A decomposition of light's spin angular momentum density

Alex J. Vernon; Sebastian Golat; Claire Rigouzzo; Eugene A. Lim; Francisco J. Rodríguez-Fortuño

doi:10.1038/s41377-024-01447-9

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A decomposition of light's spin angular momentum density

Original Articles

- A decomposition of light's spin angular momentum density
- A decomposition of light's spin angular momentum density
- LSA 2024年13卷第8期页码：1578-1589
- Affiliations：
  
  1.Department of Physics, King's College London, Strand, London WC2R 2LS, UK
  2.London Centre for Nanotechnology, London, UK
- Author bio：
  
  Francisco J. Rodríguez-Fortuño (francisco.rodriguez_fortuno@kcl.ac.uk)
- Funds：
- DOI：10.1038/s41377-024-01447-9
  中图分类号：
- 收稿日期：2023-11-06，
  
  修回日期：2024-03-14，
  
  录用日期：2024-04-07，
  
  网络出版日期：2024-07-10，
  
  纸质出版日期：2024-08-31
- Accepted：
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A decomposition of light's spin angular momentum density[J]. LSA, 2024,13(8):1578-1589.

Vernon, A. J. et al. A decomposition of light's spin angular momentum density. Light: Science & Applications, 13, 1578-1589 (2024).
A decomposition of light's spin angular momentum density[J]. LSA, 2024,13(8):1578-1589. DOI： 10.1038/s41377-024-01447-9.

Vernon, A. J. et al. A decomposition of light's spin angular momentum density. Light: Science & Applications, 13, 1578-1589 (2024). DOI： 10.1038/s41377-024-01447-9.

摘要

Abstract

Light carries intrinsic spin angular momentum (SAM) when the electric or magnetic field vector rotates over time. A familiar vector equation calculates the direction of light's SAM density using the right-hand rule with reference to the electric and magnetic polarisation ellipses. Using Maxwell's equations

this vector equation can be decomposed into a sum of two distinct terms

akin to the well-known Poynting vector decomposition into orbital and spin currents. We present the first general study of this spin decomposition

showing that the two terms

which we call canonical and Poynting spin

are chiral analogies to the canonical and spin momenta of light in its interaction with matter. Like canonical momentum

canonical spin is directly measurable. Both canonical and Poynting spin incorporate spatial variation of the electric and magnetic fields and are influenced by optical vortices. The decomposition allows us to show that a linearly polarised vortex beam

which has no total SAM

can nevertheless exert longitudinal chiral pressure due to equal and opposite canonical and Poynting spins.

关键词

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references

Barnett, S. M. Rotation of electromagnetic fields and the nature of optical angular momentum. J. Mod. Opt. 57 , 1339–1343 (2010)..

Barnett, S . M. et al. On the natures of the spin and orbital parts of optical angular momentum. J. Opt. 18 , 064004 (2016)..

van Enk, S. J. & Nienhuis, G. Spin and orbital angular momentum of photons. Europhys. Lett. 25 , 497–501 (1994)..

Bliokh, K. Y. & Nori, F. Transverse and longitudinal angular momenta of light. Phys. Rep. 592 , 1–38 (2015)..

Allen, L. et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45 , 8185–8189 (1992)..

Yao, A. M. & Padgett, M. J. Orbital angular momentum: origins, behavior and applications. Adv. Opt. Photon. 3 , 161–204 (2011)..

Dennis, M. R., O'Holleran, K. & Padgett, M. J. Singular optics: optical vortices and polarization singularities. Prog. Opt. 53 , 293–363 (2009)..

Berry, M. V. & Dennis, M. R. Phase singularities in isotropic random waves. Proc. R. Soc. A: Math. Phys. Eng. Sci. 456 , 2059–2079 (2000)..

Cameron, R. P., Barnett, S. M. & Yao, A. M. Optical helicity, optical spin and related quantities in electromagnetic theory. N. J. Phys. 14 , 053050 (2012)..

Canaguier-Durand, A. et al. Mechanical separation of chiral dipoles by chiral light. N. J. Phys. 15 , 123037 (2013)..

