Theory of optical tweezers

Europhysics Letters

Volumn 50, Issue 5, 2000, Pages 702-708

  Maia Neto, P A ^a   Nussenzveig, H M ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034195879     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2000-00327-4     Document Type: Article

References (17)

1. ASHKIN A., Proc. Natl. Acad. Sci. USA, 94 (1997) 4853, and references therein.
2. ASHKIN A., Biophys. J., 61 (1992) 569.
3. SVOBODA K. and BLOCK S. M., Annu. Rev. Biophys. Biomol. Struct., 23 (1994) 247.
4. RICHARDS B. and WOLF E., Proc. R. Soc. London, Ser. A, 253 (1959) 358.
5. BOHREN C. F. and HUFFMAN D. R., Absorption and Scattering of Light by Small Particles (Wiley, New York) 1983.
6. EDMONDS A. R., Angular Momentum in Quantum Mechanics (Princeton University Press) 1957.
7. NUSSENZVEIG H. M., Diffraction Effects in Semiclassical Scattering (Cambridge University Press) 1992.
8. NUSSENZVEIG H. M. and WISCOMBE W. J., Phys. Rev. Lett., 45 (1980) 1490.
9. The stationary-phase point (q = 0 is excluded) is at θ̄ = arcsin[(l + 1/2)/k\q\], as expected by the localization principle [7].
10. ROOSEN G., Can. J. Phys., 57 (1979) 1260.
11. The numerical integrations in eqs. (6) and (9) were performed with the help of a Kronrod-Patterson adaptative Gaussian-type quadrature method.
12. 0 = 2πc/w = 0.6328 μm). Since microscope objectives are corrected for the visible, spherical aberration is probably smaller than in experiments using infrared light [3].
13. The gradient force is overestimated in [2] as a consequence of neglecting the sine condition and the corresponding factor cos θ in eq. (9), which diminishes the contribution of rays at large angles. By the same reason, the stable equilibrium positions as predicted by (9) are further from the focus than the values obtained in [2].
14. m is not a monotonically increasing function of the sphere radius.
15. TLUSTY T. et al., Phys. Rev. Lett., 81 (1998) 1738.
16. eq into (12).
17. SASAKI K., TSUKIMA M. and MASUHARA H., Appl. Phys. Lett., 71 (1997) 37.