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Rapid parameter determination of discrete damped sinusoidal oscillations
Optics Express
|March 17, 2021
Summary
We developed computational methods for fast analysis of damped sinusoidal signals. Our findings show a speed-precision trade-off, enabling microsecond-resolved measurements in advanced optical experiments.
Area of Science:
- Physics
- Optical Science
- Signal Processing
Background:
- Damped sinusoidal signals are crucial in cavity-enhanced polarimetry and ellipsometry.
- Rapid and precise signal analysis is vital for developing new experimental techniques and portable instruments.
Purpose of the Study:
- To compare time- and frequency-domain computational methods for extracting signal parameters.
- To evaluate accuracy, precision, and computational speed for frequency estimation.
Main Methods:
- Comparison of time-domain and frequency-domain computational approaches.
- Analysis of discretely sampled damped sinusoidal signals.
- Experimental demonstration of a frequency-based analysis.
Main Results:
- A trade-off exists between precision and speed in signal analysis.
- Fractional uncertainties at the 10^-6 level are achievable for microsecond-resolved analysis.
- Frequency-based methods can analyze signals at kHz rates.
Conclusions:
- Online, microsecond-resolved analysis of polarimetric/ellipsometric measurements is feasible.
- Frequency-based analysis enables accurate detection of signal changes on microsecond timescales.
- The developed methods support advancements in dynamical effect studies and portable instrumentation.
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