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Supervisors' Foreword; Abstract; Parts of this work have been previously published in; Acknowledgements; Contents; 1 Introduction; 1.1 Semiconductor Lasers; 1.2 Mode-Locking; 1.2.1 Passive Mode-Locking; 1.2.2 Timing Jitter; 1.3 Time-Delayed Feedback; 1.4 Outline; References; 2 Mode-Locked Laser Model; 2.1 Introduction; 2.2 Derivation of the DDE Model; 2.2.1 Dimensionless Formulation of the DDE System; 2.2.2 Parameter Values; 2.3 Discussion of the DDE Model; References; 3 Mode-Locked Laser Dynamics; 3.1 Introduction; 3.1.1 Bifurcations; 3.2 Solitary Mode-Locked Laser Dynamics

3.2.1 Lasing Threshold3.2.2 Continuous Wave Solutions; 3.2.3 Mode-Locked Solutions; 3.3 Dynamics Induced by Feedback from a Single External Cavity; 3.3.1 Short Delay; 3.3.2 Intermediate Delay; 3.3.3 Long Delay; 3.3.4 Frequency Pulling and Delay-Induced Multistability; 3.4 Dynamics Induced by Feedback from Two External Cavities; 3.4.1 Feedback Induced Dynamics; 3.4.2 Frequency Pulling; 3.5 Summary; References; 4 Timing Jitter of the Mode-Locked Laser; 4.1 Introduction; 4.2 Calculating the Timing Jitter; 4.2.1 Long-Term Timing Jitter; 4.2.2 Semi-analytic Timing Jitter

4.2.3 Experimental Methods of Measuring the Timing Jitter4.3 Timing Jitter of the Solitary Mode-Locked Laser; 4.3.1 Influence of the Amplitude-Phase Coupling on the Timing Jitter; 4.4 Timing Jitter Under the Influence of Feedback from a Single External Cavity; 4.4.1 Feedback Delay Time and Feedback Strength Dependence of the Timing Jitter; 4.4.2 Feedback Phase Dependence of the Timing Jitter; 4.4.3 Influence of Amplitude-Phase Coupling on the Timing Jitter; 4.5 Timing Jitter Under the Influence of Feedback from Two External Cavities

4.5.1 Feedback Delay Time and Feedback Strength Dependence of the Timing Jitter4.5.2 Feedback Phase Dependence of the Timing Jitter; 4.5.3 Comparison with Experimental Results; 4.6 Summary; References; 5 Noise-Induced Modulations ; 5.1 Introduction; 5.2 Suppression of Noise-Induced Modulations; 5.2.1 Stuart
Landau Oscillator; 5.2.2 Mode-Locked Laser; 5.3 Impact of Noise-Induced Modulations on the Timing Jitter; 5.3.1 Timing Jitter with Noise-Induced Modulations; 5.3.2 Reduction of the Timing Jitter via the Suppression of Noise-Induced Modulations; 5.4 Summary; References

6 Summary and OutlookAppendix A Floquet Theory; Appendix B Linearised Mode-Locked Laser System; B.1 Linearised DDE Model; B.2 Adjoint System; Appendix C Suppression of Noise-Induced Modulations; C.1 FitzHugh
Nagumo Oscillator

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