Dedication |
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v | |
Author Biography |
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vii | |
Preface |
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xix | |
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1 | (26) |
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1.1 Historical Perspective |
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1 | (2) |
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1.2 Fiber Characteristics |
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3 | (12) |
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1.2.1 Material and Fabrication |
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4 | (1) |
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5 | (1) |
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1.2.3 Chromatic Dispersion |
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6 | (5) |
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1.2.4 Polarization-Mode Dispersion |
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11 | (4) |
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15 | (4) |
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1.3.1 Nonlinear Refraction |
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15 | (1) |
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1.3.2 Stimulated Inelastic Scattering |
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16 | (2) |
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1.3.3 Importance of Nonlinear Effects |
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18 | (1) |
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19 | (8) |
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21 | (1) |
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22 | (5) |
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Chapter 2 Pulse Propagation in Fibers |
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27 | (30) |
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27 | (3) |
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30 | (4) |
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2.2.1 Eigenvalue Equation |
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30 | (1) |
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2.2.2 Single-Mode Condition |
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31 | (1) |
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2.2.3 Characteristics of the Fundamental Mode |
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32 | (2) |
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2.3 Pulse-Propagation Equation |
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34 | (13) |
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2.3.1 Nonlinear Pulse Propagation |
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34 | (5) |
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2.3.2 Higher-Order Nonlinear Effects |
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39 | (2) |
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2.3.3 Raman Response Function and its Impact |
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41 | (4) |
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2.3.4 Extension to Multimode Fibers |
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45 | (2) |
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47 | (10) |
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2.4.1 Split-Step Fourier Method |
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47 | (4) |
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2.4.2 Finite-Difference Methods |
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51 | (1) |
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52 | (1) |
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53 | (4) |
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Chapter 3 Group-Velocity Dispersion |
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57 | (30) |
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3.1 Different Propagation Regimes |
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57 | (2) |
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3.2 Dispersion-Induced Pulse Broadening |
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59 | (9) |
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60 | (2) |
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3.2.2 Chirped Gaussian Pulses |
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62 | (2) |
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3.2.3 Hyperbolic-Secant Pulses |
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64 | (1) |
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3.2.4 Super-Gaussian Pulses |
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65 | (2) |
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3.2.5 Experimental Results |
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67 | (1) |
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3.3 Third-Order Dispersion |
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68 | (10) |
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3.3.1 Evolution of Chirped Gaussian Pulses |
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69 | (2) |
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71 | (3) |
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3.3.3 Arbitrary-Shape Pulses |
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74 | (2) |
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3.3.4 Ultrashort-Pulse Measurements |
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76 | (2) |
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3.4 Dispersion Management |
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78 | (9) |
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3.4.1 GVD-Induced Limitations |
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78 | (2) |
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3.4.2 Dispersion Compensation |
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80 | (1) |
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3.4.3 Compensation of Third-Order Dispersion |
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81 | (2) |
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83 | (1) |
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84 | (3) |
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Chapter 4 Self-Phase Modulation |
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87 | (42) |
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4.1 SPM-Induced Spectral Changes |
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87 | (11) |
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4.1.1 Nonlinear Phase Shift |
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88 | (2) |
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4.1.2 Changes in Pulse Spectra |
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90 | (3) |
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4.1.3 Effect of Pulse Shape and Initial Chirp |
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93 | (3) |
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4.1.4 Effect of Partial Coherence |
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96 | (2) |
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4.2 Effect of Group-Velocity Dispersion |
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98 | (13) |
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98 | (2) |
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100 | (2) |
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4.2.3 Optical Wave Breaking |
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102 | (3) |
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4.2.4 Experimental Results |
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105 | (1) |
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4.2.5 Effect of Third-Order Dispersion |
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106 | (2) |
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4.2.6 SPM Effects in Fiber Amplifiers |
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108 | (3) |
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4.3 Semianalytic Techniques |
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111 | (4) |
