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1 | (12) |
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1.1 Light-Matter Interaction in Semiconductors |
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1 | (3) |
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4 | (2) |
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1.3 Semiconductor Lasers as Dynamical Systems |
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6 | (1) |
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1.4 Semiconductor Quantum-Dots |
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7 | (2) |
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1.5 Outline of the Thesis |
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9 | (4) |
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10 | (3) |
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2 Theory of Quantum-Dot Optical Devices |
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13 | (40) |
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13 | (1) |
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2.2 Charge-Carrier Scattering in Quantum-Dot Structures |
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14 | (11) |
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2.2.1 Coulomb-Scattering of Charge Carriers |
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16 | (4) |
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2.2.2 Electron-Hole Picture |
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20 | (1) |
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21 | (2) |
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2.2.4 Carrier-Phonon Scattering |
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23 | (2) |
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2.3 Light-Matter Interaction |
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25 | (7) |
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2.3.1 Electric Field Dynamics |
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26 | (3) |
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2.3.2 Maxwell-Bloch Equations |
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29 | (3) |
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2.4 Quantum-Dot Laser Rate Equations |
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32 | (11) |
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2.4.1 Maxwell-Bloch Laser Rate Equations |
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32 | (5) |
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2.4.2 Adiabatically Eliminated Polarization |
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37 | (2) |
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2.4.3 Modeling of Spontaneous Emission |
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39 | (2) |
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2.4.4 Carrier-Induced Gain and Refractive Index Changes |
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41 | (2) |
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2.5 Quantum-Dot Laser Carrier-Heating Model |
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43 | (10) |
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2.5.1 Charge-Carrier Energy and Temperature |
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43 | (2) |
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2.5.2 Carrier Heating by Auger-Scattering Processes |
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45 | (1) |
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2.5.3 Energy Balance Equations |
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46 | (1) |
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47 | (6) |
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3 Quantum-Dot Laser Dynamics |
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53 | (94) |
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53 | (1) |
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3.2 Laser Dynamics---Relaxation Oscillations |
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54 | (12) |
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3.2.1 Relaxation Oscillations in Two-Variable Laser Equations |
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55 | (3) |
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3.2.2 Turn-On Dynamics of Quantum-Dot Lasers |
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58 | (5) |
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3.2.3 Influence of Charge-Carrier Scattering |
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63 | (3) |
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3.3 Minimal Model for Quantum-Dot Laser Dynamics |
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66 | (10) |
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3.3.1 Linearization and Eigenvalue Problem |
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68 | (3) |
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3.3.2 Asymptotic Analysis---Relaxation Oscillations |
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71 | (5) |
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3.4 Modulation Response of Quantum-Dot Lasers |
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76 | (6) |
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3.4.1 Small-Signal Response |
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76 | (6) |
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3.5 Amplitude-Phase Coupling in Quantum-Dot Lasers |
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82 | (7) |
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3.5.1 The Linewidth-Enhancement Factor α |
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83 | (1) |
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3.5.2 Charge-Carrier-Induced Susceptibility in Quantum-Dot Lasers |
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84 | (5) |
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3.6 Dynamics Under Optical Injection |
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89 | (22) |
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3.6.1 Quantum-Dot Laser Model with Optical Injection |
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90 | (2) |
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3.6.2 Injection Locking of Quantum-Dot Lasers |
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92 | (5) |
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3.6.3 Dependence on the Quantum-Dot Structure and Pump-Current |
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97 | (4) |
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3.6.4 Evaluation of the α-Factor from Optical Injection |
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101 | (3) |
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3.6.5 Comparison with α-Factor-Based Models |
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104 | (7) |
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3.7 Optical Injection---Numerical Path Continuation |
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111 | (12) |
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3.7.1 Quantum-Dot Laser Model Simplification |
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112 | (5) |
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3.7.2 Path Continuation Results |
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117 | (3) |
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3.7.3 Dependencies on Scattering and Reservoir Loss Rates |
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120 | (2) |
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122 | (1) |
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3.8 Dynamics Under Optical Feedback |
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123 | (8) |
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3.8.1 Quantum-Dot Laser Model with Optical Feedback |
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123 | (2) |
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3.8.2 Quantum-Dot Laser Dynamics Under Optical Feedback |
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125 | (6) |
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3.9 Small-Signal Frequency Response of Quantum-Dot Lasers |
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131 | (6) |
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3.9.1 Evaluation of the Frequency and Amplitude Modulation Indices |
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131 | (1) |
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3.9.2 Numerical Evaluation of FM/AM Measurements |
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132 | (3) |
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3.9.3 Influence of Scattering Rates and Reservoir Losses |
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135 | (2) |
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137 | (10) |
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139 | (8) |
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4 Quantum-Dot Optical Amplifiers |
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147 | (40) |
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147 | (1) |
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4.2 Quantum-Dot Semiconductor Optical Amplifier Model |
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148 | (6) |
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4.2.1 Electric Field Propagation |
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149 | (1) |
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4.2.2 Quantum-Dot Material Equations |
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150 | (2) |
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4.2.3 Modeling of Spontaneous Emission |
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152 | (2) |
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4.3 Large-Signal Amplification in Quantum-Dot Amplifiers |
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154 | (10) |
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4.3.1 Calculation of Amplified Spontaneous Emission Spectra |
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155 | (4) |
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159 | (2) |
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4.3.3 Amplification of Optical Data Streams |
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161 | (3) |
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4.4 Multi-State Operation of Quantum-Dot Amplifiers |
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164 | (5) |
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4.5 Coherent Transients in Quantum-Dot Amplifiers |
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169 | (11) |
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4.5.1 Rabi-Oscillations in Quantum-Dot Semiconductor Amplifiers |
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171 | (4) |
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4.5.2 Comparison with Experimental Measurements |
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175 | (5) |
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180 | (7) |
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182 | (5) |
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187 | (4) |
Appendix A |
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191 | |