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In our previous work, we compared the performance of the extended Kalman filter (EKF), unscented Kalman filter (UKF), and particle filter (PF) for the angle-only filtering (AOF) problem in 3D using Cartesian coordinates and modified spherical coordinates (MSC) for the relative state vector. We found that the UKF-MSC and EKF-MSC had the best performance in accuracy, the UKF-MSC being slightly better...
Thermal noise fundamentally limits the frequency stability of optical resonators used in optical clocks or to generate ultrapure microwaves by optical frequency division. We will give an overview of the relevant noise mechanisms, their calculation and discuss different current developments to reduce the noise. In one approach a cryogenic silicon resonator with very low thermal noise operated at a...
We demonstrate substrate-transferred crystalline coatings, based on epitaxial Bragg mirrors directly-bonded to fused silica, exhibiting an unprecedented tenfold reduction in Brownian noise. These mirrors promise a significant advancement in the performance of precision optical interferometers.
We describe recent experimental progress with the JILA Sr optical frequency standard, which has a systematic uncertainty at the 10-16 fractional frequency level. An upgraded laser system has recently been constructed in our lab which may allow the JILA Sr standard to reach the standard quantum measurement limit and achieve record levels of stability. To take full advantage of these improvements, it...
Thermal phase noise in optical interferometry can be compensated by exploiting coherence for underlying stochastic displacements and strains. The phase upon reflection from a fluctuating mirror's surface can thereby have reduced sensitivity to thermal noise.
It is difficult to filter an image while protecting its detail. In this paper, a novel filter is proposed for detail preserving restoration of images. Corrupted pixels are detected by a multi-scale way. For the corrupted pixels, we use a kind of four direction interleaved interpolation value to replace their value. The performance of the proposed operator is tested for different test images corrupted...
We measure the frequency fluctuations induced by thermal noise driven length fluctuations in a variety of rigid Fabry-Perot cavities. The results are in basic agreement with theoretical predictions [1].
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