Wang, S. B. & Chan, C. T. Lateral optical force on chiral particles near a surface. Nat. Commun. 5 , 3307 (2014)..

Forbes, K. A. & Andrews, D. L. Orbital angular momentum of twisted light: chirality and optical activity. J. Phys. Photon. 3 , 022007 (2021)..

Forbes, K. A. Raman optical activity using twisted photons. Phys. Rev. Lett. 122 , 103201 (2019)..

Ye, L. et al. Probing molecular chirality by orbital-angular-momentum-carrying X-ray pulses. J. Chem. Theor. Comput. 15 , 4180–4186 (2019)..

Forbes, K. A. & Andrews, D. L. Spin-orbit interactions and chiroptical effects engaging orbital angular momentum of twisted light in chiral and achiral media. Phys. Rev. A 99 , 023837 (2019)..

Forbes, K. A. & Jones, G. A. Measures of helicity and chirality of optical vortex beams. J. Opt. 23 , 115401 (2021)..

Forbes, K. A. Optical helicity of unpolarized light. Phys. Rev. A 105 , 023524 (2022)..

Andrews, D. L., Romero, L. C. D. & Babiker, M. On optical vortex interactions with chiral matter. Opt. Commun. 237 , 133–139 (2004)..

Araoka, F. et al. Interactions of twisted light with chiral molecules: An experimental investigation. Phys. Rev. A 71 , 055401 (2005)..

Berry, M. V. Optical currents. J. Opt. Pure Appl. Opt. 11 , 094001 (2009)..

Barnett, S. M. Resolution of the Abraham-Minkowski dilemma. Phys. Rev. Lett. 104 , 070401 (2010)..

Bliokh, K. Y., Bekshaev, A. Y. & Nori, F. Optical momentum and angular momentum in complex media: from the Abraham–Minkowski debate to unusual pro perties of surface plasmon-polaritons. N. J. Phys. 19 , 123014 (2017)..

Shi, P. et al. Transverse spin dynamics in structured electromagnetic guided waves. Proc. Natl Acad. Sci. USA 118 , e2018816118 (2021)..

Shi, P. et al. Spin-momentumproperties in the paraxial optical systems. ACS Photon. 10 , 2332–2343 (2023)..

Shi, P. et al. Dynamical and topological properties of the spin angular momenta in general electromagnetic fields. Commun. Phys. 6 , 283 (2023)..

Bekshaev, A. Y. Transverse spin and the hidden vorticity of propagating light fields. J. Opt. Soc. Am. A 39 , 1577–1583 (2022)..

Bliokh, K. Y., Kivshar, Y. S. & Nori, F. Magnetoelectric effects in local light-matter interactions. Phys. Rev. Lett. 113 , 033601 (2014)..

Barnett, S. M. Maxwellian theory of gravitational waves and their mechanical properties. N. J. Phys. 16 , 023027 (2014)..

Bliokh, K. Y. & Nori, F. Characterizing optical chirality. Phys. Rev. A 83 , 021803(R) (2011)..

Tang, Y. Q. & Cohen, A. E. Optical chirality and its interaction with matter. Phys. Rev. Lett. 104 , 163901 (2010)..

Lipkin, D. M. Existence of a new conservation law in electromagnetic theory. J. Math. Phys. 5 , 696–700 (1964)..

Yoo, S. & Park, Q. H. Metamaterials and chiral sensing: a review of fundamentals and applications. Nanophotonics 8 , 249–261 (2019)..

Hayat, A., Mueller, J. P. B. & Capasso, F. Lateral chirality-sorting optical forces. Proc. Natl Acad. Sci. USA 112 , 13190–13194 (2015)..

Zhang, T. H. et al. All-optical chirality-sensitive sorting via reversible lateral forces in interference fields. ACS Nano 11 , 4292–4300 (2017)..

Cao, T. et al. Fano resonance in asymmetric plasmonic nanostructure: separation of sub-10 nm enantiomers. Adv. Opt. Mater. 7 , 1801172 (2019)..

Nieto-Vesperinas, M. et al. Optical forces on small magnetodielectric particle. Opt. Exp. 18 , 11428 (2010)..

