Preface |
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xiii | |
Acknowledgments |
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xv | |
Authors |
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xvii | |
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1 | (22) |
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1.1 Ultrahigh Capacity Demands and Short Pulse Lasers |
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1 | (4) |
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1 | (3) |
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1.1.2 Ultrashort Pulse Lasers |
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4 | (1) |
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1.2 Principal Objectives of the Book |
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5 | (1) |
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1.3 Organization of the Book Chapters |
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6 | (3) |
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1.4 Historical Overview of Ultrashort Pulse Fiber Lasers |
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9 | (8) |
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9 | (2) |
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1.4.2 Mode-Locking Mechanism in Fiber Ring Resonators |
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11 | (1) |
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1.4.2.1 Amplifying Medium and Laser System |
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12 | (2) |
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1.4.2.2 Active Modulation in Laser Cavity |
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14 | (1) |
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1.4.2.3 Techniques for Generation of Terahertz-Repetition-Rate Pulse Trains |
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15 | (1) |
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1.4.2.4 Necessity of Highly Nonlinear Optical Waveguide Section for Ultrahigh-Speed Modulation |
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16 | (1) |
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17 | (6) |
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2 Principles and Analysis of Mode-Locked Fiber Lasers |
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23 | (48) |
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2.1 Principles of Mode Locking |
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23 | (2) |
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2.2 Mode-Locking Techniques |
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25 | (11) |
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2.2.1 Passive Mode Locking |
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25 | (2) |
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2.2.2 Active Mode Locking by Amplitude Modulation |
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27 | (1) |
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2.2.3 Active Medium and Pump Source |
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28 | (2) |
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30 | (1) |
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30 | (2) |
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2.2.6 Active Mode Locking by Phase Modulation |
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32 | (4) |
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2.3 Actively Mode-Locked Fiber Lasers |
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36 | (6) |
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2.3.1 Principle of Actively Mode-Locked Fiber Lasers |
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36 | (1) |
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2.3.2 Multiplication of Repetition Rate |
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37 | (2) |
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2.3.3 Equalizing and Stabilizing Pulses in Rational HMLFL |
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39 | (3) |
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2.4 Analysis of Actively Mode-Locked Lasers |
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42 | (23) |
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42 | (1) |
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2.4.2 Analysis Using Self-Consistence Condition with Gaussian Pulse Shape |
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43 | (3) |
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2.4.3 Series Approach Analysis |
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46 | (3) |
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49 | (1) |
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2.4.4.1 Mode Locking without Detuning |
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49 | (5) |
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2.4.4.2 Mode Locking by Detuning |
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54 | (6) |
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60 | (5) |
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65 | (1) |
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66 | (5) |
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3 Active Mode-Locked Fiber Ring Lasers: Implementation |
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71 | (34) |
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3.1 Building Blocks of Active Mode-Locked Fiber Ring Laser |
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71 | (5) |
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3.1.1 Laser Cavity Design |
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72 | (1) |
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3.1.2 Active Medium and Pump Source |
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73 | (1) |
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74 | (1) |
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75 | (1) |
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3.2 AM and FM Mode-Locked Erbium-Doped Fiber Ring Laser |
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76 | (5) |
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3.2.1 AM Mode-Locked Fiber Lasers |
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76 | (2) |
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3.2.2 FM or PM Mode-Locked Fiber Lasers |
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78 | (3) |
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3.3 Regenerative Active Mode-Locked Erbium-Doped Fiber Ring Laser |
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81 | (10) |
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82 | (2) |
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3.3.2 Results and Discussion |
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84 | (1) |
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84 | (1) |
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3.3.2.2 Temporal and Spectral Analysis |
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85 | (2) |
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3.3.2.3 Measurement Accuracy |
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87 | (1) |
