Computational modelling of optical tweezers

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5514, Issue , 2004, Pages 514-523

  Nieminen, Timo A ^a   Heckenberg, Norman R ^a   Rubinsztein Dunlop, Halina ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Laser trapping; Light scattering; Optical tweezers; T matrix

Indexed keywords

APPROXIMATION THEORY; BROWNIAN MOVEMENT; COMPUTER SIMULATION; FOCUSING; LASER BEAMS; LIGHT SCATTERING; MATRIX ALGEBRA; MAXWELL EQUATIONS; PARAMETER ESTIMATION; RAYLEIGH SCATTERING; REYNOLDS NUMBER;

LASER TRAPPING; OPTICAL TRAPS; OPTICAL TWEEZERS; T-MATRIX;

OPTICAL INSTRUMENTS;

EID: 13244259233     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.557090     Document Type: Conference Paper

References (39)

1. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, "Observation of a single-beam gradient force optical trap for dielectric particles," Optics Letters 11, pp. 288-290, 1986.
2. A. I. Bishop, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Optical application and measurement of torque on microparticles of isotropic nonabsorbing material," Physical Review A 68, p. 033802, 2003.
3. S. Bayoudh, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Orientation of biological cells using plane polarised Gaussian beam optical tweezers," Journal of Modern Optics 50(10), pp. 1581-1590, 2003.
4. D. A. White, "Vector finite element modeling of optical tweezers," Computer Physics Communications 128, pp. 558-564, 2000.
5. D. A. White, "Numerical modeling of optical gradient traps using the vector finite element method," Journal of Computational Physics 159, pp. 13-37, 2000.
6. W. L. Collett, C. A. Ventrice, and S. M. Mahajan, "Electromagnetic wave technique to determine radiation torque on micromachines driven by light," Applied Physics Letters 82, pp. 2730-2732, 2003.
7. A. G. Hoekstra, M. Frijlink, L. B. F. M. Waters, and P. M. A. Sloot, "Radiation forces in the discrete-dipole approximation," Journal of the Optical Society of America A 18, pp. 1944-1953, 2001.
8. L. Lorenz, "Lysbevægelsen i og uden for en af plane Lysbølger belyst Kugle," Videnskabernes Selskabs Skrifter 6, pp. 2-62, 1890.
9. G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen," Annalen der Physik 25(3), pp. 377-445, 1908.
10. K. F. Ren, G. Gréhan, and G. Gouesbet, "Prediction of reverse radiation pressure by generalized Lorenz-Mie theory," Applied Optics 35, pp. 2702-2710, 1996.
11. T. Wohland, A. Rosin, and E. H. K. Stelzer, "Theoretical determination of the influence of the polarization on forces exerted by optical tweezers," Optik 102, pp. 181-190, 1996.
12. P. A. Maia Neto and H. M. Nussenzweig, "Theory of optical tweezers," Europhysics Letters 50, pp. 702-708, 2000.
13. A. Mazolli, P. A. Maia Neto, and H. M. Nussenzveig, "Theory of trapping forces in optical tweezers," Proceedings of the Royal Society of London A 459, pp. 3021-3041, 2003.
14. J. A. Lock, "Calculation of the radiation trapping force for laser tweezers by use of generalized Lorenz-Mie theory. I. Localized model description of an on-axis tightly focused laser beam with spherical aberration," Applied Optics 43, pp. 2532-2544, 2004.
15. J. A. Lock, "Calculation of the radiation trapping force for laser tweezers by use of generalized Lorenz-Mie theory. II. On-axis trapping force," Applied Optics 43, pp. 2545-2554, 2004.
16. Y. Han and Z. Wu, "Scattering of a spheroidal particle illuminated by a Gaussian beam," Applied Optics 40, pp. 2501-2509, 2001.
17. Y. Han, G. Gréhan, and G. Gouesbet; "Generalized Lorenz-Mie theory for a spheroidal particle with off-axis Gaussian-beam illumination, " Applied Optics 42, pp. 6621-6629, 2003.
