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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 9 — Sep. 1, 2006
  • pp: 2324–2330

Trapping and binding of an arbitrary number of cylindrical particles in an in-plane electromagnetic field

Tomasz M. Grzegorczyk, Brandon A. Kemp, and Jin Au Kong  »View Author Affiliations


JOSA A, Vol. 23, Issue 9, pp. 2324-2330 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002324


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Abstract

The Mie theory and the Foldy–Lax multiple-scattering equations are applied to compute the scattered field of an arbitrary number of infinite dielectric cylinders of arbitrary size, subject to in-plane incidences. The Maxwell stress tensor is then used to compute the force on each cylinder. Trapping and binding forces are studied as a function of particle size, number, permittivity, and separation. Finally, the formulation is applied to a system of 20 particles, and the results show clear similarities with known experimental reports. The formulation presented here extends the capabilities of modeling particle interaction and optical matter beyond the simple cases of the Rayleigh regime and two-particle systems.

© 2006 Optical Society of America

OCIS Codes
(020.7010) Atomic and molecular physics : Laser trapping
(260.2110) Physical optics : Electromagnetic optics
(290.4210) Scattering : Multiple scattering

ToC Category:
Physical Optics

History
Original Manuscript: January 9, 2006
Revised Manuscript: March 1, 2006
Manuscript Accepted: March 16, 2006

Virtual Issues
Vol. 1, Iss. 10 Virtual Journal for Biomedical Optics

Citation
Tomasz M. Grzegorczyk, Brandon A. Kemp, and Jin Au Kong, "Trapping and binding of an arbitrary number of cylindrical particles in an in-plane electromagnetic field," J. Opt. Soc. Am. A 23, 2324-2330 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-9-2324


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References

  1. A. Ashkin, "Acceleration and trapping of particles by radiation pressure," Phys. Rev. Lett. 24, 156-159 (1970). [CrossRef]
  2. A. Ashkin and J. M. Dziedzic, "Optical levitation by radiation pressure," Appl. Phys. Lett. 19, 283-285 (1971). [CrossRef]
  3. A. Ashkin and J. M. Dziedzic, "Optical levitation in high vacuum," Appl. Phys. Lett. 28, 333-335 (1976). [CrossRef]
  4. A. Ashkin, "Applications of laser radiation pressure," Science 210, 1081-1088 (1980). [CrossRef] [PubMed]
  5. M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, "Optical binding," Phys. Rev. Lett. 63, 1233-1236 (1989). [CrossRef] [PubMed]
  6. M. M. Burns, J.-M. Fournier, and J. A. Golovchenko, "Optical matter: crystallization and binding in intense optical fields," Science 249, 749-754 (1990). [CrossRef] [PubMed]
  7. J.-M. Fournier, G. Boer, G. Delacrétaz, P. Jacquot, J. Rohner, and R. Salathé, "Building optical matter with binding and trapping forces," in Proc. SPIE 5514, 309-317 (2004). [CrossRef]
  8. A. Casaburi, G. Pesce, P. Zemánek, and A. Sasso, "Two- and three-beam interferometric optical tweezers," Opt. Commun. 251, 393-404 (2005). [CrossRef]
  9. T. M. Grzegorczyk, B. A. Kemp, and J. A. Kong, "Stable optical trapping based on optical binding forces," Phys. Rev. Lett. 96, 113903 (2006). [CrossRef] [PubMed]
  10. J. Stratton, Electromagnetic Theory (McGraw-Hill,1941).
  11. J. A. Kong, Electromagnetic Wave Theory (EMW, 2000).
  12. A. R. Zakharian, M. Mansuripur, and J. V. Moloney, "Radiation pressure and the distribution of electromagnetic force in dielectric media," Opt. Express 13, 2321-2336 (2005). [CrossRef] [PubMed]
  13. A. Ashkin, "Trapping of atoms by resonance radiation pressure," Phys. Rev. Lett. 40, 729-732 (1978). [CrossRef]
  14. J. P. Gordon, "Radiation forces and momenta in dielectric media," Phys. Rev. A 8, 14-21 (1973). [CrossRef]
  15. P. C. Chaumet and M. Nieto-Vesperinas, "Time-averaged total force on a dipolar sphere in an electromagnetic field," Opt. Lett. 25, 1065-1067 (2001). [CrossRef]
  16. J. R. Arias-González and M. Nieto-Vesperinas, "Optical forces on small particles: attractive and repulsive nature and plasmon-resonance conditions," J. Opt. Soc. Am. A 20, 1201-1209 (2003). [CrossRef]
  17. E. M. Purcell and C. R. Pennypacker, "Scattering and absorption of light by nonspherical dielectric grains," Astrophys. J. 186, 705-714 (1973). [CrossRef]
  18. P. C. Chaumet and M. Nieto-Vesperinas, "Coupled dipole method determination of the electromagnetic force on a particle over a flat dielectric substrate," Phys. Rev. B 61, 14119-14127 (2000). [CrossRef]
  19. C. Rockstuhl and H. P. Herzig, "Rigorous diffraction theory applied to the analysis of the optical force on elliptical nano- and micro-cylinders," J. Opt. A, Pure Appl. Opt. 6, 921-931 (2004). [CrossRef]
  20. A. Madrazo and M. Nieto-Vesperinas, "Scattering of electromagnetic waves from a cylinder in front of a conducting plane," J. Opt. Soc. Am. A 12, 1298-1309 (1995). [CrossRef]
  21. A. Madrazo and M. Nieto-Vesperinas, "Surface structure and polariton interactions in the scattering of electromagnetic waves from a cylinder in front of a conducting grating: theory for the reflection photon scanning tunneling microscope," J. Opt. Soc. Am. A 13, 785-795 (1996). [CrossRef]
  22. F. Depasse and J.-M. Vigoureux, "Optical binding force between two Rayleigh particles," J. Phys. D 27, 914-919 (1994). [CrossRef]
  23. P. C. Chaumet and M. Nieto-Vesperinas, "Optical binding of particles with or without the presence of a flat dielectric surface," Phys. Rev. B 64, 035422 (2001). [CrossRef]
  24. L. Tsang, J. Kong, K. Ding, and C. Ao, Scattering of Electromagnetic Waves: Numerical Simulations (Wiley, 2000). [CrossRef]
  25. L. L. Foldy, "The multiple scattering of waves," Phys. Rev. 67, 107-119 (1945). [CrossRef]
  26. M. Lax, "Multiple scattering of waves. II. The effective field in dense systems," Phys. Rev. 85, 261-269 (1952). [CrossRef]
  27. M. Lester and M. Nieto-Vesperinas, "Optical forces on microparticles in an evanescent laser field," Opt. Lett. 24, 936-938 (1999). [CrossRef]
  28. B. A. Kemp, T. M. Grzegorczyk, and J. A. Kong, "Ab initio study of the radiation pressure on dielectric and magnetic media," Opt. Express 13, 9280-9291 (2005). [CrossRef] [PubMed]
  29. B. A. Kemp, T. M. Grzegorczyk, and J. A. Kong, "Lorentz force on dielectric and magnetic particles," J. Electromagn. Waves Appl. 20, 827-839 (2006). [CrossRef]
  30. P. Zemánek, V. Karásek, and A. Sasso, "Optical forces acting on Rayleigh particle placed into interference field," Opt. Commun. 240, 401-415 (2004). [CrossRef]
  31. J.-M. Fournier, J. Rohner, P. Jacquot, R. Johann, S. Mias, and R. Salathé, "Assembling mesoscopic particles by various optical schemes," in Proc. SPIE 5930, 238-247 (2005).

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