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3.3.2.4 EDF Cooperative Up-Conversion |
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88 | (1) |
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88 | (3) |
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3.4 Ultrahigh Repetition-Rate Ultra-Stable Fiber Mode-Locked Lasers |
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91 | (11) |
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3.4.1 Regenerative Mode-Locking Techniques and Conditions for Generation of Transform-Limited Pulses from a Mode-Locked Laser |
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92 | (1) |
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3.4.1.1 Schematic Structure of MLRL |
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92 | (1) |
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3.4.1.2 Mode-Locking Conditions |
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93 | (1) |
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3.4.1.3 Factors Influencing the Design and Performance of Mode Locking and Generation of Optical Pulse Trains |
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94 | (2) |
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3.4.2 Experimental Setup and Results |
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96 | (4) |
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100 | (2) |
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102 | (1) |
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102 | (3) |
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4 NLSE Numerical Simulation of Active Mode-Locked Lasers: Time Domain Analysis |
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105 | (34) |
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105 | (1) |
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106 | (3) |
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4.2.1 Modeling the Optical Fiber |
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106 | (1) |
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107 | (1) |
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4.2.3 Modeling the Optical Modulation |
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107 | (1) |
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4.2.4 Modeling the Optical Filter |
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108 | (1) |
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4.3 The Propagation Model |
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109 | (9) |
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4.3.1 Generation and Propagation |
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109 | (2) |
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4.3.2 Results and Discussions |
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111 | (1) |
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4.3.2.1 Propagation of Optical Pulses in the Fiber |
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111 | (7) |
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4.4 Harmonic Mode-Locked Laser |
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118 | (13) |
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4.4.1 Mode-Locked Pulse Evolution |
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118 | (4) |
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4.4.2 Effect of Modulation Frequency |
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122 | (1) |
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4.4.3 Effect of Modulation Depth |
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123 | (1) |
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4.4.4 Effect of the Optical Filter Bandwidth |
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123 | (4) |
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4.4.5 Effect of Pump Power |
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127 | (1) |
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4.4.6 Rational Harmonic Mode-Locked Laser |
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128 | (3) |
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4.5 FM or PM Mode-Locked Fiber Lasers |
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131 | (3) |
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134 | (2) |
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136 | (3) |
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5 Dispersion and Nonlinearity Effects in Active Mode-Locked Fiber Lasers |
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139 | (38) |
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139 | (1) |
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5.2 Propagation of Optical Pulses in a Fiber |
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140 | (7) |
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141 | (3) |
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144 | (1) |
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145 | (1) |
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5.2.4 Propagation Equation in Optical Fibers |
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146 | (1) |
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5.3 Dispersion Effects in Actively Mode-Locked Fiber Lasers |
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147 | (7) |
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147 | (3) |
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5.3.2 Dispersion Effects in Detuned Actively Mode-Locked Fiber Lasers |
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150 | (3) |
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153 | (1) |
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5.4 Nonlinear Effects in Actively Mode-Locked Fiber Lasers |
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154 | (6) |
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154 | (3) |
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5.4.2 Detuning in an Actively Mode-Locked Fiber Laser with Nonlinearity Effect |
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157 | (2) |
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5.4.3 Pulse Amplitude Equalization in a Harmonic Mode-Locked Fiber Laser |
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159 | (1) |
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5.5 Soliton Formation in Actively Mode-Locked Fiber Lasers with Combined Effect of Dispersion and Nonlinearity |
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160 | (5) |
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160 | (3) |
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5.5.2 Detuning and Locking Range in a Mode-Locked Fiber Laser with Nonlinearity and Dispersion Effect |
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163 | (2) |
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5.6 Detuning and Pulse Shortening |
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165 | (8) |
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165 | (1) |
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5.6.2 Mode-Locked Pulse Train with 10GHz Repetition Rate |
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166 | (3) |
