a revolving shaft,and a suggestion as to the angular momentum in a beam of circularly polarised light[J].P R Soc Lond a-Conta, 1909, 82(557):560-7
[2]Allen L, Barnett S M, Padgett M J.Optical angular momentum [M]. CRC press, 2016.
[3]Allen L, Beijersbergen M W, Spreeuw R J C, et al.Orbital Angular-Momentum of Light and the Transformation of Laguerre-Gaussian Laser Modes[J].Phys Rev A, 1992, 45(11):8185-9
[4]Bliokh K Y, Ostrovskaya E A, Alonso M A, et al.Spin-to-orbital angular momentum conversion in focusing,scattering,and imaging systems[J].Optics express, 2011, 19(27):26132-49
[5]Liberman V, Zel’dovich B Y.Spin-orbit interaction of a photon in an inhomogeneous medium[J].Phys Rev A, 1992, 46(8):5199--
[6]Marrucci L, Manzo C, Paparo D.Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media [J]. Phys Rev Lett, 2006, 96(16).[J].PHYSICAL REVIEW LETTERS, 2006, 96(16):163905--
[7]Shitrit N, Yulevich I, Maguid E, et al.Spin-Optical Metamaterial Route to Spin-Controlled Photonics[J].Science, 2013, 340(6133):724-6
[8]Mueller J P B, Rubin N A, Devlin R C, et al.Metasurface Polarization Optics: Independent Phase Control of Arbitrary Orthogonal States of Polarization [J]. Phys Rev Lett, 2017, 118(11).[J].Physical Review Letters, 2018, 118(11):113901--
[9]Divitt S, Zhu W Q, Zhang C, et al.Ultrafast optical pulse shaping using dielectric metasurfaces[J].Science, 2019, 364(6443):890-894
[10]Bliokh K Y, Rodriguez-Fortuno F J, Nori F, et al.Spin-orbit interactions of light[J].Nat Photonics, 2015, 9(12):796-808
[11]Chen Z Y, Hua L M, Pu J X.Tight Focusing of Light Beams: Effect of Polarization, Phase, and Coherence [J]. Prog Optics, 2012, 57: 219-60.[J].Progress in Optics, 2012, 57(-):219-260
[12]Dorn R, Quabis S, Leuchs G.Sharper focus for a radially polarized light beam [J]. Phys Rev Lett, 2003, 91(23).[J].Physical review letters, 2003, 91(23):233901--
[13]Bomzon Z E, Gu M, Shamir J.Angular momentum and geometrical phases in tight-focused circularly polarized plane waves[J].Applied physics letters, 2006, 89(24):241104--
[14]Bomzon Z, Gu M.Space-variant geometrical phases in focused cylindrical light beams[J].Opt Lett, 2007, 32(20):3017-9
[15]Jiao X Y, Liu S, Wang Q, et al.Redistributing energy flow and polarization of a focused azimuthally polarized beam with rotationally symmetric sector-shaped obstacles[J].Opt Lett, 2012, 37(6):1041-3
[16]Nieminen T A, Stilgoe A B, Heckenberg N R, et al.Angular momentum of a strongly focused Gaussian beam [J]. J Opt a-Pure Appl Op, 2008, 10(11).[J].Journal of Optics A: Pure and Applied Optics, 2008, 10(11):115005--
[17]Zhao Y Q, Edgar J S, Jeffries G D M, et al.Spin-to-orbital angular momentum conversion in a strongly focused optical beam [J]. Phys Rev Lett, 2007, 99(7).[J].Physical Review Letters, 2007, 99(7):073901--
[18]Paterson L, Macdonald M P, Arlt J, et al.Controlled rotation of optically trapped microscopic particles[J].Science, 2001, 292(5518):912-4
[19]Marago O M, Jones P H, Gucciardi P G, et al.Optical trapping and manipulation of nanostructures[J].Nat Nanotechnol, 2013, 8(11):807-19
[20]Zhong M C, Gong L, Li D, et al.Optical trapping of core-shell magnetic microparticles by cylindrical vector beams [J]. Applied Physics Letters, 2014, 105(18).[J].Applied Physics Letters, 2014, 105(18):181112--
[21]Skelton S E, Sergides M, Saija R, et al.Trapping volume control in optical tweezers using cylindrical vector beams[J].Opt Lett, 2013, 38(1):28-30
[22]Torok P, Munro P R T.The use of Gauss-Laguerre vector beams in STED microscopy[J].Optics Express, 2004, 12(15):3605-17
[23]Segawa S, Kozawa Y, Sato S.Resolution enhancement of confocal microscopy by subtraction method with vector beams[J].Opt Lett, 2014, 39(11):3118-21
[24]Bauer T, Orlov S, Peschel U, et al.Nanointerferometric amplitude and phase reconstruction of tightly focused vector beams[J].Nat Photonics, 2014, 8(1):24-8
[25]Zhang Y J, Bai J P.Improving the recording ability of a near-field optical storage system by higher-order radially polarized beams[J].Optics Express, 2009, 17(5):3698-706
