Chaotic quivering of micron-scaled on-chip resonators excited by centrifugal optical pressure

被引:157
作者
Carmon, Tal [1 ]
Cross, M. C. [1 ]
Vahala, Kerry J. [1 ]
机构
[1] CALTECH, Pasadena, CA 91125 USA
关键词
D O I
10.1103/PhysRevLett.98.167203
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Opto-mechanical chaotic oscillation of an on-chip resonator is excited by the radiation-pressure nonlinearity. Continuous optical input, with no external feedback or modulation, excites chaotic vibrations in very different geometries of the cavity (both tori and spheres) and shows that opto-mechanical chaotic oscillations are an intrinsic property of optical microcavities. Measured phenomena include period doubling, a spectral continuum, aperiodic oscillations, and complex trajectories. The rate of exponential divergence from a perturbed initial condition (Lyapunov exponent) is calculated. Continuous improvements in cavities mean that such chaotic oscillations can be expected in the future with many other platforms, geometries, and frequency spans.
引用
收藏
页数:4
相关论文
共 27 条
[1]  
ABARBANEL HDI, 1993, INTRO NONLINEAR DYNA, pR8
[2]   ON THE ULTIMATE SENSITIVITY IN COORDINATE MEASUREMENTS [J].
BRAGINSKY, VB ;
GORODETSKY, ML ;
ILCHENKO, VS ;
VYATCHANIN, SP .
PHYSICS LETTERS A, 1993, 179 (4-5) :244-248
[3]   Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system [J].
Cai, M ;
Painter, O ;
Vahala, KJ .
PHYSICAL REVIEW LETTERS, 2000, 85 (01) :74-77
[4]   Temporal behavior of radiation-pressure-induced vibrations of an optical microcavity phonon mode [J].
Carmon, T ;
Rokhsari, H ;
Yang, L ;
Kippenberg, TJ ;
Vahala, KJ .
PHYSICAL REVIEW LETTERS, 2005, 94 (22)
[5]   Modal spectroscopy of optoexcited vibrations of a micron-scale on-chip resonator at greater than 1 GHz frequency [J].
Carmon, Tal ;
Vahala, Kerry J. .
PHYSICAL REVIEW LETTERS, 2007, 98 (12)
[6]   Cooling of a mirror by radiation pressure [J].
Cohadon, PF ;
Heidmann, A ;
Pinard, M .
PHYSICAL REVIEW LETTERS, 1999, 83 (16) :3174-3177
[7]   OPTICAL BISTABILITY AND MIRROR CONFINEMENT INDUCED BY RADIATION PRESSURE [J].
DORSEL, A ;
MCCULLEN, JD ;
MEYSTRE, P ;
VIGNES, E ;
WALTHER, H .
PHYSICAL REVIEW LETTERS, 1983, 51 (17) :1550-1553
[8]   UNIVERSAL METRIC PROPERTIES OF NON-LINEAR TRANSFORMATIONS [J].
FEIGENBAUM, MJ .
JOURNAL OF STATISTICAL PHYSICS, 1979, 21 (06) :669-706
[9]   OBSERVATION OF CHAOS IN OPTICAL BISTABILITY [J].
GIBBS, HM ;
HOPF, FA ;
KAPLAN, DL ;
SHOEMAKER, RL .
PHYSICAL REVIEW LETTERS, 1981, 46 (07) :474-477
[10]   POWER SPECTRA OF STRANGE ATTRACTORS [J].
HUBERMAN, BA ;
ZISOOK, AB .
PHYSICAL REVIEW LETTERS, 1981, 46 (10) :626-628