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111 | (1) |
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112 | (2) |
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4.3.3 Specific Analytic Solutions |
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114 | (1) |
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4.4 Higher-Order Nonlinear Effects |
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115 | (14) |
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116 | (3) |
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4.4.2 Effect of GVD on Optical Shocks |
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119 | (2) |
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4.4.3 Intrapulse Raman Scattering |
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121 | (3) |
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124 | (1) |
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125 | (4) |
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Chapter 5 Optical Solitons |
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129 | (64) |
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5.1 Modulation Instability |
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129 | (10) |
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5.1.1 Linear Stability Analysis |
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130 | (1) |
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131 | (2) |
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5.1.3 Experimental Results |
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133 | (2) |
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5.1.4 Ultrashort Pulse Generation |
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135 | (2) |
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5.1.5 Impact on Lightwave Systems |
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137 | (2) |
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139 | (12) |
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5.2.1 Inverse Scattering Method |
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140 | (2) |
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5.2.2 Fundamental Soliton |
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142 | (2) |
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5.2.3 Second and Higher-Order Solitons |
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144 | (3) |
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5.2.4 Experimental Confirmation |
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147 | (1) |
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148 | (3) |
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5.3 Other Types of Solitons |
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151 | (8) |
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151 | (3) |
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154 | (2) |
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5.3.3 Dispersion-Managed Solitons |
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156 | (1) |
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5.3.4 Optical Similaritons |
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156 | (3) |
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5.4 Perturbation of Solitons |
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159 | (11) |
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5.4.1 Perturbation Methods |
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159 | (2) |
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161 | (2) |
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5.4.3 Soliton Amplification |
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163 | (3) |
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5.4.4 Soliton Interaction |
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166 | (4) |
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170 | (23) |
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5.5.1 Moment Equations for Pulse Parameters |
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170 | (2) |
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5.5.2 Third-Order Dispersion |
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172 | (2) |
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174 | (2) |
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5.5.4 Intrapulse Raman Scattering |
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176 | (5) |
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5.5.5 Propagation of Femtosecond Pulses |
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181 | (2) |
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183 | (1) |
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184 | (9) |
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Chapter 6 Polarization Effects |
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193 | (52) |
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6.1 Nonlinear Birefringence |
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193 | (6) |
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6.1.1 Origin of Nonlinear Birefringence |
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194 | (2) |
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6.1.2 Coupled-Mode Equations |
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196 | (1) |
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6.1.3 Elliptically Birefringent Fibers |
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197 | (2) |
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6.2 Nonlinear Phase Shift |
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199 | (7) |
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199 | (1) |
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6.2.2 Optical Kerr Effect |
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200 | (4) |
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204 | (2) |
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6.3 Evolution of Polarization State |
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206 | (9) |
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207 | (2) |
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6.3.2 Poincare-Sphere Representation |
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209 | (3) |
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6.3.3 Polarization Instability |
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212 | (2) |
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214 | (1) |
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6.4 Vector Modulation Instability |
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215 | (9) |
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6.4.1 Low-Birefringence Fibers |
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215 | (3) |
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6.4.2 High-Birefringence Fibers |
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218 | (2) |
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220 | (1) |
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6.4.4 Experimental Results |
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221 | (3) |
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6.5 Birefringence and Solitons |
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224 | (9) |
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6.5.1 Low-Birefringence Fibers |
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225 | (1) |
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6.5.2 High-Birefringence Fibers |
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226 | (3) |
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6.5.3 Soliton-Dragging Logic Gates |
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229 | (1) |
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230 | (3) |
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233 | (12) |
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6.6.1 Polarization-Mode Dispersion |
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233 | (1) |
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6.6.2 Vector Form of the NLS Equation |
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234 | (2) |
