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High Speed Sub-GHz Spectrometer for Brillouin Scattering Analysis

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Published on: December 22, 2015

Improving optical bench radius measurements using stage error motion data.

Tony L Schmitz¹, Neil Gardner, Matthew Vaughn

¹Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, Florida 32611, USA.

|December 24, 2008

Summary

This summary is machine-generated.

This study introduces a novel vector-based radius approach for optical measurements, correcting for stage motion errors. This method improves accuracy over traditional techniques by accounting for biases in radius determination.

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Area of Science:

Optical metrology
Precision engineering
Measurement science

Background:

Traditional optical radius measurements are susceptible to biases from imperfect stage motions.
Existing methods often use only displacement between null positions, neglecting stage errors.

Purpose of the Study:

To present a vector-based radius approach for optical bench measurements.
To intrinsically correct for measurement biases caused by stage errors and misalignment.

Main Methods:

Defined radius using vector equations and homogeneous transformation matrices.
Measured stage error motions and incorporated them into the analysis.
Determined radius of curvature for a spherical artifact.

Main Results:

The vector-based approach intrinsically corrects for biases like straightness errors and cosine misalignment.
Demonstrated improved accuracy compared to traditional radius computation and mechanical measurement.
Quantified measurement uncertainty using Monte Carlo simulation.

Conclusions:

The vector-based radius approach offers a more accurate method for optical radius measurements.
This technique effectively compensates for systematic errors in stage motion.
Validated through comparison with established methods and uncertainty analysis.