18. F. M. Kahnert, "Numerical methods in electromagnetic scattering theory," Journal of Quantitative Spectroscopy and Radiative Transfer 79-80, pp. 775-824, 2003.
19. M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, eds., Light scattering by nonspherical particles: theory, measurements, and applications, Academic Press, San Diego, 2000.
20. P. C. Waterman, "Symmetry, unitarity, and geometry in electromagnetic scattering," Physical Review D 3, pp. 825-839, 1971.
21. M. I. Mishchenko, "Light scattering by randomly oriented axially symmetric particles," Journal of the Optical Society of America A 8, pp. 871-882, 1991.
22. J. D. Jackson, Classical Electrodynamics, John Wiley, New York, 3rd ed., 1999.
23. T. A. Nieminen, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Multipole expansion of strongly focussed laser beams," Journal of Quantitative Spectroscopy and Radiative Transfer 79-80, pp. 1005-1017, 2003.
24. G. Gouesbet, J. A. Lock, and G. Gréhan, "Partial-wave representations of laser beams for use in light-scattering calculations," Applied Optics 34, pp. 2133-2143, 1995.
25. G. Gouesbet, "Exact description of arbitrary-shaped beams for use in light-scattering theories," Journal of the Optical Society of America A 13, pp. 2434-2440,. 1996.
26. G. Gouesbet, "Validity of the localized approximation for arbitrary shaped beams in the generalized Lorenz-Mie theory for spheres," Journal of the Optical Society of America A 16, pp. 1641-1650, 1999.
27. B. C. Brock, "Using vector spherical harmonics to compute antenna mutual impedance from measured or computed fields," Sandia report SAND2000-2217-Revised, Sandia National Laboratories, Albuquerque, New Mexico, USA, 2001.
28. G. Videen, "Light scattering from a sphere near a plane interface," in Light Scattering from Microstructures, F. Moreno and F. González, eds., Lecture Notes in Physics(534), ch. 5, pp. 81-96, Springer-Verlag, Berlin, 2000.
29. N. A. Gumerov and R. Duraiswami, "Recursions for the computation of multipole translation and rotation coefficients for the 3-D Helmholtz equation," SIAM Journal on Scientific Computing 25(4), pp. 1344-1381, 2003.
30. C. H. Choi, J. Ivanic, M. S. Gordon, and K. Ruedenberg, "Rapid and stable determination of rotation matrices between spherical harmonics by direct recursion," Journal of Chemical Physics 111, pp. 8825-8831, 1999.
31. A. Doicu and T. Wriedt, "Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions," Applied Optics 36, pp. 2971-2978, 1997.
32. J. H. Crichton and P. L. Marston, "The measurable distinction between the spin and orbital angular momenta of electromagnetic radiation, " Electronic Journal of Differential Equations Conf. 04, pp. 37-50, 2000.
33. Ø. Farsund and B. U. Felderhof, "Force, torque, and absorbed energy for a body of arbitrary shape and constitution in an electromagnetic radiation field," Physica A 227, pp. 108-130, 1996.
34. T. A. Nieminen, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Calculation of the T-matrix: general considerations and application of the point-matching method," Journal of Quantitative Spectroscopy and Radiative Transfer 79-80, pp. 1019-1029, 2003.
35. L. Gürel and W. C. Chew, "A recursive T-matrix algorithm for strips and patches," Radio Science 27, pp. 387-401, 1992.
36. D. W. Mackowski, "Discrete dipole moment method for calculation of the t matrix for nonspherical particles," Journal of the Optical Society of America A 19, pp. 881-893, 2002.
37. P. A. Martin, "On connections between boundary integral equations and t-matrix methods," Engineering Analysis with Boundary Elements 27, pp. 771-777, 2003.
38. http://www.t-matrix.de/.
39. http://www.giss.nasa.gov/~crmim/.