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6.6.3 Effects of PMD on Solitons |
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236 | (3) |
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239 | (1) |
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240 | (5) |
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Chapter 7 Cross-Phase Modulation |
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245 | (50) |
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7.1 XPM-Induced Nonlinear Coupling |
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246 | (2) |
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7.1.1 Nonlinear Refractive Index |
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246 | (1) |
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7.1.2 Coupled NLS Equations |
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247 | (1) |
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7.2 XPM-Induced Modulation Instability |
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248 | (4) |
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7.2.1 Linear Stability Analysis |
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249 | (2) |
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7.2.2 Experimental Results |
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251 | (1) |
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252 | (6) |
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7.3.1 Bright-Dark Soliton Pair |
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252 | (2) |
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7.3.2 Bright-Gray Soliton Pair |
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254 | (1) |
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255 | (1) |
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7.3.4 Multiple Coupled NLS Equations |
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256 | (2) |
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7.4 Spectral and Temporal Effects |
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258 | (10) |
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7.4.1 Asymmetric Spectral Broadening |
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259 | (5) |
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7.4.2 Asymmetric Temporal Changes |
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264 | (3) |
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7.4.3 Higher-Order Nonlinear Effects |
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267 | (1) |
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268 | (6) |
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7.5.1 XPM-Induced Pulse Compression |
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268 | (2) |
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7.5.2 XPM-Induced Optical Switching |
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270 | (2) |
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7.5.3 XPM-Induced Nonreciprocity |
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272 | (2) |
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274 | (10) |
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7.6.1 Vector Theory of XPM |
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274 | (1) |
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7.6.2 Polarization Evolution |
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275 | (3) |
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7.6.3 Polarization-Dependent Spectral Broadening |
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278 | (2) |
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7.6.4 Pulse Trapping and Compression |
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280 | (2) |
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7.6.5 XPM-Induced Wave Breaking |
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282 | (2) |
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7.7 XPM Effects in Birefringent Fibers |
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284 | (11) |
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7.7.1 Fibers with Low Birefringence |
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284 | (3) |
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7.7.2 Fibers with High Birefringence |
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287 | (2) |
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289 | (1) |
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290 | (5) |
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Chapter 8 Stimulated Raman Scattering |
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295 | (58) |
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295 | (10) |
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8.1.1 Raman-Gain Spectrum |
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296 | (1) |
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297 | (3) |
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8.1.3 Coupled Amplitude Equations |
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300 | (3) |
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8.1.4 Effect of Four-Wave Mixing |
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303 | (2) |
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305 | (11) |
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8.2.1 Single-Pass Raman Generation |
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305 | (2) |
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307 | (3) |
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8.2.3 Raman Fiber Amplifiers |
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310 | (5) |
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8.2.4 Raman-Induced Crosstalk |
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315 | (1) |
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8.3 SRS with Short Pump Pulses |
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316 | (15) |
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8.3.1 Pulse-Propagation Equations |
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317 | (1) |
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318 | (2) |
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320 | (3) |
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8.3.4 Raman-Induced Index Changes |
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323 | (2) |
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8.3.5 Experimental Results |
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325 | (3) |
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8.3.6 Synchronously Pumped Raman Lasers |
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328 | (2) |
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8.3.7 Short-Pulse Raman Amplification |
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330 | (1) |
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331 | (8) |
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331 | (4) |
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8.4.2 Raman Soliton Lasers |
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335 | (3) |
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8.4.3 Soliton-Effect Pulse Compression |
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338 | (1) |
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339 | (14) |
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8.5.1 Vector Theory of Raman Amplification |
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339 | (4) |
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8.5.2 PMD Effects on Raman Amplification |
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343 | (3) |
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346 | (1) |
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347 | (6) |
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Chapter 9 Stimulated Brillouin Scattering |
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353 | (44) |
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353 | (5) |
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354 | (1) |
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9.1.2 Brillouin-Gain Spectrum |
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354 | (4) |
