3.7 : References Activate Navigation Menu 4.1 : Methods for measuring the complex impulse response of a grating

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CV

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{ Web Version }

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Table of Contents

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{ Abstract / Résumé }

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Chapter 1

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Chapter 2

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Chapter 3

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Chapter 4

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Chapter 5

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Chapter 6

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Chapter 7

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Chapter 8

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Appendix

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Physics Diploma

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Table of Contents

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{ Abstract / Résumé }

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Chapter 1 : Introduction

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Chapter 2 : Fiber Bragg Gratings

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Chapter 3 : FBG simulation and reconstruction

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Chapter 4 : FBG characterization by optical low coherence reflectometry

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4.1 : Methods for measuring the complex impulse response of a grating

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{ 4.2 : OLCR measurement of the complex impulse response }

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4.3 : New OLCR set-ups

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{ 4.4 : Reconstruction process }

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{ 4.5 : Reconstructed FBG }

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4.6 : Summary

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4.7 : References

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Chapter 5 : FBG strain sensors

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Chapter 6 : FBG based humidity and temperature sensor

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Chapter 7 : OLCR based picometric vibration sensor

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Chapter 8 : Conclusions and future work

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Appendix : A, B, C, D and E

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Other parts

Chapter 4 : FBG characterization by optical low coherence reflectometry



Precise characterization of the grating parameters is essential and the knowledge of the local distributions (Dnac, Dndc and L) is often desired during the writing process or in distributed sensing. It has been shown that optical low coherence reflectometry (OLCR) is a powerful method to characterize the position, length, and index modulation of homogeneous FBGs [4-1].

Measurements using interferometers can be affected by small perturbations, like temperature variations or vibrations, in both interferometer arms that modify the optical path length difference (OPLD). Corresponding drifts of the interference signal phase have to be compensated or the measurement has to be performed in a few milliseconds for assuring high accuracy. A high speed OLCR set-up has been developed to retrieve the complex spectral properties of chirped gratings [4-2]. The drawback is a limited S/N (shot noise) of typically -80 dB [4-3]. In this work, we built a new OLCR set-up, where the S/N is only limited by the Rayleigh scattering in the fiber and the phase drifts are compensated. The OLCR phase information of a FBG is precisely measured by comparing it with the phase of a tunable laser at the same wavelength.

In this chapter, we will show that the OLCR response is mainly the impulse response of the measured FBG. Moreover, the interference of partially coherent light is presented and its application to the OLCR case is developed. Two interfereometers have been conceived and realized, where the reference laser was either wavelength multiplexed or time multiplexed. The reconstruction process of the complex coupling coefficient from the measured OLCR response is exposed. Several FBGs with different properties were measured and their local properties reconstructed.



4.1 Methods for measuring the complex impulse response of a grating
4.2 OLCR measurement of the complex impulse response
4.2.1 Overview
4.2.2 Temporal coherence in vacuum
4.2.3 Propagation in vacuum
a Propagation in vacuum (Michelson interferometer example)
b Propagation in vacuum (Phase decorrelation view)
c Propagation in vacuum (Coherence time and coherence length)
4.2.4 Propagation in dielectric materials
a Propagation in dielectric materials (Dielectric material without dispersion)
b Propagation in dielectric materials (Dielectric material with dispersion)
4.2.5 OLCR measurement of FBG
4.3 New OLCR set-ups
4.3.1 Time multiplexing OLCR design
4.3.2 Measurement principle
4.3.3 Balanced detection scheme
4.3.4 Polarization effects
4.3.5 Wavelength multiplexing OLCR design
4.3.6 Discussion on the different OLCR designs
4.3.7 Time multiplexing design in OFDR use
4.3.8 Transmission impulse response OLCR set-up
4.4 Reconstruction process
4.4.1 Complex OLCR signal reconstruction
4.4.2 Complex FBG spectral response calculation
4.4.3 Complex coupling coefficient reconstruction
4.5 Reconstructed FBG
4.5.1 Homogeneous FBG
4.5.2 Non-homogenous grating
4.5.3 Fiber Bragg grating with excess loss
4.6 Summary
4.7 References


3.7 : References Activate Navigation Menu 4.1 : Methods for measuring the complex impulse response of a grating