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Nonlinearities in Fringe-Counting Compact Michelson Interferometers.

Jiri Smetana1, Chiara Di Fronzo2, Anthony Amorosi2

  • 1Institute for Gravitational Wave Astronomy, School of Physics and Astronomy, University of Birmingham, Birmingham B15 2TT, UK.

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Summary
This summary is machine-generated.

This study analyzes the linearity of a compact displacement sensor for gravitational-wave detectors. Nonlinearities were identified and experimentally verified, showing minimal impact on sub-10 Hz sensitivity in Advanced LIGO suspensions.

Keywords:
Michelson interferometerdisplacement sensornonlinearity

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Area of Science:

  • Optics and instrumentation
  • Gravitational-wave detection

Background:

  • Compact Michelson interferometers offer potential replacement for current displacement sensors in seismometers and suspension systems.
  • Gravitational-wave detectors utilize such systems for precise measurements.

Purpose of the Study:

  • Investigate the linearity of a customized compact displacement sensor based on deep frequency modulation.
  • Assess the impact of sensor nonlinearities on measurement sensitivity.

Main Methods:

  • Theoretical modeling of nonlinearity sources: residual ellipticity, Lissajous figure distortion, and velocity limit exceedance.
  • Experimental verification of theoretical models.
  • Simulation of nonlinear effects in Advanced LIGO suspension readout.

Main Results:

  • Identified three primary sources of nonlinearity in the displacement sensor.
  • Demonstrated the detrimental impact of these nonlinearities on device sensitivity through experiments.
  • Simulations indicate nonlinear noise will not dominate in the critical sub-10 Hz band for Advanced LIGO.

Conclusions:

  • Nonlinear effects in compact displacement sensors are quantifiable and experimentally verifiable.
  • Despite nonlinearities, the sensor shows promise for gravitational-wave detector applications due to minimal impact on key frequency bands.