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Related Experiment Video

Updated: Aug 5, 2025

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

A Novel Analog Interpolation Method for Heterodyne Laser Interferometer.

Chung-Ping Chang¹, Syuan-Cheng Chang², Yung-Cheng Wang²

¹Department of Mechanical and Energy Engineering, National Chiayi University, Chiayi 600, Taiwan.

|March 29, 2023

Summary

This study introduces a new analog interpolation method for laser interferometers, enhancing precision positioning stages. The novel approach, using a lock-in amplifier (LIA), achieves nanometer resolution without compromising speed.

Keywords:

heterodyne interpolation laser interferometer lock-in amplifier resolution

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Last Updated: Aug 5, 2025

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Area of Science:

Metrology
Optical Engineering
Instrumentation

Background:

Laser interferometers are crucial for precision positioning stages, often employing interpolation devices to enhance resolution.
Current digital interpolation methods limit the moving speed of positioning stages due to processing bandwidth constraints.
A trade-off exists between interpolation factor (resolution) and moving speed in conventional laser encoder systems.

Purpose of the Study:

To propose and validate a novel analog interpolation method for heterodyne laser interferometers.
To overcome the bandwidth limitations associated with digital interpolation in laser encoder systems.
To achieve ultra-high resolution in precision positioning stages independent of the interpolation factor.

Main Methods:

Development of a new analog interpolation technique based on the lock-in amplifier (LIA) principle.
Integration of the LIA-based method into a heterodyne laser interferometer system.
Experimental validation of the proposed method for precision positioning and high-speed measurements.

Main Results:

The proposed analog interpolation method achieves nanometer-level resolution.
The bandwidth of the laser encoder system is demonstrated to be independent of the interpolation factor.
Experimental results confirm the feasibility and effectiveness of the LIA-based approach.

Conclusions:

The novel analog interpolation method offers a significant advancement for ultra-high resolution laser encoder systems.
This technique eliminates the trade-off between resolution and moving speed, benefiting precision positioning applications.
The LIA-based approach provides a robust solution for high-performance laser interferometry.