4.2.3.a : Propagation in vacuum (Michelson interferometer example) Activate Navigation Menu 4.2.3.c : Propagation in vacuum (Coherence time and coherence length)

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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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Chapter 4

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4.1

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{ 4.2 }

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4.2.1

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4.2.2

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{ 4.2.3 }

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4.2.3.a

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4.2.3.b

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4.2.3.c

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4.2.4

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4.2.5

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4.3

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{ 4.4 }

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{ 4.5 }

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4.6

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4.7

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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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4.2.3.a : Propagation in vacuum (Michelson interferometer example)

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4.2.3.b : Propagation in vacuum (Phase decorrelation view)

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4.2.3.c : Propagation in vacuum (Coherence time and coherence length)

4.2        OLCR measurement of the complex impulse response

4.2.3       Propagation in vacuum

b)   Phase decorrelation view

The temporal coherence can be seen as a phase decorrelation of each frequency light component. As an example, a light source with only five monochromatic components of the same intensity and different wavelength li is considered.

Fig. 4-4 Interference amplitude for five different frequencies (thin gray lines) and amplitude sum (thick black line); the normalized distance corresponds to twice the distance divided by the average wavelength

Fig. 4-4 shows the interference signals for each monochromatic component (thin grey lines) and the normalized total intensity (thick black line). The normalized distance is defined as where is the central wavelength. The interference signal for the monochromatic components is a cosinus with a period proportional to the wavelength. A perfect phase matching between the components is observed at zn = 0 but for an increasing distance |zn|, the phase matching degrades and the partially destructive addition explains the modulation amplitude drop of the total intensity.



4.2.3.a : Propagation in vacuum (Michelson interferometer example) Activate Navigation Menu 4.2.3.c : Propagation in vacuum (Coherence time and coherence length)