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Optimization of air refractive index based on dispersive interferometry.
Optics Express
|November 14, 2024
Summary
The nonlinear objective refractivity optimization (NORO) method enhances air refractive index compensation, reducing spectral range needs and improving distance measurement accuracy without environmental sensors.
Area of Science:
- Optics and Photonics
- Metrology
- Geodesy
Background:
- The multi-color method for air refractive index compensation has limitations.
- Accurate air refractive index compensation is crucial for precise distance measurements.
Purpose of the Study:
- Introduce and evaluate the nonlinear objective refractivity optimization (NORO) method.
- Address the limitations of existing air refractive index compensation techniques.
- Enhance the precision and reduce the requirements for geometric distance measurements.
Main Methods:
- Utilized a nonlinear objective function and the Davidon-Fletcher-Powel (DFP) optimization algorithm.
- Developed the NORO method for self-corrected geometric distance calculation.
- Compared NORO performance against the multi-color method and an empirical formula.
Main Results:
- NORO significantly reduces the minimum usable spectral range from 600 nm to 40 nm.
- Achieved consistency within 2.5 ppm with the empirical formula using a 90 nm spectral range.
- Demonstrated long-term compensation stability (within 3 ppm over 4.5 hours) and high accuracy in long-distance measurements (within 1.89 × 10-7 m up to 12 m).
Conclusions:
- NORO offers a more efficient and accurate approach to air refractive index compensation.
- The method reduces reliance on extensive environmental sensing and broad spectral coverage.
- NORO provides precise, self-corrected geometric distance measurements with improved accuracy and reduced spectral requirements.
