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Accurate measurement method of Fabry-Perot cavity parameters via optical transfer function
François Bondu1, Olivier Debieu
1Astrophysique Relativiste, Théorie, Expérience, Métrologie, Instrumentation, UMR 6162, CNRS, Cedex, France. bondu@obs-nice.fr
Applied Optics
|April 21, 2007
Summary
This study demonstrates using frequency noise analysis of Pound-Drever-Hall signals in Fabry-Perot cavities to precisely measure key optical parameters. This method accurately quantifies cavity length, linewidth, mirror curvature, and various optical mismatches.
Area of Science:
- Optical physics
- Cavity quantum electrodynamics
- Precision measurement
Background:
- Fabry-Perot cavities are fundamental optical resonators used in various scientific applications.
- Precise characterization of these cavities is crucial for optimal performance.
- Existing methods for cavity characterization can be complex or limited in scope.
Purpose of the Study:
- To present a novel method for comprehensive Fabry-Perot cavity characterization.
- To utilize the transfer function from frequency noise to the Pound-Drever-Hall signal for measurements.
- To demonstrate the versatility of this technique for multiple cavity parameter estimations.
Main Methods:
- Analysis of the transfer function relating frequency noise to the Pound-Drever-Hall (PDH) signal.
- Application of the PDH technique to a Fabry-Perot cavity.
- Systematic measurement of cavity length, linewidth, mirror curvature, misalignments, beam shape mismatch, and impedance mismatch.
Main Results:
- Accurate measurement of Fabry-Perot cavity length and linewidth.
- Quantification of mirror curvature and optical misalignments.
- Detection and measurement of laser beam shape mismatching.
- Assessment of cavity impedance mismatching relative to vacuum.
Conclusions:
- The transfer function of frequency noise to the PDH signal provides a powerful tool for detailed cavity metrology.
- This method offers a unified approach to measure diverse optical and geometric properties of Fabry-Perot cavities.
- The technique enhances the precision and efficiency of optical resonator characterization.

