Optical trapping of microrods: Variation with size and refractive index

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 28, Issue 5, 2011, Pages 850-858

  Simpson, Stephen H ^a   Hanna, Simon ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FRICTION; LIGHT REFRACTION; QUANTUM OPTICS; REFRACTIVE INDEX; REFRACTOMETERS; RESONANCE;

AMBIENT MEDIUM; BEAM WAIST; FRICTION COEFFICIENTS; INCIDENT FIELDS; LONG AXIS; MECHANICAL EQUILIBRIUM; MICRORODS; NUMERICAL CALCULATION; OPTICAL RESONANCE; OPTICAL TRAP; OPTICALTRAPPING; POLARIZATION STATE; POLARIZED PERPENDICULAR; RESTORING FORCES;

GAUSSIAN BEAMS;

EID: 79958831559     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.28.000850     Document Type: Article

References (43)

1. S. H. Simpson and S. Hanna, "Holographic optical trapping of microrods and nanowires," J. Opt. Soc. Am. A 27, 1255- 1264 (2010).
2. S. H. Simpson and S. Hanna, "Optical angular momentum transfer by Laguerre-Gaussian beams," J. Opt. Soc. Am. A 26, 625-638 (2009).
3. S. H. Simpson and S. Hanna, "Optical trapping of spheroidal particles in Gaussian beams," J. Opt. Soc. Am. A 24, 430-443 (2007). (Pubitemid 46322450)
4. R. Agarwal, K. Ladavac, Y. Roichman, G. H. Yu, C. M. Lieber, and D. G. Grier, "Manipulation and assembly of nanowires with holographic optical traps," Opt. Express 13, 8906-8912 (2005). (Pubitemid 41541323)
5. L. Ikin, D. M. Carberry, G. M. Gibson, M. J. Padgett, and M. J. Miles, "Assembly and force measurement with SPM-like probes in holographic optical tweezers," New J. Phys. 11, 023012 (2009).
6. V. Bingelyte, J. Leach, J. Courtial, and M. J. Padgett, "Optically controlled three-dimensional rotation of microscopic objects," Appl. Phys. Lett. 82, 829-831 (2003).
7. F. Hörner, M. Woerdemann, S. Müller, B. Maier, and C. Denz, "Full 3d translational and rotational optical control of multiple rod-shaped bacteria," J. Biophotonics 3, 468-475 (2010).
8. C. Song, N.-T. Nguyen, and A. K. Asundi, "Optical alignment of a cylindrical object," J. Opt. A Pure Appl. Opt. 11, 034008 (2009).
9. L. Ling, F. Zhou, L. Huang, and Z.-Y. Li, "Optical forces on arbitrary shaped particles in optical tweezers," J. Appl. Phys. 108, 073110 (2010).
10. D. B. Phillips, D. M. Carberry, S. H. Simpson, H. Schäfer, M. Steinhart, R. Bowman, G. M. Gibson, M. J. Padgett, S. Hanna, and M. J. Miles, "Optimizing the optical trapping stiffness of holographically trapped microrods using high-speed video tracking," J. Optics 13, 044023 (2011).
11. E. H. Hauge and A. Martin-Löf, "Fluctuating hydrodynamics and Brownian motion," J. Stat. Phys. 7, 259-281 (1973).
12. S. H. Simpson and S. Hanna, "Thermal motion of a holographically trapped SPM-like probe," Nanotechnology 20, 395710 (2009).
13. S. H. Simpson and S. Hanna, "First-order nonconservative motion of optically trapped nonspherical particles," Phys. Rev. E 82, 031141 (2010).
14. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics: with Special Applications to Particulate Media, 2nd ed. (Noordhoff International, 1973).
15. D. C. Benito, S. H. Simpson, and S. Hanna, "FDTD simulations of forces on particles during holographic assembly," Opt. Express 16, 2942-2957 (2008). (Pubitemid 351342514)
16. J.-Q. Qin, X.-L. Wang, D. Jia, J. Chen, Y.-X. Fan, J. Ding, and H.-T. Wang, "FDTD approach to optical forces of tightly focused vector beams on metal particles," Opt. Express 17, 8407-8416 (2009).
17. A. Taflove, ed., Advances in Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, 1998).
18. T. A. Nieminen, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Calculation and optical measurement of laser trapping forces on non-spherical particles," J. Quant. Spectrosc. Radiat. Transfer 70, 627-637 (2001). (Pubitemid 32668029)
