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tel-00916300, version 1 - 10 Dec 2013<br />

4.11 Summary on SRSO/SRSN MLs . . . . . . . . . . . . . . . . . . . . . 132<br />

4.12 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134<br />

5 Photoluminescence emission mo<strong>de</strong>ling in <strong>Si</strong>-<strong>base</strong>d<br />

thin lms 137<br />

5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137<br />

5.2 Inci<strong>de</strong>nt pump prole . . . . . . . . . . . . . . . . . . . . . . . . . . . 138<br />

5.2.1 Methodology : Matrix formulation for Isotropic layered media 138<br />

5.2.2 Inci<strong>de</strong>nt electric eld amplitu<strong>de</strong>, A 1 . . . . . . . . . . . . . . . 140<br />

5.2.3 Pump prole in the thin lm . . . . . . . . . . . . . . . . . . . 140<br />

5.3 Emission mo<strong>de</strong>ling . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145<br />

5.3.1 <strong>Si</strong>ngle emitter mo<strong>de</strong>ling . . . . . . . . . . . . . . . . . . . . . 146<br />

5.3.2 Population rate equations . . . . . . . . . . . . . . . . . . . . 148<br />

5.3.3 Dynamical losses and gain . . . . . . . . . . . . . . . . . . . . 150<br />

5.4 Discussion on the choice of input parameters . . . . . . . . . . . . . . 153<br />

5.4.1 Absorption and Emission cross-sections . . . . . . . . . . . . 153<br />

5.4.2 Lifetime of <strong>Si</strong>-np in dierent MLs . . . . . . . . . . . . . . . . 153<br />

5.4.3 Absorption and emission wavelengths . . . . . . . . . . . . . 154<br />

5.5 Mo<strong>de</strong>ling SRSO/<strong>Si</strong>O 2 MLs . . . . . . . . . . . . . . . . . . . . . . . . 154<br />

5.5.1 Origin of two emission peaks . . . . . . . . . . . . . . . . . . . 155<br />

5.5.2 Inuence of t <strong>Si</strong>O2 on the PL intensity . . . . . . . . . . . . . . 160<br />

5.6 Mo<strong>de</strong>ling SRSO/SRSN MLs . . . . . . . . . . . . . . . . . . . . . . . 163<br />

5.7 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165<br />

5.8 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166<br />

Conclusion and future perspectives 167<br />

Bibliography 171<br />

Appendix I 188<br />

Appendix II 191<br />

Appendix III 192<br />

iv

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