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5.6.3 Wavelength Shifting in a Detuned Actively Mode-Locked Fiber Laser with Dispersion Cavity |
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169 | (2) |
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5.6.4 Pulse Shortening and Spectrum Broadening under Nonlinearity Effect |
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171 | (2) |
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173 | (1) |
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173 | (4) |
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6 Actively Mode-Locked Fiber Lasers with Birefringent Cavity |
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177 | (38) |
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177 | (1) |
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6.2 Birefringence Cavity of an Actively Mode-Locked Fiber Laser |
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178 | (7) |
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180 | (2) |
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182 | (3) |
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6.3 Polarization Switching in an Actively Mode-Locked Fiber Laser with Birefringence Cavity |
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185 | (15) |
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185 | (1) |
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6.3.2 Results and Discussion |
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186 | (1) |
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186 | (2) |
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188 | (1) |
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6.3.3 Dual Orthogonal Polarization States in an Actively Mode-Locked Birefringent Fiber Ring Laser |
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189 | (1) |
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6.3.3.1 Experimental Setup |
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189 | (2) |
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6.3.3.2 Results and Discussion |
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191 | (6) |
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6.3.4 Pulse Dropout and Sub-Harmonic Locking |
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197 | (1) |
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198 | (2) |
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6.4 Ultrafast Tunable Actively Mode-Locked Fiber Lasers |
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200 | (10) |
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200 | (1) |
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6.4.2 Birefringence Filter |
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201 | (1) |
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6.4.3 Ultrafast Electrically Tunable Filter Based on Electro-Optic Effect of LiNbO3 |
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202 | (1) |
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6.4.3.1 Lyot Filter and Wavelength Tuning by a Phase Shifter |
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202 | (1) |
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6.4.3.2 Experimental Results |
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203 | (3) |
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6.4.4 Ultrafast Electrically Tunable MLL |
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206 | (1) |
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6.4.4.1 Experimental Setup |
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206 | (1) |
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6.4.4.2 Experimental Results |
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207 | (2) |
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209 | (1) |
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210 | (2) |
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212 | (3) |
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7 Ultrafast Fiber Ring Lasers by Temporal Imaging |
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215 | (18) |
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7.1 Repetition Rate Multiplication Techniques |
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215 | (7) |
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7.1.1 Fractional Temporal Talbot Effect |
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216 | (1) |
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7.1.2 Other Repetition Rate Multiplication Techniques |
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217 | (1) |
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218 | (1) |
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7.1.4 Results and Discussion |
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219 | (3) |
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7.2 Uniform Lasing Mode Amplitude Distribution |
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222 | (7) |
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7.2.1 Gaussian Lasing Mode Amplitude Distribution |
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224 | (1) |
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7.2.2 Filter Bandwidth Influence |
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225 | (1) |
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225 | (2) |
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227 | (2) |
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229 | (1) |
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230 | (3) |
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8 Terahertz Repetition Rate Fiber Ring Laser |
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233 | (34) |
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8.1 Gaussian Modulating Signal |
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233 | (7) |
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8.2 Rational Harmonic Detuning |
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240 | (11) |
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241 | (2) |
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8.2.2 Results and Discussion |
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243 | (8) |
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8.3 Parametric Amplifier-Based Fiber Ring Laser |
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251 | (12) |
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8.3.1 Parametric Amplification |
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251 | (1) |
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252 | (1) |
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8.3.3 Results and Discussion |
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252 | (1) |
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8.3.3.1 Parametric Amplifier Action |
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252 | (1) |
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8.3.3.2 Ultrahigh Repetition Rate Operation |
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253 | (7) |
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8.3.3.3 Ultra-Narrow Pulse Operation |
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260 | (1) |