19. T. A. Nieminen, H. Rubinsztein-Dunlop, N. R. Heckenberg, and A. I. Bishop, "Numerical modelling of optical trapping," Comput. Phys. Commun. 142, 468-471 (2001). (Pubitemid 33142566)
20. T. A. Nieminen, V. L. Y. Loke, A. B. Stilgoe, G. Knoener, A. M. Branczyk, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Optical tweezers computational toolbox," J. Opt. A Pure Appl. Opt. 9, S196-S203 (2007). (Pubitemid 47411247)
21. S. H. Simpson and S. Hanna, "Numerical calculation of interparticle forces arising in association with holographic assembly," J. Opt. Soc. Am. A 23, 1419-1431 (2006).
22. S. H. Simpson, D. C. Benito, and S. Hanna, "Polarization-induced torque in optical traps," Phys. Rev. A 76, 043408 (2007).
23. N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, "Towards absolute calibration of optical tweezers," Phys. Rev. E 75, 021914 (2007).
24. P. C. Chaumet, A. Rahmani, A. Sentenac, and G. W. Bryant, "Efficient computation of optical forces with the coupled dipole method," Phys. Rev. E 72, 046708 (2005).
25. P. C. Chaumet and C. Billaudeau, "Coupled dipole method to compute optical torque: application to a micropropeller," J. Appl. Phys. 101, 023106 (2007).
26. B. T. Draine, "The discrete-dipole approximation and its application to interstellar graphite grains," Astrophys. J. 333, 848-872 (1988).
27. B. T. Draine and P. J. Flatau, "Discrete-dipole approximation for scattering calculations," J. Opt. Soc. Am. A 11, 1491-1499 (1994).
28. A. Greenbaum, Iterative Methods for Solving Linear Systems (SIAM, 1997).
29. R. W. Freund, "Conjugate gradient-type methods for linearsystems with complex symmetrical coefficient matrices," SIAM J. Sci. Statist. Comput. 13, 425-448 (1992).
30. J. J. Goodman, B. T. Draine, and P. J. Flatau, "Application of fast Fourier transform techniques to the discrete-dipole approximation," Opt. Lett. 16, 1198-1200 (1991).
31. M. Frigo and S. G. Johnson, "The design and implementation of FFTW3," Proc. IEEE 93, 216-231 (2005). (Pubitemid 40851223)
32. C. J. R. Sheppard and S. Saghafi, "Electromagnetic Gaussian beams beyond the paraxial approximation," J. Opt. Soc. Am. A 16, 1381-1386 (1999). (Pubitemid 129655430)
33. A. L. Cullen and P. K. Yu, "Complex source-point theory of the electromagnetic open resonator," Proc. R. Soc. London Series A 366, 155-171 (1979). (Pubitemid 9456687)
34. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Programming (Cambridge Univ. Press, 2007), 3rd ed.
35. J. M. Garcia Bernal and J. G. Garcia de la Torre, " Transportproperties and hydrodynamic centers of rigid macromolecules with arbitrary shapes," Biopolymers 19, 751-766 (1980).
36. B. Carrasco and J. Garcia de la Torre, "Hydrodynamic properties of rigid particles: comparison of different modeling and computational procedures," Biophys. J. 76, 3044-3057 (1999). (Pubitemid 29269452)
37. J. Rotne and S. Prager, "Variational treatment of hydrodynamic interactions in polymers," J. Chem. Phys. 50, 4831-4837 (1969).
38. L. S. Blackford, J. Choi, A. Cleary, E. D'Azevedo, J. Demmel, I. Dhillon, J. Dongarra, S. Hammarling, G. Henry, A. Petitet, K. Stanley, D. Walker, and R. C. Whaley, ScaLAPACK Users Guide (SIAM, 1997).
39. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford Univ. Press, 1986).
40. F. Perrin, "Mouvement Brownien d'un ellipsoide-I. Dispersion diélectrique pour des molécules ellipsoidales," J. Phys. Radium 5, 497-511 (1934).
41. V. A. Bloomfield, "Survey of biomolecular hydrodynamics," in Biophysics Textbook Online, Separations and Hydrodynamics, T. M. Schuster, ed. (Biophysical Society, 2000), Chap. 1, pp. 1-16.
42. A. B. Stilgoe, T. A. Nieminen, G. Knoner, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "The effect of Mie resonances on trapping in optical tweezers," Opt. Express 16, 15039-15051 (2008).
43. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light, 7th ed. (Cambridge Univ. Press, 1999).