Jaurigue Passively Mode-Locked Semiconductor Lasers

Dynamics and Stochastic Properties in the Presence of Optical Feedback
1. Auflage 2017
ISBN: 978-3-319-58874-2
Verlag: Springer Nature Switzerland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 206 Seiten

Reihe: Springer Theses

This thesis investigates the dynamics of passively mode-locked semiconductor lasers, with a focus on the influence of optical feedback on the noise characteristics. The results presented here are important for improving the performance of passively mode-locked semiconductor lasers and, at the same time, are relevant for understanding delay-systems in general. The semi-analytic results developed are applicable to a broad range of oscillatory systems with time-delayed feedback, making the thesis of relevance to various scientific communities. Passively mode-locked lasers can produce pulse trains and have applications in the contexts of optical clocking, microscopy and optical data communication, among others. Using a system of delay differential equations to model these devices, a combination of numerical and semi-analytic methods is developed and used to characterize this system. 


Lina Jaurigue received her BSc in physics, mathematics and geophysics in 2009 from Victoria University of Wellington in New Zealand. In 2011 she completed her BSc with First Class Honours in physics and following this her MSc in physics in 2013, both also from the Victoria University of Wellington. In 2013 she started her doctoral studies at the Technische Universität Berlin, which she completed in 2016. Her scientific interests include nonlinear laser dynamics, delay differential equations and quantum transport. She has authored and co-authored 8 peer-reviewed scientific papers.      

Autoren/Hrsg.

Jaurigue, Lina

Inhaltsverzeichnis

1;Supervisors’ Foreword;6
2;Abstract;8
3;Parts of this work have been previously published in;10
4;Acknowledgements;11
5;Contents;12
6;1 Introduction;1
6.1;1.1 Semiconductor Lasers;16
6.2;1.2 Mode-Locking;20
6.2.1;1.2.1 Passive Mode-Locking;21
6.2.2;1.2.2 Timing Jitter;22
6.3;1.3 Time-Delayed Feedback;23
6.4;1.4 Outline;24
6.5;References;24
7;2 Mode-Locked Laser Model;28
7.1;2.1 Introduction;28
7.2;2.2 Derivation of the DDE Model;29
7.2.1;2.2.1 Dimensionless Formulation of the DDE System;38
7.2.2;2.2.2 Parameter Values;39
7.3;2.3 Discussion of the DDE Model;40
7.4;References;42
8;3 Mode-Locked Laser Dynamics;45
8.1;3.1 Introduction;45
8.1.1;3.1.1 Bifurcations;45
8.2;3.2 Solitary Mode-Locked Laser Dynamics;49
8.2.1;3.2.1 Lasing Threshold;50
8.2.2;3.2.2 Continuous Wave Solutions;51
8.2.3;3.2.3 Mode-Locked Solutions;54
8.3;3.3 Dynamics Induced by Feedback from a Single External Cavity;65
8.3.1;3.3.1 Short Delay;66
8.3.2;3.3.2 Intermediate Delay;93
8.3.3;3.3.3 Long Delay;97
8.3.4;3.3.4 Frequency Pulling and Delay-Induced Multistability;101
8.4;3.4 Dynamics Induced by Feedback from Two External Cavities;110
8.4.1;3.4.1 Feedback Induced Dynamics;110
8.4.2;3.4.2 Frequency Pulling;121
8.5;3.5 Summary;125
8.6;References;128
9;4 Timing Jitter of the Mode-Locked Laser;131
9.1;4.1 Introduction;131
9.2;4.2 Calculating the Timing Jitter;132
9.2.1;4.2.1 Long-Term Timing Jitter;132
9.2.2;4.2.2 Semi-analytic Timing Jitter;137
9.2.3;4.2.3 Experimental Methods of Measuring the Timing Jitter;145
9.3;4.3 Timing Jitter of the Solitary Mode-Locked Laser;148
9.3.1;4.3.1 Influence of the Amplitude-Phase Coupling on the Timing Jitter;151
9.4;4.4 Timing Jitter Under the Influence of Feedback from a Single External Cavity;152
9.4.1;4.4.1 Feedback Delay Time and Feedback Strength Dependence of the Timing Jitter;152
9.4.2;4.4.2 Feedback Phase Dependence of the Timing Jitter;160
9.4.3;4.4.3 Influence of Amplitude-Phase Coupling on the Timing Jitter;161
9.5;4.5 Timing Jitter Under the Influence of Feedback from Two External Cavities;162
9.5.1;4.5.1 Feedback Delay Time and Feedback Strength Dependence of the Timing Jitter;163
9.5.2;4.5.2 Feedback Phase Dependence of the Timing Jitter;165
9.5.3;4.5.3 Comparison with Experimental Results;166
9.6;4.6 Summary;168
9.7;References;170
10;5 Noise-Induced Modulations;172
10.1;5.1 Introduction;172
10.2;5.2 Suppression of Noise-Induced Modulations;174
10.2.1;5.2.1 Stuart--Landau Oscillator;174
10.2.2;5.2.2 Mode-Locked Laser;182
10.3;5.3 Impact of Noise-Induced Modulations on the Timing Jitter;189
10.3.1;5.3.1 Timing Jitter with Noise-Induced Modulations;189
10.3.2;5.3.2 Reduction of the Timing Jitter via the Suppression of Noise-Induced Modulations;191
10.4;5.4 Summary;194
10.5;References;196
11;6 Summary and Outlook;198
12;Appendix A Floquet Theory;201
13;Appendix B Linearised Mode-Locked Laser System;203
14;B.1 Linearised DDE Model;203
15;B.2 Adjoint System;204
16;Appendix C Suppression of Noise-Induced Modulations;205
17;C.1 FitzHugh--Nagumo Oscillator;205