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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 9 — Sep. 1, 2012
  • pp: 2531–2541

Optical force on a pair of concentric spheres in a focused laser beam: ray-optics regime

Sang Bok Kim, Kyung Heon Lee, Sang Soo Kim, and Hyung Jin Sung  »View Author Affiliations

JOSA B, Vol. 29, Issue 9, pp. 2531-2541 (2012)

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The photon stream method is used to derive the optical force on a pair of concentric spheres in a focused beam. The effects of the differences in refractive index and relative size between the inner and outer spheres on the optical force are evaluated. In addition, the effects of total internal reflection at the interface between the inner and outer spheres are examined. Computational results are compared with previous findings. The present method can be applied to arbitrary intensity distributions of the laser beam.

© 2012 Optical Society of America

OCIS Codes
(170.1530) Medical optics and biotechnology : Cell analysis
(140.3298) Lasers and laser optics : Laser beam combining

ToC Category:
Lasers and Laser Optics

Original Manuscript: April 27, 2012
Revised Manuscript: June 30, 2012
Manuscript Accepted: July 16, 2012
Published: August 29, 2012

Virtual Issues
Vol. 7, Iss. 11 Virtual Journal for Biomedical Optics

Sang Bok Kim, Kyung Heon Lee, Sang Soo Kim, and Hyung Jin Sung, "Optical force on a pair of concentric spheres in a focused laser beam: ray-optics regime," J. Opt. Soc. Am. B 29, 2531-2541 (2012)

