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Spherical shock waveform reconstruction by heterodyne interferometry.

Carl R Hart1, Gregory W Lyons2, Michael J White3

  • 1U.S. Army Engineer Research Development Center, Cold Regions Research and Engineering Laboratory, Hanover, New Hampshire 03755, USA.

The Journal of the Acoustical Society of America
|January 29, 2024
PubMed
Summary
This summary is machine-generated.

A new method directly reconstructs shockwave refractive index fields from acousto-optic sensing data. This technique improves waveform accuracy compared to traditional Abel inversion, offering better shockwave analysis.

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Area of Science:

  • Physics
  • Optical Engineering
  • Acoustics

Background:

  • Acousto-optic sensing indirectly measures shock waveforms, requiring field reconstruction from projected data.
  • The Abel inversion integral transform is a common method for reconstruction, assuming spherical symmetry.
  • Heterodyne Mach-Zehnder interferometers, like laser Doppler vibrometers, measure optical phase difference time derivatives.

Purpose of the Study:

  • To develop a novel technique for directly reconstructing fluctuating refractive index fields from acousto-optic sensing data.
  • To compare the accuracy of the new direct reconstruction method against the Abel inversion integral transform.
  • To apply the direct reconstruction method to experimental data of laser-induced shockwaves.

Main Methods:

  • A direct reconstruction technique is derived by assuming local plane wave propagation for a probe beam.
  • The derived technique was validated using synthetic data and compared with the Abel inversion method.
  • The method was applied to experimental data from laser-induced shockwaves.

Main Results:

  • The direct reconstruction method achieved greater accuracy in time waveform reconstruction compared to Abel inversion.
  • The Abel inversion method showed inaccuracies in the waveform tail, corresponding to positions near a virtual origin.
  • Direct reconstruction eliminated the need for time integration, improving accuracy in peak values, rise times, and positive phase duration.

Conclusions:

  • Direct reconstruction of the fluctuating refractive index field offers superior accuracy for shock waveform analysis.
  • This method enhances the reliability of shockwave characterization, particularly for peak values and temporal features.
  • The technique provides a more accurate alternative to Abel inversion for acousto-optic sensing applications.