Preface |
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xvii | |
Author |
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xix | |
Chapter 1 Principal Photonic Devices for Processing |
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1 | |
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1.1 Optical Fiber Communications |
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1 | |
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1.2 Photonic Signal Processors |
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2 | |
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1.2.1 Photonic Signal Processing |
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2 | |
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1.2.2 Some Processor Components |
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3 | |
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1.2.2.1 Optical Amplifiers |
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3 | |
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1.2.2.2 Pumping Characteristics |
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4 | |
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1.2.2.3 Gain Characteristics |
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6 | |
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1.2.3 Noise Considerations of EDFAs and Impact on System Performance |
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10 | |
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1.2.3.1 Noise Considerations |
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10 | |
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1.2.3.2 Fiber Bragg Gratings |
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13 | |
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15 | |
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1.3.1 Introductory Remarks |
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15 | |
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1.3.2 Lithium Niobate Optical Modulators |
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16 | |
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1.3.2.1 Optical-Diffused Channel Waveguides |
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16 | |
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1.3.2.2 Linear Electro-Optic Effect |
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28 | |
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1.3.3 Electro-Absorption Modulators |
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35 | |
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1.3.3.1 Electro-Absorption Effects |
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35 | |
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1.3.3.2 Rib Channel Waveguides |
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38 | |
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1.3.4 Operational Principles and Transfer Characteristics |
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42 | |
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1.3.4.1 Electro-Optic Mach–Zehnder Interferometric Modulator |
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42 | |
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1.3.5 Modulation Characteristics and Transfer Function |
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51 | |
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1.3.5.1 Transfer Function |
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51 | |
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1.3.5.2 Extinction Ratio for Large Signal Operation |
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54 | |
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1.3.5.3 Small Signal Operation |
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55 | |
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1.3.5.4 DC Bias Stability and Linearization |
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55 | |
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1.3.6 Chirp in Modulators |
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56 | |
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56 | |
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58 | |
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1.3.7 Electro-Optic Polymer Modulators |
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59 | |
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1.3.8 Modulators for Photonic Signal Processing |
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62 | |
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Chapter 2 Incoherence and Coherence in Photonic Signal Processing |
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71 | |
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71 | |
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2.2 Incoherent Fiber-Optic Signal Processing |
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72 | |
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2.2.1 Fiber-Optic Delay Lines |
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73 | |
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2.2.2 Fiber-Optic Directional Couplers |
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74 | |
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2.2.3 Fiber-Optic and Semiconductor Amplifiers |
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75 | |
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2.3 Coherent Integrated-Optic Signal Processing |
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76 | |
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2.3.1 Integrated-Optic Delay Lines |
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79 | |
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2.3.2 Integrated-Optic Phase Shifters |
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80 | |
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2.3.3 Integrated-Optic Directional Couplers |
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80 | |
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2.3.4 Integrated-Optic Amplifiers |
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83 | |
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84 | |
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85 | |
Chapter 3 Photonic Computing Processors |
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89 | |
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3.1 Incoherent Fiber-Optic Systolic Array Processors |
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90 | |
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90 | |
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3.1.2 Digital-Multiplication-by-Analog-Convolution Algorithm and Its Extended Version |
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91 | |
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3.1.2.1 Multiplication of Two Digital Numbers |
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3.1.2.2 High-Order Digital Multiplication |
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92 | |
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3.1.2.3 Sum of Products of Two Digital Numbers |
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94 | |
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3.1.2.4 Twos-Complement Binary Arithmetic |
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95 | |
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3.1.3 Elemental Optical Signal Processors |
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96 | |
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3.1.3.1 Optical Splitter and Combiner |
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96 | |
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3.1.3.2 Binary Programmable Incoherent Fiber-Optic Transversal Filter |
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98 | |
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3.1.4 Incoherent Fiber-Optic Systolic Array Processors for Digital Matrix Multiplications |
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100 | |
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3.1.4.1 Matrix–Vector Multiplication |