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  1. A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24, 156–159 (1970). [CrossRef]
  2. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, “Observation of a single-beam gradient force optical trap for dielectric particles,” Opt. Lett. 11, 288–289 (1986). [CrossRef]
  3. S. Chu, “The manipulation of neutral particles,” Rev. Mod. Phys. 70, 685–706 (1998). [CrossRef]
  4. A. Ashkin and J. M. Dziedzic, “Optical trapping and manipulation of viruses and bacteria,” Science 235, 1517–1520 (1987). [CrossRef]
  5. T. N. Buican, M. J. Smith, H. A. Crissman, G. C. Salzeman, C. C. Stewart, and J. C. Martin, “Automated single-cell manipulation and sorting by light trapping,” Appl. Opt. 26, 5311–5316 (1987). [CrossRef]
  6. D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003). [CrossRef]
  7. S. Chu, “The manipulation of neutral particles,” Rev. Mod. Phys. 70, 685–706 (1998). [CrossRef]
  8. F. Borghese, P. Denti, R. Saija, and M. A. Iatì, “Optical trapping of nonspherical particles in the T-matrix formalism,” Opt. Express 15, 11984–11998 (2007). [CrossRef]
  9. R. C. Gauthier, “Computation of the optical trapping force using an FDTD based technique,” Opt. Express 13, 3707–3718 (2005). [CrossRef]
  10. A. Ashkin, “Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime,” Biophys. J. 61, 569–582 (1992). [CrossRef]
  11. R. C. Gauthier and S. Wallace, “Optical levitation of spheres: analytical development and numerical computations of the force equations,” J. Opt. Soc. Am. B 12, 1680–1686 (1995). [CrossRef]
  12. S. B. Kim and S. S. Kim, “Radiation forces on spheres in loosely focused Gaussian beam: ray-optics regime,” J. Opt. Soc. Am. B 23, 897–903. [CrossRef]
  13. R. C. Gauthier, “Optical trapping a tool to assist optical machining,” Opt. Laser Technol. 29, 389–399 (1997). [CrossRef]
  14. R. C. Gauthier, “Ray optics model and numerical computations for radiation pressure micromotor,” Appl. Phys. Lett. 67, 2269–2271 (1995). [CrossRef]
  15. R. C. Gauthier, “Theoretical model for an improved radiation pressure micromotor,” Appl. Phys. Lett. 69, 2015–2017 (1996). [CrossRef]
  16. R. C. Gauthier, “Laser-trapping properties of dual-component spheres,” Appl. Opt. 41, 7135–7144 (2002). [CrossRef]
  17. S. B. Kim, J. H. Kim, and S. S. Kim, “Theoretical development of in situ optical particle separator: cross-type optical chromatography,” Appl. Opt. 45, 6919–6924 (2006). [CrossRef]
  18. S. J. Hart and A. V. Terray, “Refractive-index-driven separation of colloidal polymer particles using optical chromatography,” Appl. Phys. Lett. 83, 5316–5318 (2003). [CrossRef]
  19. S. J. Hart, A. Terray, T. A. Leski, J. Arnold, and R. Stroud, “Discovery of a significant optical chromatography difference between spores of Bacillus anthracis and its close relative, Bacillus thuringiensis,” Anal. Chem. 78, 3221–3225 (2006). [CrossRef]
  20. A. Terray, H. D. Ladouceur, M. Hammond, and S. J. Hart, “Numerical simulation of an optical chromatographic separator,” Opt. Express 17, 2024–2032 (2009). [CrossRef]
  21. S. B. Kim, S. Y. Yoon, H. J. Sung, and S. S. Kim, “Cross-type optical particle separation in a microchannel,” Anal. Chem. 80, 2628–2630 (2008). [CrossRef]
  22. Y. Chang, L. Hsu, and S. Chi, “Optical trapping of a spherically symmetric sphere in the ray-optics regime: a model for optical tweezers upon cells,” Appl. Opt. 45, 3885–3891 (2006). [CrossRef]
  23. V. Backman, M. B. Wallace, L. T. Perelman, J. T. Arendt, R. Gurjar, M. G. Műller, Q. Zhang, G. Zonios, E. Kline, T. McGillican, S. Shapshay, T. Valdez, K. Badizadegan, S. Kabani, H. S. Levin, M. Seiler, R. R. Dasari, I. Itzkan, J. Van Dam, and M. S. Feld, “Detection of preinvasive cancer cells,” Nature 406, 35–36 (2000). [CrossRef]
  24. H. Maenaka, M. Yamada, M. Yasuda, and M. Seki, “Continuous and size-dependent sorting of emulsion droplets using hydrodynamics in pinched microchannels,” Anal. Chem. 24, 4405–4410 (2008).
  25. H. Misawa, N. Kitamura, and H. Masuhara, “Laser manipulation and ablation of a single microcapsule in water,” J. Chem. Am. Soc. 113, 7856–7863 (1991). [CrossRef]
  26. K. H. Lee, S. B. Kim, S. Y. Yoon, K. S. Lee, J. H. Jung, and H. J. Sung, “Behavior of double emulsions in a cross-type optical separation system,” Langmuir 28, 7343–7349 (2012). [CrossRef]
  27. K. Ariga, Y. M. Lvov, K. Kawakami, Q. Ji, and J. P. Hill, “Layer-by-layer self-assembled shells for drug delivery,” Adv. Drug Delivery Rev. 63, 762–771 (2011). [CrossRef]
  28. M. He, J. S. Edgar, G. D. M. Jefferies, R. M. Lorenz, J. P. Shelby, and D. T. Chu, “Selective encapsulation of single cells and subcellular organelles into picoliter- and femtoliter-volume droplets,” Anal. Chem. 77, 1539–1544 (2005). [CrossRef]
  29. S. Köster, F. E. Angile, H. Duan, J. J. Agresti, A. Wintner, C. Schmitz, A. C. Rowat, C. A. Merten, D. Pisignano, A. D. Griffiths, and D. A. Weitz, “Drop-based microfluidic devices for encapsulation of single cells,” Lab Chip 8, 1110–1115 (2008). [CrossRef]
  30. E. Sidick, S. D. Collins, and A. Knoesen, “Trapping forces in a multiple-beam fiber-optic trap,” Appl. Opt. 36, 6423–6433 (1997). [CrossRef]
  31. B. E. A. Saleh and M. C. Teich, Fundamentals of Photonics(Wiley, 1991).
  32. S. Nemoto and H. Togo, “Axial force acting on a dielectric sphere in a focused laser beam,” Appl. Opt. 37, 6386–6394 (1998). [CrossRef]
  33. V. Bormuth, A. Jannasch, M. Ander, C. M. van Kats, A. van Blaaderen, J. Howard, and E. Schäffer, “Optical trapping of coated microspheres,” Opt. Express 16, 13831–13844 (2008). [CrossRef]
  34. W. Li, X. Sha, W. Dong, and Z. Wang, “Synthesis of stable hollow silica microspheres with mesoporous shell in nonionic W/O emulsion,” Chem. Commun.2434–2435 (2002). [CrossRef]
  35. J. A. Stratton, Electromagnetic Theory (IEEE, 2007).
  36. S. B. Kim, H. J. Sung, and S. S. Kim, “Nondimensional analysis of particle behavior during cross-type optical particle separation,” Appl. Opt. 48, 4291–4296 (2009). [CrossRef]

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