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Phase-based velocity extraction method for photonic Doppler velocimetry with potential higher time resolution.
Frank Jin1, Kate E Rodriguez1, Paulius Grivickas1
1Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA.
The Review of Scientific Instruments
|November 17, 2025
Summary
We extended the Takeda phase extraction method for photonic Doppler velocimetry. This new approach offers improved time resolution and reduced computation, benefiting high-throughput experiments.
Area of Science:
- Optics and Photonics
- Signal Processing
- Experimental Physics
Background:
- Heterodyne photonic Doppler velocimetry (PDV) is crucial for measuring high-speed phenomena.
- The short-time Fourier transform (STFT) is a common method for phase extraction in PDV but has limitations in time resolution.
- The Takeda et al. phase extraction method offers an alternative approach.
Purpose of the Study:
- To extend the Takeda phase extraction method for application in heterodyne photonic Doppler velocimetry.
- To compare the performance of the extended Takeda method with the STFT, focusing on time resolution and accuracy.
- To develop empirical equations for velocity error based on time resolution.
Main Methods:
- Extension of the Takeda phase extraction algorithm.
- Application to heterodyne photonic Doppler velocimetry data.
- Comparison with short-time Fourier transform (STFT) analysis.
- Derivation of empirical equations relating velocity error to time resolution.
Main Results:
- The extended Takeda method provides results comparable to STFT.
- The Takeda method offers potential improvements in time resolution.
- Uniform data utilization in the Takeda method allows direct correlation of velocity error with time resolution.
- Simulations and experiments confirm consistent velocity errors for a given time resolution across both methods.
Conclusions:
- The extended Takeda method is a valuable tool for heterodyne PDV.
- Its advantages include higher potential time resolution and reduced computational load.
- This makes it suitable for high-throughput applications like laser dynamic compression experiments.
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