Golat, S. et al. Optical chiral sorting forces and their manifestation in evanescent waves and nanofibres. Print at https://kclpure.kcl.ac.uk/portal/en/publications/optical-chiral-sorting-forces-and-their-manifestation-in-evanesce https://kclpure.kcl.ac.uk/portal/en/publications/optical-chiral-sorting-forces-and-their-manifestation-in-evanesce (2023).

Bliokh, K. Y., Bekshaev, A. Y. & Nori, F. Dual electromagnetism: helicity, spin, momentum and angular momentum. N. J. Phys. 15 , 033026 (2013)..

Wei, L. & Rodríguez-Fortuño, F. J. Momentum-space geometric structure of helical evanescent waves and its implications on near-field directionality. Phys. Rev. Appl. 13 , 014008 (2020)..

Fernandez-Corbaton, I. Helicity and duality symmetry in light matter interactions: theory and applications. Ph. D Thesis (Macquarie University, Sydney, 2014).

Aiello, A. & Berry, M. V. Note on the helicity decomposition of spin and orbital optical currents. J. Opt. 17 , 062001 (2015)..

Vázquez-Lozano, J. E. & Martínez, A. Optical chirality in dispersive and lossy media. Phys. Rev. Lett. 121 , 043901 (2018)..

Tyldesley, J. R. An Introduction to Tensor Analysis for Engineers and Applied Scientists (Longman, 1975).

Cameron, R. P. & Barnett, S. M. Electric–magnetic symmetry and Noether's theorem. N. J. Phys. 14 , 123019 (2012)..

Rigouzzo, C. & Golat, S. Spin-decomposition at https://github.com/crigouzzo/spin-decompositionURL https://github.com/crigouzzo/spin-decompositionURL . (2023).

Kingsley-Smith, J. J. & Rodríguez-Fortuño, F. J. Efficient post-processing of electromagnetic plane wave simulations to model arbitrary structured beams incident on axisymmetric structures. N. J. Phys. 25 , 103043 (2023)..

Green, D. & Forbes, K. A. Optical chirality of vortex beams at the nanoscale. Nanoscale 15 , 540–552 (2023)..

Bliokh, K. Y. et al. Field theory spin and momentum in water waves. Sci. Adv. 8 , eabm1295 (2022)..

Bliokh, K. Y. & Nori, F. Spin and orbital angular momenta of acoustic beams. Phys. Rev. B 99 , 174310 (2019)..

Bliokh, K. Y. & Nori, F. Transverse spin and surface waves in acoustic metamaterials. Phys. Rev. B 99 , 020301 (2019)..

Abbott, B. P. et al. Observation of gravitational waves from a binary black hole merger. Phys. Rev. Lett. 116 , 061102 (2016)..

Abbott, B. P. et al. GW170817: observation of gravitational waves from a binary neutron star inspiral. Phys. Rev. Lett. 119 , 161101 (2017)..

Golat,S., Lim, E. A. & Rodríguez-Fortuño, F. J. Evanescent gravitational waves. Phys. Rev. D 101 , 084046 (2020)..

Xin, S., Long, Y. & Ren, J. Spin angular momentum of gravitational wave interference. N. J. Phys. 23 , 043035 (2021)..

He, H., Heckenberg, N. R. & Rubinsztein-Dunlop, H. Optical particle trapping with higher-order doughnut beams produced using high efficiency computer generated holograms. J. Mod. Opt. 42 , 217–223 (1995)..

Grimm, R., Weidemüller, M. & Ovchinnikov, Y. B. Optical dipole traps for neutral atoms. Adv. Atom. Mole. Opt. Phys. 42 , 95–170 (2000)..

Vetsch, E. et al. Optical interface created by laser-cooled atoms trapped in the evanescent field surrounding an optical nanofiber. Phys. Rev. Lett. 104 , 203603 (2010)..

Antognozzi, M. et al. Direct measurements of the extraordinary optical momentum and transverse spin-dependent force using a nano-cantilever. Nat. Phys. 12 , 731–735 (2016)..

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