[26]Richards B, Wolf E.Electromagnetic diffraction in optical systems,IIStructure of the image field in an aplanatic system[J].Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences, 1959, 253(1274):358-79
[27]Youngworth K S, Brown T G.Focusing of high numerical aperture cylindrical-vector beams[J].Optics Express, 2000, 7(2):77-87
[28]Aiello A, Banzer P, Neugebaueru M, et al.From transverse angular momentum to photonic wheels[J].Nat Photonics, 2015, 9(12):789-95
[29]Bomzon Z, Gu M, Shamir J.Angular momentum and geometrical phases in tight-focused circularly polarized plane waves [J]. Applied Physics Letters, 2006, 89(24).[J].Applied physics letters, 2006, 89(24):241104--
[30]Li M M, Cai Y A, Yan S H, et al.Orbit-induced localized spin angular momentum in strong focusing of optical vectorial vortex beams [J]. Phys Rev A, 2018, 97(5).[J].Physical Review A, 2018, 97(5):053842--
[31]Beth R A.Mechanical detection and measurement of the angular momentum of light[J].Phys Rev, 1936, 50(2):115-25
[32]Zhao Y Q, Shapiro D, Mcgloin D, et al.Direct observation of the transfer of orbital angular momentum to metal particles from a focused circularly polarized Gaussian beam[J].Optics Express, 2009, 17(25):23316-22
[33]Han L, Liu S, Li P, et al.Catalystlike effect of orbital angular momentum on the conversion of transverse to three-dimensional spin states within tightly focused radially polarized beams [J]. Phys Rev A, 2018, 97(5).[J].Physical Review A, 2018, 97(5):053802--
[34]Shi P, Du L P, Yuan X C.Structured spin angular momentum in highly focused cylindrical vector vortex beams for optical manipulation[J].Optics Express, 2018, 26(18):23449-59
[35]Yu P P, Zhao Q, Hu X Y, et al.Orbit-induced localized spin angular momentum in the tight focusing of linearly polarized vortex beams[J].Opt Lett, 2018, 43(22):5677-80
[36]Yu P P, Liu Y F, Wang Z Q, et al.Interplay between Spin and Orbital Angular Momenta in Tightly Focused Higher-Order Poincare Sphere Beams [J]. Annalen Der Physik, 2020, 532(8).[J].Annalen der Physik, 2020, 532(8):2000110--
[37]Neugebauer M, Bauer T, Aiello A, et al.Measuring the Transverse Spin Density of Light [J]. Phys Rev Lett, 2015, 114(6).[J].Physical review letters, 2015, 114(6):063901--
[38]Eismann J S, Nicholls L H, Roth D J, et al.Transverse spinning of unpolarized light[J].Nat Photonics, 2021, 15(2):156-161
[39]Chong A, Wan C H, Chen J, et al.Generation of spatiotemporal optical vortices with controllable transverse orbital angular momentum[J].Nat Photonics, 2020, 14(6):350-354
[40]Cardano F, Marrucci L.Spin-orbit photonics[J].Nat Photonics, 2015, 9(12):776-8
[41]Shvedov V, Davoyan A R, Hnatovsky C, et al.A long-range polarization-controlled optical tractor beam[J].Nat Photonics, 2014, 8(11):846-50
[42]Abouraddy A F, Toussaint K C.Three-dimensional polarization control in microscopy [J]. Phys Rev Lett, 2006, 96(15).[J].Physical review letters, 2006, 96(15):153901--
[43]Gao J, Yan S K, Zhou Y, et al.Polarization-conversion microscopy for imaging the vectorial polarization distribution in focused light[J].Optica, 2021, 8(7):984-94
[44]Li X P, Lan T H, Tien C H, et al.Three-dimensional orientation-unlimited polarization encryption by a single optically configured vectorial beam [J]. Nat Commun, 2012, 3.[J].nature Communications, 2012, 3(1):1-6
[45]Huang S-Y, Zhang G-L, Wang Q, et al. Spin-to-Orbital Angular Momentum Conversion via Light Intensity Gradient [J]. arXiv prep.[J].rXiv:210703005, 2021., rint, :-
[46]Chen R P, Chew K H, Dai C Q, et al.Optical spin-to-orbital angular momentum conversion in the near field of a highly nonparaxial optical field with hybrid states of polarization [J]. Phys Rev A, 2017, 96(5).[J].Physical Review A, 2017, 96(5):053862--
[47]Roy B, Ghosh N, Banerjee A, et al.Manifestations of geometric phase and enhanced spin Hall shifts in an optical trap [J]. New J Phys, 2014, 16.[J].New Journal of Physics, 2014, 16(8):083037--
[48]Nechayev S, Eismann J S, Leuchs G, et al.Orbital-to-spin angular momentum conversion employing local helicity [J]. Phys Rev B, 2019, 99(7).[J].Physical Review B, 2019, 99(7):075115--
