the FIBER-OPTIC GYROSCOPE.

509 Pages·2022·32.258 MB·English

by  HERVE LEFE'VRE

The Fiber-Optic Gyroscope
Third Edition
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The Fiber-Optic Gyroscope
Third Edition
Hervé C. Lefèvre
artechhouse.com
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Library of Congress Cataloging-in-Publication Data
A catalog record for this book is available from the U.S. Library of Congress
British Library Cataloguing in Publication Data
A catalog record for this book is available from the British Library.
ISBN-13: 978-1-63081-862-3
Cover design by Charlene Stevens
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10 9 8 7 6 5 4 3 2 1
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To Sophie, Charlotte, Elliot, and Orphée
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“C’est un gyroscope, c’est la clef de l’Absolu.”
(It is a gyroscope, it is the key to the Absolute.)
Michel Tournier
Le Roi des Aulnes
(The Erl-King)
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“Eppur si muove!”–Galileo Galilei (Although it does move!)
Chambre Mentale #79
Photograph by Marc Le Mené, 2000.
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Contents
Foreword xvii
Preface to the First Edition xix
Preface to the Second Edition xxi
Preface to the Third Edition xxiiii
CHAPTER 1
Introduction 1
References 5
CHAPTER 2
Principle of the Fiber-Optic Gyroscope 7
2.1 Sagnac-Laue Effect 7
2.1.1 A History of Optics from Aether to Relativity 7
2.1.2 Sagnac-Laue Effect in a Vacuum 8
2.1.3 Sagnac-Laue Effect in a Medium 13
2.2 Active and Passive Ring Resonators 16
2.2.1 Ring-Laser Gyroscope 16
2.2.2 Resonant Fiber-Optic Gyroscope 20
2.3 Passive Fiber-Ring Interferometer 21
2.3.1 Principle of the Interferometric Fiber-Optic Gyroscope 21
2.3.2 Theoretical Sensitivity of the I-FOG 23
2.3.3 Noise, Drift, and Scale Factor 27
2.3.4 ARW Versus Root PSD 29
2.3.5 Evaluation of Noise and Drift by Allan Variance
(or Allan Deviation) 36
2.3.6 Allan Variance/Deviation Versus Standard Variance/Deviation 41
2.3.7 Bandwidth 45
2.3.8 Various Functions of a Gyro: Attitude Measurement, Gyro
Compassing, and Inertial Navigation 45
References 48
CHAPTER 3
Reciprocity of a Fiber Ring Interferometer 51
3.1 Principle of Reciprocity 51
3.1.1 Single-Mode Reciprocity of Wave Propagation 51
3.1.2 Reciprocal Behavior of a Beam Splitter 52
ix
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