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8.3.3.4 Intracavity Power |
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261 | (1) |
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8.3.3.5 Soliton Compression |
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262 | (1) |
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8.4 Regenerative Parametric Amplifier-Based Mode-Locked Fiber Ring Laser |
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263 | (1) |
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263 | (1) |
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8.4.2 Results and Discussion |
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263 | (1) |
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264 | (1) |
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265 | (2) |
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9 Nonlinear Fiber Ring Lasers |
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267 | (26) |
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267 | (1) |
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9.2 Optical Bistability, Bifurcation, and Chaos |
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268 | (5) |
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9.3 Nonlinear Optical Loop Mirror |
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273 | (3) |
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9.4 Nonlinear Amplifying Loop Mirror |
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276 | (1) |
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9.5 NOLM-NALM Fiber Ring Laser |
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277 | (14) |
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9.5.1 Simulation of Laser Dynamics |
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277 | (3) |
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280 | (1) |
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9.5.2.1 Bidirectional Erbium-Doped Fiber Ring Laser |
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280 | (5) |
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9.5.2.2 Continuous-Wave NOLM-NALM Fiber Ring Laser |
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285 | (2) |
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9.5.2.3 Amplitude-Modulated NOLM-NALM Fiber Ring Laser |
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287 | (4) |
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291 | (1) |
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291 | (2) |
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10 Bound Solitons by Active Phase Modulation Mode-Locked Fiber Ring Lasers |
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293 | (34) |
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293 | (1) |
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10.2 Formation of Bound States in an FM Mode-Locked Fiber Ring Laser |
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294 | (3) |
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10.3 Experimental Technique |
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297 | (5) |
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10.4 Dynamics of Bound States in an FM Mode-Locked Fiber Ring Laser |
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302 | (8) |
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10.4.1 Numerical Model of an FM Mode-Locked Fiber Ring Laser |
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302 | (2) |
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10.4.2 The Formation of the Bound Soliton States |
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304 | (2) |
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10.4.3 Evolution of the Bound Soliton States in the FM Fiber Loop |
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306 | (4) |
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10.5 Multi-Bound Soliton Propagation in Optical Fiber |
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310 | (6) |
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10.6 Bi-Spectra of Multi-Bound Solitons |
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316 | (8) |
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316 | (2) |
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10.6.2 The Phasor Optical Spectral Analyzers |
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318 | (5) |
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10.6.3 Bi-Spectrum of Duffing Chaotic Systems |
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323 | (1) |
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324 | (1) |
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324 | (3) |
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11 Actively Mode-Locked Multiwavelength Erbium-Doped Fiber Lasers |
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327 | (22) |
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327 | (1) |
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11.2 Numerical Model of an Actively Mode-Locked Multiwavelength Erbium-Doped Fiber Laser |
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328 | (4) |
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11.3 Simulation Results of an Actively Mode-Locked Multiwavelength Erbium-Doped Fiber Laser |
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332 | (9) |
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11.3.1 Effects of Small Positive Dispersion Cavity and Nonlinear Effects on Gain Competition Suppression Using a Highly Nonlinear Fiber |
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332 | (4) |
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11.3.2 Effects of a Large Positive Dispersion and Nonlinear Effects Using a Highly Nonlinear Fiber in the Cavity on Gain Competition Suppression |
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336 | (3) |
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11.3.3 Effects of a Large Negative Dispersion and Nonlinear Effects Using a Highly Nonlinear Fiber in the Cavity on Gain Competition Suppression |
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339 | (1) |
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11.3.4 Effects of Cavity Dispersion and a Hybrid Broadening Gain Medium on the Tolerable Loss Imbalance between the Wavelengths |
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339 | (2) |
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11.4 Experimental Validation and Discussion on an Actively Mode-Locked Multiwavelength Erbium-Doped Fiber Laser |
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341 | (4) |
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11.5 Conclusions and Suggestions for Future Work |
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345 | (1) |
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346 | (3) |
Appendix A Er-Doped Fiber Amplifier: Optimum Length and Implementation |
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349 | (4) |
Appendix B MATLAB® Programs for Simulation |
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353 | (50) |
Appendix C Abbreviations |
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403 | (4) |
Index |
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407 | |