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3.1.4.2 Matrix–Matrix Multiplication |
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3.1.4.3 Cascaded Matrix Multiplication |
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3.1.5 Performance Comparison |
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106 | |
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3.1.5.1 Fiber-Optic Systolic Array Processors Using Nonbinary Data |
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107 | |
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3.1.5.2 High-Order Fiber-Optic Systolic Array Processors |
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109 | |
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3.2 Programmable Incoherent Newton–Cotes Optical Integrator |
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111 | |
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3.2.1 Introductory Remarks |
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3.2.2 Newton–Cotes Digital Integrators |
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112 | |
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3.2.2.1 Transfer Function |
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114 | |
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3.2.2.3 Design of a Programmable Optical Integrating Processor |
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3.2.2.4 Analysis of the FIR Fiber-Optic Signal Processor |
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120 | |
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3.2.2.5 Analysis of the IIR Fiber-Optic Signal Processor |
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121 | |
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124 | |
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129 | |
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3.3 Higher-Derivative FIR Optical Differentiators |
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129 | |
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3.3.2 Higher-Derivative FIR Digital Differentiators |
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132 | |
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3.3.3 Synthesis of Higher-Derivative FIR Optical Differentiators |
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133 | |
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3.3.4.1 First-Derivative Differentiators |
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136 | |
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3.3.4.2 Second-Derivative Differentiators |
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138 | |
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3.3.4.3 Third-Derivative Differentiators |
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140 | |
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3.3.4.4 Fourth-Derivative Differentiators |
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142 | |
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147 | |
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Appendix A: Generalized Theory of the Newton–Cotes Digital Integrators |
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149 | |
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A.1 Definition of Numerical Integration |
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149 | |
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A.2 Newton's Interpolating Polynomial |
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150 | |
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A.3 General Form of the Newton–Cotes Closed Integration Formulas |
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152 | |
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A.4 Generalized Theory of the Newton–Cotes Digital Integrators |
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153 | |
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Chapter 4 Ultrashort Pulse Photonic Generators |
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159 | |
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4.1 Optical Dark-Soliton Generator and Detectors |
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159 | |
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159 | |
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4.1.2 Optical Fiber Propagation Model |
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161 | |
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4.1.3 Design and Performance of Optical Dark-Soliton Detectors |
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162 | |
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4.1.3.1 Design of Optical Dark-Soliton Detectors |
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162 | |
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4.1.3.2 Performance of the Optical Differentiator |
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163 | |
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4.1.3.3 Performance of the Butterworth Lowpass Optical Filter |
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165 | |
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4.1.4 Design of the Optical Dark-Soliton Generator |
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166 | |
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4.1.4.1 Design of the Optical Integrator |
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4.1.4.2 Design of an Optical Dark-Soliton Generator |
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169 | |
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4.1.5 Performance of the Optical Dark-Soliton Generator and Detectors |
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171 | |
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4.1.5.1 Performance of the Optical Dark-Soliton Generator |
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171 | |
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4.1.5.2 Performance of the Combined Optical Dark-Soliton Generator and Optical Differentiator |
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172 | |
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4.1.5.3 Performance of the Combined Optical Dark-Soliton Generator and Butterworth Lowpass Optical Filter |
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174 | |
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176 | |
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4.2 Mode-Locked Ultrashort Pulse Generators |
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178 | |
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4.2.1 Regenerative Mode-Locked Fiber Lasers |
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179 | |
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4.2.2 Ultrahigh Repetition Rate Fiber Mode-Locked Lasers |
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182 | |
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4.2.2.1 Mode-Locking Techniques and Conditions for Generation of Transform Limited Pulses from a Mode-Locked Laser |
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183 | |
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4.2.2.2 Experimental Setup and Results |
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186 | |
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192 | |
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4.2.3 Active Mode-Locked Fiber Ring Laser by Rational Harmonic Detuning |
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193 | |
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4.2.3.1 Rational Harmonic Mode Locking |
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193 | |
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4.2.3.2 Experimental Setup |
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194 | |
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4.2.3.3 Phase Plane Analysis |
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195 | |
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4.2.3.4 Results and Discussion |
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199 | |
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4.2.4 Repetition Rate Multiplication Ring Laser Using Temporal Diffraction Effects |
