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Rigid piston approximation for computing the transfer function and angular response of a fiber-optic hydrophone.

J F Krückler1, A Eisenberg, M Krix

  • 1Professur für experimentelle Ultraschalldiagnostik, Medizinische Einrichtungen der Universität Bonn, Germany.

The Journal of the Acoustical Society of America
|May 2, 2000
PubMed
Summary

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This study analyzes the transfer function of fiber-optic hydrophones (FOHs), revealing frequency-dependent angular responses. Results aid in deconvoluting ultrasonic signals and understanding FOH behavior across various frequencies.

Area of Science:

  • Acoustics
  • Optical Engineering
  • Signal Processing

Background:

  • Fiber-optic hydrophones (FOHs) are crucial for underwater acoustic measurements.
  • Accurate modeling of FOH transfer functions is essential for precise signal interpretation.

Purpose of the Study:

  • To compute and analyze the transfer function of FOHs for varying fiber core radii.
  • To investigate the frequency and angular dependency of FOH performance.

Main Methods:

  • Modeling the FOH as a rigid disk subjected to plane wave incidence.
  • Approximating the diffracted sound field using a vibrating planar piston model.
  • Employing analytical solutions for normal incidence and numerical computations for oblique incidence and finite core radii.

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Main Results:

  • Transfer functions exhibit oscillatory frequency dependencies, particularly for smaller fiber cores.
  • An analytical solution for a pointlike core approximates results for a 2.5 micrometer core up to 30 MHz.
  • Angular responses differ from piezoelectric hydrophone models, with frequency-dependent effective radii.

Conclusions:

  • The computed transfer functions are applicable for deconvoluting ultrasonic pressure signals.
  • The derived angular response characteristics provide new insights into FOH directional sensitivity.
  • Effective hydrophone radius shows significant frequency dependence, impacting low and high-frequency performance.