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358 | (8) |
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9.2.1 Brillouin Threshold |
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358 | (1) |
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9.2.2 Polarization Effects |
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359 | (1) |
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9.2.3 Techniques for Controlling the SBS Threshold |
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360 | (3) |
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9.2.4 Experimental Results |
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363 | (3) |
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9.3 Brillouin-Fiber Amplifiers |
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366 | (4) |
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366 | (1) |
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9.3.2 Amplifier Design and Applications |
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367 | (3) |
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370 | (14) |
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9.4.1 Coupled Amplitude Equations |
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370 | (2) |
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9.4.2 SBS with Q-Switched Pulses |
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372 | (4) |
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9.4.3 SBS-Induced Index Changes |
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376 | (4) |
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9.4.4 Relaxation Oscillations |
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380 | (2) |
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9.4.5 Modulation Instability and Chaos |
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382 | (2) |
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9.5 Brillouin-Fiber Lasers |
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384 | (13) |
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384 | (4) |
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388 | (3) |
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391 | (1) |
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392 | (5) |
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Chapter 10 Four-Wave Mixing |
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397 | (60) |
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10.1 Origin of Four-Wave Mixing |
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397 | (2) |
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10.2 Theory of Four-Wave Mixing |
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399 | (6) |
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10.2.1 Coupled Amplitude Equations |
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400 | (1) |
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10.2.2 Approximate Solution |
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401 | (1) |
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10.2.3 Effect of Phase Matching |
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402 | (2) |
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10.2.4 Ultrafast Four-Wave Mixing |
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404 | (1) |
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10.3 Phase-Matching Techniques |
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405 | (12) |
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10.3.1 Physical Mechanisms |
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405 | (1) |
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10.3.2 Phase Matching in Multimode Fibers |
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406 | (3) |
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10.3.3 Phase Matching in Single-Mode Fibers |
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409 | (5) |
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10.3.4 Phase Matching in Birefringent Fibers |
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414 | (3) |
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10.4 Parametric Amplification |
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417 | (14) |
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10.4.1 Review of Early Work |
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417 | (1) |
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10.4.2 Gain Spectrum and Its Bandwidth |
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418 | (3) |
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10.4.3 Single-Pump Configuration |
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421 | (4) |
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10.4.4 Dual-Pump Configuration |
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425 | (5) |
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10.4.5 Effects of Pump Depletion |
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430 | (1) |
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10.5 Polarization Effects |
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431 | (12) |
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10.5.1 Vector Theory of Four-Wave Mixing |
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432 | (2) |
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10.5.2 Polarization Dependence of Parametric Gain |
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434 | (3) |
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10.5.3 Linearly and Circularly Polarized Pumps |
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437 | (2) |
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10.5.4 Effect of Residual Fiber Birefringence |
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439 | (4) |
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10.6 Applications of Four-Wave Mixing |
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443 | (14) |
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10.6.1 Parametric Oscillators |
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443 | (2) |
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10.6.2 Ultrafast Signal Processing |
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445 | (2) |
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10.6.3 Quantum Correlation and Noise Squeezing |
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447 | (2) |
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10.6.4 Phase-Sensitive Amplification |
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449 | (2) |
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451 | (1) |
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452 | (5) |
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Chapter 11 Highly Nonlinear Fibers |
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457 | (40) |
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457 | (10) |
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11.1.1 Units and Values of n2 |
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458 | (1) |
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11.1.2 SPM-Based Techniques |
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459 | (3) |
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11.1.3 XPM-Based Technique |
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462 | (1) |
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11.1.4 FWM-Based Technique |
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463 | (1) |
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11.1.5 Variations in n2 Values |
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464 | (3) |
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11.2 Fibers with Silica Cladding |
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467 | (2) |
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11.3 Tapered Fibers with Air Cladding |
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469 | (5) |
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11.4 Microstructured Fibers |
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474 | (7) |
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11.4.1 Design and Fabrication |
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474 | (2) |
