Data-driven optimal filtering for phase and frequency of noisy oscillations: Application to vortex flow metering

A method for measuring the phase of oscillations from noisy time series is proposed. To obtain the phase, the signal is filtered in such a way that the filter output has minimal relative variation in the amplitude over all filters with complex-valued impulse response. The argument of the filter output yields the phase. Implementation of the algorithm and interpretation of the result are discussed. We argue that the phase obtained by the proposed method has a low susceptibility to measurement noise and a low rate of artificial phase slips. The method is applied for the detection and classification of mode locking in vortex flow meters. A measure for the strength of mode locking is proposed.

FAST MODE SURFACE-PLASMON DAMPING ON TUNNEL JUNCTION STRUCTURES

Using a prism-air gap-sample (Otto) configuration we have optically excited surface plasmon polaritons at the Ag-air interface of passive Al-Al oxide-Ag tunnel junction structures at wavelength 632.8 nm. It is found that the internal damping of this excitation is more than a factor of 2 greater for samples with a very thin (approximately 15 nm) Ag electrode than for samples with a thicker (approximately 40 nm) Ag electrode. This observation is explained by the fact that the fields of the surface plasmon polariton penetrate more substantially into the lossy Al base electrode when the Ag top electrode is very thin.