Using a combination of resist reflow to form a highly circular etch mask pattern and a low-damage plasma dry etch, high-quality-factor silicon optical microdisk resonators are fabricated out of silicon-on-insulator (SOI) wafers. Quality factors as high as Q = 5x10(6) are measured in these microresonators, corresponding to a propagation loss coefficient as small as alpha ~ 0.1 dB/cm. The differe...

Chaotic motions of a Rayleigh-Duffing oscillator with periodically external and parametric excitations are investigated rigorously. Chaos arising from intersections of homoclinic orbits is analyzed with the Melnikov method. The critical curves separating the chaotic and non-chaotic regions are obtained. The chaotic feature on the system parameters is discussed. Chaotic dynamics are also compare...

Eli Yablonovitch Rutger B. Vrijen University of California, Los Angeles Electrical Engineering Department Room 56-125B, Engineering IV Los Angeles, California 90095-1594 E-mail: [email protected] Abstract. Photographic media can be exposed by two-photon absorption, rather than the more usual one-photon absorption. This leads to the question of whether the simultaneous absorption of a pair of pho...

We demonstrate single-molecule fluorescence imaging beyond the optical diffraction limit in 3 dimensions with a wide-field microscope that exhibits a double-helix point spread function (DH-PSF). The DH-PSF design features high and uniform Fisher information and has 2 dominant lobes in the image plane whose angular orientation rotates with the axial (z) position of the emitter. Single fluorescen...

A method is presented for making finite Fourier mode truncations of the Rayleigh–Bénard convection system that preserve invariants of the full partial differential equations in the dissipationless limit. These truncations are shown to have no unbounded solutions and provide a description of the thermal flux that has the correct limiting behavior in a steady-state. A particular loworder truncati...

Boundary-layer theory is crucial in understanding why certain phenomena occur. We start by reviewing steady and unsteady separation from the viewpoint of classical non-interactive boundary-layer theory. Next, interactive boundary-layer theory is introduced in the context of unsteady separation. This discussion leads onto a consideration of largeReynolds-number asymptotic instability theory. We ...

A single very deep 10 0 eld has been imaged to r 26. There are 2682 galaxies with 23 r 26 with a size signiicantly larger than the seeing disk in the eld. After correcting for telescope aberrations, possible guiding errors, and signal degradation due to seeing, I nd a polarization signal of amplitude jpj = 2:7%, with an uncertainty of 1.2% (95% conndence limit). For the 1773 galaxies with 23 r ...