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11.4.2 Modal and Dispersive Properties |
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476 | (2) |
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11.4.3 Hollow-Core Photonic Crystal Fibers |
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478 | (2) |
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480 | (1) |
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481 | (6) |
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11.5.1 Lead-Silicate Fibers |
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482 | (3) |
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11.5.2 Chalcogenide Fibers |
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485 | (1) |
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11.5.3 Bismuth-Oxide Fibers |
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486 | (1) |
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11.6 Pulse Propagation in Narrow-Core Fibers |
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487 | (10) |
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487 | (2) |
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11.6.2 Frequency-Dependent Mode Profiles |
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489 | (2) |
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491 | (1) |
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492 | (5) |
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Chapter 12 Novel Nonlinear Phenomena |
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497 | (56) |
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12.1 Soliton Fission and Dispersive Waves |
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497 | (9) |
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12.1.1 Fission of Second- and Higher-Order Solitons |
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498 | (3) |
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12.1.2 Generation of Dispersive Waves |
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501 | (5) |
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12.2 Intrapulse Raman Scattering |
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506 | (20) |
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12.2.1 Enhanced RIFS Through Soliton Fission |
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506 | (4) |
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12.2.2 Cross-correlation Technique |
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510 | (2) |
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12.2.3 Wavelength Tuning through RIFS |
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512 | (2) |
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12.2.4 Effects of Birefringence |
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514 | (2) |
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12.2.5 Suppression of Raman-Induced Frequency Shifts |
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516 | (4) |
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12.2.6 Soliton Dynamics Near a Zero-Dispersion Wavelength |
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520 | (3) |
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12.2.7 Multipeak Raman Solitons |
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523 | (3) |
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526 | (8) |
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12.3.1 Role of Fourth-Order Dispersion |
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526 | (1) |
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12.3.2 Role of Fiber Birefringence |
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527 | (4) |
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12.3.3 Parametric Amplifiers and Wavelength Converters |
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531 | (1) |
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12.3.4 Tunable Fiber-Optic Parametric Oscillators |
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532 | (2) |
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12.4 Second-Harmonic Generation |
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534 | (7) |
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12.4.1 Physical Mechanisms |
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534 | (2) |
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12.4.2 Thermal Poling and Quasi-Phase Matching |
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536 | (3) |
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539 | (2) |
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12.5 Third-Harmonic Generation |
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541 | (12) |
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12.5.1 THG in Highly Nonlinear Fibers |
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541 | (2) |
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12.5.2 Effects of Group-Velocity Mismatch |
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543 | (2) |
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12.5.3 Effects of Fiber Birefringence |
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545 | (1) |
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546 | (1) |
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547 | (6) |
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Chapter 13 Supercontinuum Generation |
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553 | (60) |
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13.1 Pumping with Picosecond Pulses |
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553 | (6) |
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13.1.1 Nonlinear Mechanisms |
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554 | (2) |
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13.1.2 Experimental Progress After 2000 |
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556 | (3) |
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13.2 Pumping with Femtosecond Pulses |
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559 | (7) |
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13.2.1 Microstructured Silica Fibers |
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559 | (4) |
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13.2.2 Microstructured Nonsilica Fibers |
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|
563 | (3) |
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13.3 Temporal and Spectral Evolutions |
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|
566 | (13) |
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13.3.1 Numerical Modeling of Supercontinuum |
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|
566 | (4) |
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13.3.2 Role of Cross-Phase Modulation |
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570 | (3) |
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13.3.3 XPM-Induced Trapping |
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573 | (4) |
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13.3.4 Role of Four-Wave Mixing |
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|
577 | (2) |
|
13.4 CW or Quasi-CW Pumping |
|
|
579 | (6) |
|
13.4.1 Nonlinear Mechanisms |
|
|
579 | (3) |
|
13.4.2 Experimental Progress |
|
|
582 | (3) |
|
13.5 Polarization Effects |
|
|
585 | (5) |
|
13.5.1 Birefringent Microstructured Fibers |
|
|
586 | (1) |
|
13.5.2 Nearly Isotropic Fibers |
|
|
587 | (2) |
|
13.5.3 Nonlinear Polarization Rotation in Isotropic Fibers |
|
|
589 | (1) |
|
13.6 Coherence Properties |
|
|
590 | (8) |
|
13.6.1 Spectral-Domain Degree of Coherence |
|
|
591 | (3) |
|
13.6.2 Techniques for Improving Coherence |
|
|
594 | (2) |
|
13.6.3 Spectral Incoherent Solitons |
|
|
596 | (2) |
|
|
598 | (15) |
|
13.7.1 L-Shaped Statistics of Pulse-to-Pulse Fluctuations |
|
|
599 | (1) |
|
13.7.2 Techniques for Controlling Rogue-Wave Statistics |
|
|
600 | (2) |
|
13.7.3 Modulation Instability Revisited |
|
|
602 | (4) |
|
|
606 | (1) |
|
|
607 | (6) |
Appendix A System of Units |
|
613 | (2) |
Appendix B Numerical Code for the NLS Equation |
|
615 | (4) |
Appendix C List of Acronyms |
|
619 | (2) |
Index |
|
621 | |