Passively Mode-Locked Semiconductor Lasers (eBook)

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.      

Supervisors’ Foreword 6
Abstract 8
Parts of this work have been previously published in 10
Acknowledgements 11
Contents 12
1 Introduction 1
1.1 Semiconductor Lasers 16
1.2 Mode-Locking 20
1.2.1 Passive Mode-Locking 21
1.2.2 Timing Jitter 22
1.3 Time-Delayed Feedback 23
1.4 Outline 24
References 24
2 Mode-Locked Laser Model 28
2.1 Introduction 28
2.2 Derivation of the DDE Model 29
2.2.1 Dimensionless Formulation of the DDE System 38
2.2.2 Parameter Values 39
2.3 Discussion of the DDE Model 40
References 42
3 Mode-Locked Laser Dynamics 45
3.1 Introduction 45
3.1.1 Bifurcations 45
3.2 Solitary Mode-Locked Laser Dynamics 49
3.2.1 Lasing Threshold 50
3.2.2 Continuous Wave Solutions 51
3.2.3 Mode-Locked Solutions 54
3.3 Dynamics Induced by Feedback from a Single External Cavity 65
3.3.1 Short Delay 66
3.3.2 Intermediate Delay 93
3.3.3 Long Delay 97
3.3.4 Frequency Pulling and Delay-Induced Multistability 101
3.4 Dynamics Induced by Feedback from Two External Cavities 110
3.4.1 Feedback Induced Dynamics 110
3.4.2 Frequency Pulling 121
3.5 Summary 125
References 128
4 Timing Jitter of the Mode-Locked Laser 131
4.1 Introduction 131
4.2 Calculating the Timing Jitter 132
4.2.1 Long-Term Timing Jitter 132
4.2.2 Semi-analytic Timing Jitter 137
4.2.3 Experimental Methods of Measuring the Timing Jitter 145
4.3 Timing Jitter of the Solitary Mode-Locked Laser 148
4.3.1 Influence of the Amplitude-Phase Coupling on the Timing Jitter 151
4.4 Timing Jitter Under the Influence of Feedback from a Single External Cavity 152
4.4.1 Feedback Delay Time and Feedback Strength Dependence of the Timing Jitter 152
4.4.2 Feedback Phase Dependence of the Timing Jitter 160
4.4.3 Influence of Amplitude-Phase Coupling on the Timing Jitter 161
4.5 Timing Jitter Under the Influence of Feedback from Two External Cavities 162
4.5.1 Feedback Delay Time and Feedback Strength Dependence of the Timing Jitter 163
4.5.2 Feedback Phase Dependence of the Timing Jitter 165
4.5.3 Comparison with Experimental Results 166
4.6 Summary 168
References 170
5 Noise-Induced Modulations 172
5.1 Introduction 172
5.2 Suppression of Noise-Induced Modulations 174
5.2.1 Stuart--Landau Oscillator 174
5.2.2 Mode-Locked Laser 182
5.3 Impact of Noise-Induced Modulations on the Timing Jitter 189
5.3.1 Timing Jitter with Noise-Induced Modulations 189
5.3.2 Reduction of the Timing Jitter via the Suppression of Noise-Induced Modulations 191
5.4 Summary 194
References 196
6 Summary and Outlook 198
Appendix A Floquet Theory 201
Appendix B Linearised Mode-Locked Laser System 203
B.1 Linearised DDE Model 203
B.2 Adjoint System 204
Appendix C Suppression of Noise-Induced Modulations 205
C.1 FitzHugh--Nagumo Oscillator 205