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Related Experiment Video

Updated: Jan 25, 2026

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings

A Random-displacement Measurement by Combining a Magnetic Scale and Two Fiber Bragg Gratings

Published on: September 30, 2019

Fast method to detect and calculate displacement errors in a Littrow grating-based interferometer.

Qiang Lv, Zhaowu Liu, Wei Wang

|May 3, 2019

Summary

This summary is machine-generated.

A new method accurately calculates grating errors in precision displacement measurements. This fast, low-cost technique is crucial for enhancing grating interferometer accuracy.

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Last Updated: Jan 25, 2026

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Area of Science:

Metrology
Optical Engineering
Precision Measurement

Background:

Grating-based interferometers are vital for precision displacement measurements.
Grating surface and line errors significantly impact measurement accuracy, particularly in Littrow configurations.

Purpose of the Study:

To propose a fast and accurate method for calculating displacement errors in grating-based interferometers with Littrow configurations.
To address the impact of grating surface and line errors on measurement accuracy.

Main Methods:

Calculating displacement errors using diffracted wavefronts at the ±1st orders of the grating.
Employing a Littrow configuration for the grating-based interferometer.

Main Results:

The proposed method accurately calculates displacement errors caused by grating imperfections.
Experimental validation using a laser interferometer shows good agreement, with differences within 40 nm.

Conclusions:

The developed method is accurate, fast, and cost-effective.
This technique is significant for error compensation and improving the measurement accuracy of grating-based interferometers.