Abstract

Distances to multiple targets are measured simultaneously using a single femtosecond pulse laser split through a diffractive optical element. Pulse arrival from each target is detected by means of balanced cross-correlation of second harmonics generated using a PPKTP crystal. Time-of-flight of each returning pulse is counted by dual-comb interferometry with 0.01 ps timing resolution at a 2 kHz update rate. This multi-target ranging capability is demonstrated by performing multi-degree of freedom (m-DOF) sensing of a rigid-body motion simulating a satellite operating in orbit. This method is applicable to diverse terrestrial and space applications requiring concurrent multiple distance measurements with high precision.

Highlights

  • Multi-degree of freedom sensing of an object in 3-D space is intended to identify its location as well as orientation simultaneously with respect to a unified reference frame

  • Various sensors of diverse principles are available for the purpose, among which gravity-referenced inclinometers or gyroscopes are preferably used for angle measurements, while laser interferometers or optical time-offlight instruments are well suited for distance measurements in free space

  • Parallel determination of absolute distances to multiple targets was demonstrated by time-offlight measurement using femtosecond light pulses

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Summary

Introduction

Multi-degree of freedom (multi-DOF) sensing of an object in 3-D space is intended to identify its location as well as orientation simultaneously with respect to a unified reference frame. Quite a few advanced interferometric techniques have been demonstrated; radio-frequency synthetic wavelength interferometry [14,15], pulse to pulse cross-correlation [16], dispersive interferometry [17], dual-comb multi-heterodyne interferometry [18,19,20], multi-wavelength interferometry [21,22,23] and time-of-flight measurement using nonlinear optical crosscorrelation [24,25] These techniques pursue the common aim to achieve the sub-wavelength precision in long-distance ranging by making use of unique time and/or frequency domain characteristics of femtosecond lasers. An uncertainty analysis is conducted to systematically validate the achieved measurement accuracy in consideration of major error sources involved in the measurement

Measurement method
Performance evaluation
Multi-DOF sensing
Uncertainty evaluation for absolute distance measurement
Conclusions
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