High-Q enhancement of attractive and repulsive optical forces between coupled whispering-gallery- mode resonators.

We have calculated the optically-induced force between coupled high-Q whispering gallery modes of microsphere resonators. Attractive and repulsive forces are found, depending whether the bi-sphere mode is symmetric or antisymmetric. The magnitude of the force is linearly proportional to the total power in the spheres and consequently linearly enhanced by Q. Forces on the order of 100 nN are found for Q=108, large enough to cause displacements in the range of 1mum when the sphere is attached to a fiber stem with spring constant 0.004 N/m.

[1]  B. R. Johnson,et al.  Theory of morphology-dependent resonances : shape resonances and width formulas , 1993 .

[2]  Young,et al.  Time-independent perturbation for leaking electromagnetic modes in open systems with application to resonances in microdroplets. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[3]  T. Gabrielson.  Mechanical-thermal noise in micromachined acoustic and vibration sensors , 1993 .

[4]  J. Knight,et al.  Phase-matched excitation of whispering-gallery-mode resonances by a fiber taper. , 1997, Optics letters.

[5]  K. Vahala,et al.  Ultralow-threshold Raman laser using a spherical dielectric microcavity , 2002, Nature.

[6]  V S Ilchenko,et al.  Frequency tuning of the whispering-gallery modes of silica microspheres for cavity quantum electrodynamics and spectroscopy. , 2001, Optics letters.

[7]  Vladimir S. Ilchenko,et al.  Optical microsphere resonators: optimal coupling to high-Q whispering-gallery modes , 1999 .

[8]  Vladimir S. Ilchenko,et al.  Quality-factor and nonlinear properties of optical Whispering-Gallery modes , 1989 .

[9]  Jean-Michel Raimond,et al.  Very high-Q whispering-gallery mode resonances observed on fused silica microspheres , 1993 .

[10]  Russian Federation,et al.  On the ultimate sensitivity in coordinate measurements , 1993 .

[11]  John D. Love,et al.  Evanescent wave coupling of whispering gallery modes of a dielectric cylinder , 1993 .

[12]  Wei-Ping Huang.  Coupled-mode theory for optical waveguides: an overview , 1994 .

[13]  Ping Sheng,et al.  Strong optical force induced by morphology-dependent resonances. , 2005, Optics letters.

[14]  L. Prokhorov,et al.  Variation of electric charge on prototype of fused silica test mass of gravitational wave antenna , 2002 .

[15]  K. Vahala,et al.  Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics. , 2003, Physical review letters.

[16]  Qianfan Xu,et al.  Guiding and confining light in void nanostructure. , 2004, Optics letters.

[17]  David D. Smith,et al.  Whispering-gallery mode splitting in coupled microresonators , 2003 .

[18]  H. Mabuchi,et al.  High-Q measurements of fused-silica microspheres in the near infrared. , 1998, Optics letters.

[19]  Steven G. Johnson,et al.  Slow-light enhancement of radiation pressure in an omnidirectional-reflector waveguide , 2004 .

[20]  Hiroshi Miyazaki,et al.  Ab initio tight-binding description of morphology-dependent resonance in a bisphere , 2000 .