Numerical Modeling of Optical Gradient Traps Using the Vector Finite Element Method

Journal of Computational Physics

Volumn 159, Issue 1, 2000, Pages 13-37

  White, Daniel A ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD;

3D OBJECT; CONDITION; DIELECTRIC OBJECTS; INCIDENT BEAMS; OBJECT SIZE; OPTICAL TRAPPINGS; OPTICAL-; TIGHTLY FOCUSED LASER BEAM; TRAPPING EFFICIENCIES; VECTOR FINITE ELEMENT METHODS;

LASER BEAMS;

EID: 0000642930     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6422     Document Type: Article

References (33)

1. Ashkin A. Acceleration and trapping of particles by radiation pressure. Phys. Rev. Lett. 24:1970;156.
2. Ashkin A., Dziedzic J. M. Optical levitation by radiation pressure. Appl. Phys. Lett. 19:1971;283.
3. Ashkin A., Dziedzic J. M., Bjorkholm E. J., Chu S. Observation of a single-beam gradient optical trap for dielectric particles. Opt. Lett. 11:1986;288.
4. Wright W. H., Sonek G. J., Berns M. W. Parametric study of the force on microspheres help by optical tweezers. Appl. Opt. 33:1994;1753.
5. D'Helon C., Dearden E. W., Rubenstein-Dunlop H., Heckenberg N. R. Measurement of the optical force and trapping range of a single-beam gradient optical trap for micron-sized latex spheres. J. Mod. Opt. 41:1994;595.
6. Omori R., Kobayashi T., Suzuki A. Observation of a single-beam gradient force optical trap for dielectric particles in air. Opt. Lett. 22:1997;816.
7. Buican T. N., Smith M. J., Crissman H. A., Salzman G. C., stewart C. C., Martin J. C. Automated single-cell manipulation and sorting by light trapping. Appl. Opt. 26:1987;5311.
8. Ashkin A., Dziedzic J. M., Yamane T. M. Optical trapping and manipulation of single cells using infrared laser beams. Nature. 330:1987;769.
9. Tadir Y., Wright W. H., Vafa O., Ord T., Asch R. H., Berns M. W. Micromanipulation of sperm by a laser generated optical trap. Fert. Ster. 57:1989;870.
10. Ashkin A., Dziedzic J. M. Optical trapping and manipulation of viruses abd bacteria. Science. 235:1987;1517.
11. Block S. M., Blair D. F., Berg H. C. Compliance of bacterial polyhooks measured with optical tweezers. Cytometry. 12:1991;492.
12. Ashkin A., Schultze K., Dziedzic J. M., Euteneur U., Schliwa M. Force generation of organelle transport measured in vivo by an infrared laser trap. Nature. 348:1990;346.
13. Kuo S. C., Sheetz M. P. Force of single kinesin molecules measured with optical tweezers. Science. 260:1993;232.
14. Block S., Goldstein L. S. B., Schnapp B. J. Using optical tweezers to investigate kinesin-based motility. J. Cell Bio. 109:1989;81a.
15. Ashkin A. Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime. Bio. J. 61:1992;569.
16. Gauthier R. C., Wallace S. Optical levitation of spheres: analytical development and numerical computations of the force equations. J. Opt. Soc. Am. B. 12:1995.
17. Gauthier R. C. Theoretical investigation of the optical trapping force and torque on cylindrical micro-objects. J. Opt. Soc. Am. B. 14:1997.
18. Barton J. P., Alexander D. R., Schaub S. A. Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam. J. Appl. Phys. 64:1988;1632.
19. Barton J. P., Alexander D. R., Schaub S. A. Theoretical determination of net radiation force and torge for a spherical particle illuminated by a focused laser beam. J. Appl. Phys. 66:1989;4594.
20. Barton J. P., Alexander D. R. Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam. J. Appl. Phys. 66:1989;2800.
21. Nedelec J. C. Mixed finite elements in R3. Numer. Math. 35:1980;315.
22. Monk P. A. comparison of three mixed methods for the time-dependent Maxwell's equations. SIAM J. Sci. Stat. Comput. 13:1992;1097.
23. Monk P. An analysis of Nedelec's method for the spatial discretization of Maxwell's equations. J. Comput. Appl. Math. 47:1993;101.
24. Monk P., Parrot A. A dispersion analysis of finite element methods for Maxwell's equations. SIAM J. Sci. Comput. 15:1994;916.
25. Warren G., Scott W. An investigation of numerical dispersion in the vector finite element method using quadrilateral elements. IEEE Trans. Ant. Prop. 42:1994;1502.
26. White D. Discrete Time Vector Finite Element Methods for Solving Maxwell's Equations on 3D Unstructured Grids. 1997.
27. Cendes Z. Vector finite elements for electromagnetic field calculations. IEEE Trans. Mag. 27:1991;3958.
28. Sun D., Magnes J., Yuan X., Cendes Z. Spurious modes in finite element methods. IEEE Ant. Prop. Mag. 37:1995;12.
29. D. A. White, Solution of capacitance systems using incomplete Cholesky fixed point iteration, submitted for publication.
30. Evans C. R., Hawley J. F. Simulation of magnetohydrodynamic flows: A constrained transport method. Astrophys. J. 332:1988;659.
31. Madsen N. K. Divergence preserving discrete surface integral methods for Maxwell's equations using non-orthogonal unstructured grids. J. Comput. Phys. 119:1995;34.
32. R. W. Ziolkowski, The design of maxwellian absorbers for numerical boundary conditions and for practical applications using engineered artificial materials, IEEE Trans. Ant. Prop. 45, 656.
33. Z. Sachs, D. Kingsland, R. Lee, and, J. Lee, A perfectly matched anisotropic absorber for use as an absorbing boundary condition, IEEE Trans. Ant. Prop. 43, 1460.