On optical forces in spherical whispering gallery mode resonators

Optics Express

Volumn 19, Issue 22, 2011, Pages 22337-22349

  Rubin, J T ^a,b   Deych, L ^a,b  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY MODE; MAXWELL STRESS TENSORS; OPTICAL CAVITIES; OPTICAL FORCE; POLARIZABLE DIPOLES; WHISPERING GALLERY MODE RESONATOR;

EID: 80054916401     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.022337     Document Type: Article

References (30)

1. A. Ashkin, "Acceleration and trapping of particles by radiation pressure", Phys. Rev. Lett. 24, 156-159 (1970).
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, 288-290 (1986). (Pubitemid 16117701)
3. G. Anetsberger, O. Arcizet, Q. P. Unterreithmeier, R. Riviere, A. Schliesser, E. M. Weig, J. P. Kotthaus, and T. J. Kippenberg, "Near-field cavity optomechanics with nanomechanical oscillators", Nat. Phys. 5, 909-914 (2009).
4. A. Schliesser, O. Arcizet, R. Riviere, G. Anetsberger, and T. J. Kippenberg, "Resolved-sideband cooling and position measurement of a micromechanical oscillator close to the heisenberg uncertainty limit", Nat. Phys. 5, 509-514 (2009).
5. A. Schliesser, R. Riviere, G. Anetsberger, O. Arcizet, and T. J. Kippenberg, "Resolved-sideband cooling of a micromechanical oscillator", Nat. Phys. 4, 415-419 (2008).
6. S. Groeblacher, K. Hammerer, M. R. Vanner, and M. Aspelmeyer, "Observation of strong coupling between a micromechanical resonator and an optical cavity field", Nature 460, 724-727 (2009).
7. O. Arcizet, C. Molinelli, T. Briant, P.-F. Cohadon, A. Heidmann, J.-M. Mackowski, C. Michel, L. Pinard, O. Francais, and L. Rousseau, "Experimental optomechanics with silicon micromirrors", N. J. Phys. 10, 125021 (2008).
8. A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, "Dispersive optomechanics: a membrane inside a cavity", N. J. Phys. 10, 095008 (2008).
9. D. J. Wilson, C. A. Regal, S. B. Papp, and H. J. Kimble, "Cavity optomechanics with stoichiometric sin films", Phys. Rev. Let. 103, 207204 (2009).
10. D. E. Chang, C. A. Regal, S. B. Papp, D. J. Wilson, J. Ye, O. Painter, H. J. Kimble, and P. Zoller, "Cavity opto-mechanics using an optically levitated nanosphere", Proc. Natl. Acad. Sci. U. S. A. 107, 1005-1010 (2010).
11. O. Romero-Isart, and M. L. Juan, and R. Quidant, and J. I. Cirac, "Toward quantum superposition of living organisms", N. J. Phys. 12, 033015 (2010).
12. P. F. Barker and M. N. Shneider, "Cavity cooling of an optically trapped nanoparticle", Phys. Rev. A 81, 023826 (2010).
13. O. Romero-Isart, A. C. Pflanzer, M. L. Juan, R. Quidant, N. Kiesel, M. Aspelmeyer, and J. I. Cirac, "Optically levitating dielectrics in the quantum regime: theory and protocols", Phys. Rev. A 83, 013803 (2011).
14. Z.-q. Yin, T. Li, and M. Feng, "Three-dimensional cooling and detection of a nanosphere with a single cavity", Phys. Rev. A 83, 013816 (2011).
15. T. Li, S. Kheifets, and M. G. Raizen, "Millikelvin cooling of an optically trapped microsphere in vacuum", Nat. Phys. 7, 527-530 (2011).
16. T. J. Kippenberg and K. J. Vahala, "Cavity optomechanics: Back-action at the mesoscale", Science 321, 1172-1176 (2008).
17. A. Schliesser and T. J. Kippenberg, "Cavity optomechanics with whispering-gallery mode optical microresonators", Adv. At. Mol. Opt. Phys. 58, 207-323 (2010).
18. V. Braginsky and A. Manukin, Measurment of Weak Forces in Physics Experiments (University of Chicago Press, 1977).
19. R. J. Schulze, C. Genes, and H. Ritsch, "Optomechanical approach to cooling of small polarizable particles in a strongly pumped ring cavity", Phys. Rev. A 81, 063820 (2010).
20. M. Nieto-Vesperinas, P. Chaumet, and A. Rahmani, "Near-field photonic forces", Phil. Trans. R. Soc. Lond. A 362, 719-737 (2004). (Pubitemid 38430593)
21. J. Rubin and L. Deych, "Optical forces due to spherical microresonators and their manifestation in optically induced orbital motion of nanoparticles", Phys. Rev. A 84, 023844 (2011).
22. S. Arnold, D. Keng, S. I. Shopova, S. Holler, W. Zurawsky, and F. Vollmer, "Whispering gallery mode carousel-a photonic mechanism for enhanced nanoparticle detection in biosensing", Opt. Express 17, 6230-6238 (2009).
23. L. Landau, E. Lifshitz, and L. Pitaevskiǐ, Electrodynamics of continuous media, Course of theoretical physics (Butterworth-Heinemann, 1984).
24. V. Wong and M. A. Ratner, "Explicit computation of gradient and nongradient contributions to optical forces in the discrete-dipole approximation", J. Opt. Soc. Am. B 23, 1801-1814 (2006). (Pubitemid 44541679)
25. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge University Press, 2002).
26. L. Deych and J. Rubin, "Rayleigh scattering of whispering gallery modes of microspheres due to a single dipole scatterer", Phys. Rev. A 80, 061805 (2009).
27. J. T. Rubin and L. Deych, "Ab initio theory of defect scattering in spherical whispering-gallery-mode resonators", Phys. Rev. A 81, 053827 (2010).
28. J. Hu, S. Lin, L. C. Kimerling, and K. Crozier, "Optical trapping of dielectric nanoparticles in resonant cavities", Phys. Rev. A 82, 053819 (2010).
29. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (National Bureau of Standards, 1972).
30. J. Chen, J. Ng, S. Liu, and Z. Lin, "Analytical calculation of axial optical force on a rayleigh particle illuminated by gaussian beams beyond the paraxial approximation", Phys. Rev. E 80, 026607 (2010).