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A Silicon-tipped Fiber-optic Sensing Platform with High Resolution and Fast Response
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Phase-demodulation error of a fiber-optic Fabry-Perot sensor with complex reflection coefficients.

J M Kilpatrick1, W N MacPherson, J S Barton

  • 1Department of Physics, Heriot-Watt University, Edinburgh EH14 4AS, UK.

Applied Optics
|March 14, 2008
PubMed
Summary

Reflector losses in fiber optic Fabry-Perot (FFP) sensors can cause significant phase errors during demodulation. Neglecting reflected fringe asymmetry leads to inaccuracies, particularly in phase-stepped methods.

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Area of Science:

  • Optics and Photonics
  • Sensor Technology
  • Interferometry

Background:

  • Standard Fabry-Perot interferometer models often overlook reflector losses.
  • These losses can be a significant source of error in fiber optic Fabry-Perot (FFP) sensor applications.
  • Accurate phase demodulation is critical for reliable sensor performance.

Purpose of the Study:

  • To investigate the impact of reflector losses on FFP sensor accuracy.
  • To develop a general transfer function accounting for complex reflection coefficients.
  • To quantify systematic phase errors introduced by neglecting fringe asymmetry.

Main Methods:

  • Developed a general transfer function for FFP sensors incorporating complex reflection coefficients.
  • Modeled systematic phase errors arising from neglected reflected fringe asymmetry.
  • Measured the asymmetric response of metal-dielectric FFP sensors with varying finesse.

Main Results:

  • A model predicting systematic phase errors was developed.
  • Measured asymmetric responses corroborated the model's predictions.
  • A low-finesse FFP sensor (R=0.05) with 25% internal reflector losses showed a 0.06 rad phase error in three-step demodulation.

Conclusions:

  • Reflector losses are a critical, often overlooked, factor in FFP sensor accuracy.
  • The developed model accurately predicts phase errors due to fringe asymmetry.
  • Accurate FFP sensor demodulation requires considering complex reflection coefficients and reflector losses.