3.4.6 : Reconstruction from the complex impulse response Activate Navigation Menu 3.5.2 : Method to distinguish period chirp and DC refractive index chirp

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CV

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Ph.D.

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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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{ 3.1 }

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{ 3.2 }

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3.3

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{ 3.4 }

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{ 3.5 }

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3.5.1

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3.5.2

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3.6

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3.7

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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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Other parts

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Post-Doc

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MBI

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Physics Diploma

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Photos

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3.5.1 : Characterization of FBGs with loss

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3.5.2 : Method to distinguish period chirp and DC refractive index chirp

3.5        Methods for characterizing FBGs with loss or with refractive index and period chirp components

3.5.1        Characterization of FBGs with loss

In Chapter 2, we have seen that a tilt in the grating is associated with an excess loss. In a first approximation these losses are assumed to be frequency independent and they are included in a loss matrix Taj defined as


(3-24)


The similarity with the pure propagation matrix allows to define a new propagation matrix that takes account of the loss :


(3-25)


The loss matrix can be adapted to other types of loss, frequency dependent or not via the parameter a. The recursion equation becomes in this case


(3-26)


The reconstruction for FBGs experiencing losses, which can be described with the loss matrix Ta,j, is possible with the layer-peeling method by using the recursive equation (3-26) instead of (3-13).



3.4.6 : Reconstruction from the complex impulse response Activate Navigation Menu 3.5.2 : Method to distinguish period chirp and DC refractive index chirp