[49]Rittweger E, Han K Y, Irvine S E, et al.STED microscopy reveals crystal colour centres with nanometric resolution[J].Nat Photonics, 2009, 3(3):144-7
[50]Rodriguez-Herrera O G, Lara D, Bliokh K Y, et al.Optical Nanoprobing via Spin-Orbit Interaction of Light [J]. Phys Rev Lett, 2010, 104(25).[J].Physical review letters, 2010, 104(25):253601--
[51]Wozniak P, De Leon I, Hoflich K, et al.Interaction of light carrying orbital angular momentum with a chiral dipolar scatterer[J].Optica, 2019, 6(8):961-5
[52]Bhebhe N, Williams P a C, Rosales-Guzman C, et al.A vector holographic optical trap [J]. Sci Rep-Uk, 2018, 8.[J].Scientific reports, 2018, 8(1):1-9
[53]Parker J, Eterson C W P, Yifat Y, et al.Optical matter machines: angular momentum conversion by collective modes in optically bound nanoparticle arrays[J].Optica, 2020, 7(10):1341-8

Review of spin-orbit angular momentum interaction in tightly focused fields

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	WANG Xiaoyan, WANG Zhiyuan, CHEN Ziyang, PU Jixioing ∗. Detection of orbital angular momentum of multiple vortices from speckle via deep learning [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 955-961.
[2]	CHEN Rongquan ∗ , CHEN Yuanfu , WANG Qing , WU Zhigang . Propagation properties of oﬀ-axis multi-vortex-Gaussian beams in negative refractive index media [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 795-805.
[3]	WANG Xinghua, CHEN Rongquan∗, WANG Qing. Complex variable Hermite-Gaussian spatial solitons of different orders in strong nonlocal media [J]. Chinese Journal of Quantum Electronics, 2022, 39(3): 459-466.
[4]	XU Xiaoyin, LIU Shengshuai, JING Jietai, . Experimental generation of optical orbital-angular-momentum multiplexed entanglement and its applications [J]. Chinese Journal of Quantum Electronics, 2022, 39(2): 182-196.
[5]	SUN Yifan, CHEN Tian, ZHANG Zhuo, KONG Lingjun, ZHANG Xiangdong∗. Classical optical correlation in beam fields with orbital angular momentum and its application [J]. Chinese Journal of Quantum Electronics, 2022, 39(2): 197-224.
[6]	OUYANG Xu, ZHANG Mingsi, YANG Qingshuai, CAO Yaoyu, XU Yi, LI Xiangping. Progress in orbital angular momentum multiplexing and detection based on nano structures [J]. Chinese Journal of Quantum Electronics, 2022, 39(2): 251-261.
[7]	CHENG Ke, HU Xiaonan, HE Yu, MENG Weijia, LUAN Haitao, GU Min, FANG Xinyuan, . Detecting orbital angular momentum of perfect optical vortex beams based on diffraction neural networks [J]. Chinese Journal of Quantum Electronics, 2022, 39(2): 262-271.
[8]	HU Haifeng, ZHAN Qiwen∗. Chirality measurements using orbital angular momentum of light [J]. Chinese Journal of Quantum Electronics, 2022, 39(2): 272-285.
[9]	XU Kai ♯ , CAO Huan , ♯ , ZHANG Chao ∗ , HU Xiaomin , HUANG Yunfeng ∗ , LIU Biheng , LI Chuanfeng ∗. Recent advances in transmission of photonic orbital angular momentum quantum state [J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 3-31.
[10]	ZHOU Zhiyuan ∗ , SHI Baosen ∗. Recent progress on frequency conversion of orbital angular momentum carrying light [J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 32-49.
[11]	RU Shihao , , WANG Xiao , , WANG Yunlong , , WANG Feiran , , LIU Ruifeng , , ZHANG Pei , , LI Fuli , ∗. Quantum Manipulation and Application of Photon Orbital Angular Momentum [J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 96-109.
[12]	FAN Haihao , ZHU Liuhao , TAI Yuping , LI Xinzhong , ∗. Orbital angular momentum of higher-order diffraction beams [J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 127-135.
[13]	JIANG Jiaqi, Carmelo Rosales-Guzman, ZHU Zhihan ∗. Perfect flattop vortex beams [J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 136-141.
[14]	CHEN Bo , ∗ , LIU Jin , . Properties of a point light source in microring resonator with orbital angular momentum [J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 150-158.
[15]	WANG Gang, REN Changliang∗. Research on light source in new quantum radar [J]. Chinese Journal of Quantum Electronics, 2020, 37(6): 659-668.