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4.2.4.1 GVD Repetition Rate Multiplication Technique |
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206 | |
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4.2.4.2 Experimental Setup |
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207 | |
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4.2.4.3 Phase Plane Analysis |
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208 | |
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213 | |
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214 | |
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4.2.5 Multiwavelength Fiber Ring Lasers |
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218 | |
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4.2.5.2 Experimental Results and Discussion |
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222 | |
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4.2.6 Multiwavelength Tunable Fiber Ring Lasers |
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225 | |
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229 | |
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230 | |
Chapter 5 Dispersion Compensation Using Photonic Filters |
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235 | |
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5.1 Dispersion Compensation Using Optical Resonators |
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235 | |
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5.1.1 Signal-Flow Graph Application in Optical Resonators |
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237 | |
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5.1.3 Frequency and Impulse Responses |
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5.1.3.1 Frequency Response |
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5.1.3.2 Impulse and Pulse Responses |
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5.1.3.4 Circuits with Bidirectional Flow Path |
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247 | |
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5.1.4 DCDR Circuit under Temporal Incoherent Condition |
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5.1.4.1 Transfer Function of the DCDR Circuit |
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248 | |
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5.1.4.2 Circulating-Input Intensity Transfer Functions |
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250 | |
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272 | |
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5.1.5 DCDR under Coherence Operation |
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5.1.5.1 Field Analysis of the DCDR Circuit |
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273 | |
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5.1.5.2 Output–Input Field Transfer Function |
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5.1.5.3 Circulating-Input Field Transfer Functions |
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5.1.5.4 Resonance of the DCDR Circuit |
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5.1.5.5 Transient Response of the DCDR Circuit |
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5.1.6 Photonic Resonator as a Dispersion Equalizer |
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285 | |
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5.1.6.1 Group Delay and Dispersion of the DCDR Resonator |
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5.1.6.2 Optical Eigenfilter as Dispersion Compensators |
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297 | |
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5.2 Eigenfilter Design for Dispersion Compensation |
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300 | |
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5.2.1 Formulation of Dispersive Optical Fiber Channel |
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5.2.2 Formulation of Optical Dispersion Eigencompensation |
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5.2.4 Performance Comparison of Eigenfilter and Chebyshev Filter Techniques |
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5.2.5 Synthesis of Optical Dispersion Eigencompensators |
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5.2.6 IM/DD Transmission System Model |
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5.2.7 Performance Comparison of Optical Dispersion Eigencompensator and Chebyshev Optical Equalizer |
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310 | |
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5.2.8 Eigencompensated System with Parameter Deviations of the Optical Dispersion Eigencompensator |
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5.2.9 Trade-Off between Transmission Distance and Eigenfilter Bandwidth |
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5.2.10 Compensation Power of Eigencompensating Technique |
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317 | |
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319 | |
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Chapter 6 Tunable Optical Filters |
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325 | |
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325 | |
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6.2 Basic Structures of Tunable Optical Filters |
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326 | |
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6.2.1 First-Order All-Pole Optical Filter |
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326 | |
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6.2.2 First-Order All-Zero Optical Filter |
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328 | |
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6.2.3 Mth-Order Tunable Optical Filter |
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331 | |
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6.3 Tunable Optical Filters |
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332 | |
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6.3.1 Design Equations for Tunable Optical Filters |
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332 | |
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6.3.2 Design of Second-Order Butterworth Tunable Optical Filters |
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333 | |
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6.3.3 Tuning Parameters of the Lowpass and Highpass Tunable Optical Filters |
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335 | |
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6.3.4 Tuning Parameters of Bandpass and Bandstop Tunable Optical Filters |
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338 | |
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6.3.5 Summary of Tuning Parameters of Tunable Optical Filters |
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338 | |
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6.3.6 Magnitude Responses of Tunable Optical Filters with Variable Bandwidth and Fixed Center Frequency Characteristics |
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339 | |
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6.3.7 Magnitude Responses of Tunable Optical Filters with Fixed Bandwidth and Variable Center Frequency Characteristics |
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342 | |
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6.3.8 Summary of Filtering Characteristics of Tunable Optical Filters |
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342 | |
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344 | |
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6.4 An Experimental First-Order Butterworth Lowpass and Highpass Tunable Filters |
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345 | |
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347 | |
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Appendix: Fundamental Characteristics of Recursive Digital Filters |
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349 | |
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352 | |
Index |
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353 | |