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Analytical model for low finesse, external cavity, fiber Fabry-Perot interferometers including multiple reflections
Paul R Wilkinson1, Jon R Pratt
1NIST Physical Measurements Laboratory, Gaithersburg, Maryland 20899, USA. pwilkinson@nist.gov
Applied Optics
|August 12, 2011
Summary
This study models optical fiber Fabry-Perot interferometers, predicting interference attenuation and fringe asymmetry. Experimental results validate the analytical model for low finesse cavities.
Area of Science:
- Optics and Photonics
- Interferometry
- Fiber Optics
Background:
- Fabry-Perot interferometers are crucial optical devices.
- Understanding external cavity configurations is important for device optimization.
- Low finesse regimes present unique modeling challenges.
Purpose of the Study:
- To develop an analytical model for single-mode, multiply reflected, external cavity, optical fiber Fabry-Perot interferometers.
- To predict the behavior of these interferometers in the low finesse regime.
- To validate the model through experimental comparison.
Main Methods:
- Utilized simple geometry and the Gaussian beam approximation for the analytical model.
- Incorporated multiple reflection effects into the model.
- Constructed experimental fiber Fabry-Perot cavities using single-mode glass fibers and mirrors of varying reflectivity.
- Swept the cavity length to obtain experimental interferograms.
Main Results:
- The analytical model accurately predicts attenuation of peak-to-peak interference as the fiber-to-mirror distance approaches zero.
- The model also predicts fringe asymmetry when non-absorbing mirrors are used.
- Experimental interferograms showed good agreement with the model's predictions.
Conclusions:
- The developed analytical model provides a reliable framework for understanding external cavity optical fiber Fabry-Perot interferometers.
- The model's predictions regarding interference attenuation and fringe asymmetry are experimentally validated.
- This work contributes to the accurate design and analysis of fiber-optic sensing and measurement devices.

