Preface |
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xvii | |
Acknowledgments |
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xxi | |
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List of Fundamental Constants |
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xxiii | |
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1 | (44) |
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1 | (4) |
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1.2 Energy Levels and Bands in Solids |
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5 | (2) |
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1.3 Spontaneous and Stimulated Transitions: The Creation of Light |
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7 | (3) |
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1.4 Transverse Confinement of Carriers and Photons in Diode Lasers: The Double Heterostructure |
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10 | (3) |
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1.5 Semiconductor Materials for Diode Lasers |
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13 | (7) |
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1.6 Epitaxial Growth Technology |
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20 | (4) |
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1.7 Lateral Confinement of Current, Carriers, and Photons for Practical Lasers |
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24 | (7) |
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1.8 Practical Laser Examples |
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31 | (14) |
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39 | (1) |
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40 | (1) |
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40 | (5) |
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2 A Phenomenological Approach to Diode Lasers |
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45 | (46) |
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45 | (1) |
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2.2 Carrier Generation and Recombination in Active Regions |
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46 | (3) |
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2.3 Spontaneous Photon Generation and LEDs |
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49 | (3) |
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2.4 Photon Generation and Loss in Laser Cavities |
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52 | (3) |
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2.5 Threshold or Steady-State Gain in Lasers |
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55 | (5) |
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2.6 Threshold Current and Power Out Versus Current |
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60 | (10) |
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2.6.1 Basic P-I Characteristics |
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60 | (4) |
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2.6.2 Gain Models and Their Use in Designing Lasers |
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64 | (6) |
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2.7 Relaxation Resonance and Frequency Response |
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70 | (4) |
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2.8 Characterizing Real Diode Lasers |
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74 | (17) |
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2.8.1 Internal Parameters for In-Plane Lasers: (αi), ni, and g versus J |
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75 | (3) |
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2.8.2 Internal Parameters for VCSELs: ni and g versus J, (αi), and αm |
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78 | (1) |
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2.8.3 Efficiency and Heat Flow |
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79 | (1) |
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2.8.4 Temperature Dependence of Drive Current |
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80 | (4) |
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2.8.5 Derivative Analysis |
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84 | (2) |
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86 | (1) |
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87 | (1) |
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87 | (4) |
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3 Mirrors and Resonators for Diode Lasers |
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91 | (66) |
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91 | (1) |
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92 | (3) |
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3.3 S and T Matrices for Some Common Elements |
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95 | (12) |
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3.3.1 The Dielectric Interface |
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96 | (2) |
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3.3.2 Transmission Line with No Discontinuities |
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98 | (2) |
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3.3.3 Dielectric Segment and the Fabry-Perot Etalon |
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100 | (4) |
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3.3.4 S-Parameter Computation Using Mason's Rule |
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104 | (1) |
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105 | (2) |
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3.4 Three- and Four-Mirror Laser Cavities |
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107 | (6) |
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3.4.1 Three-Mirror Lasers |
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107 | (4) |
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111 | (2) |
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113 | (10) |
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113 | (2) |
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3.5.2 Transmission Matrix Theory of Gratings |
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115 | (6) |
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3.5.3 Effective Mirror Model for Gratings |
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121 | (2) |
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3.6 Lasers Based on DBR Mirrors |
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123 | (18) |
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123 | (1) |
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3.6.2 Threshold Gain and Power Out |
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124 | (3) |
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3.6.3 Mode Selection in DBR-Based Lasers |
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127 | (1) |
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128 | (7) |
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3.6.5 In-Plane DBR Lasers and Tunability |
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135 | (4) |
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3.6.6 Mode Suppression Ratio in DBR Laser |
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139 | (2) |
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141 | (16) |
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141 | (2) |
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3.7.2 Calculation of the Threshold Gains and Wavelengths |
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143 | (6) |
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3.7.3 On Mode Suppression in DFB Lasers |
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149 | (2) |
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151 | (1) |
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151 | (1) |
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151 | (6) |
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4 Gain and Current Relations |
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157 | (90) |
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157 | (1) |
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4.2 Radiative Transitions |
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158 | (16) |
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4.2.1 Basic Definitions and Fundamental Relationships |
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158 | (4) |
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4.2.2 Fundamental Description of the Radiative Transition Rate |
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162 | (3) |
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4.2.3 Transition Matrix Element |
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165 | (5) |
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4.2.4 Reduced Density of States |
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170 | (4) |
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4.2.5 Correspondence with Einstein's Stimulated Rate Constant |
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174 | (1) |
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174 | (18) |
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4.3.1 General Expression for Gain |
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174 | (7) |
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4.3.2 Lineshape Broadening |
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181 | (4) |
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4.3.3 General Features of the Gain Spectrum |
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185 | (2) |
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187 | (3) |
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4.3.5 Polarization and Piezoelectricity |
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190 | (2) |
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192 | (7) |
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4.4.1 Single-Mode Spontaneous Emission Rate |
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192 | (1) |
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4.4.2 Total Spontaneous Emission Rate |
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193 | (5) |
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4.4.3 Spontaneous Emission Factor |
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198 | (1) |
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198 | (1) |
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4.5 Nonradiative Transitions |
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199 | (19) |
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4.5.1 Defect and Impurity Recombination |
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199 | (3) |
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4.5.2 Surface and Interface Recombination |
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202 | (9) |
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4.5.3 Auger Recombination |
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211 | (7) |
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4.6 Active Materials and Their Characteristics |
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218 | (29) |
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4.6.1 Strained Materials and Doped Materials |
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218 | (2) |
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4.6.2 Gain Spectra of Common Active Materials |
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220 | (3) |
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4.6.3 Gain versus Carrier Density |
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223 | (4) |
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4.6.4 Spontaneous Emission Spectra and Current versus Carrier Density |
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227 | (2) |
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4.6.5 Gain versus Current Density |
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229 | (4) |
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4.6.6 Experimental Gain Curves |
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233 | (1) |
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4.6.7 Dependence on Well Width, Doping, and Temperature |
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234 | (4) |
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238 | (2) |
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240 | (1) |
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240 | (7) |
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247 | (88) |
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247 | (1) |
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248 | (9) |
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249 | (1) |
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5.2.2 Steady-State Solutions |
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250 | (1) |
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Case (i) Well Below Threshold |
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251 | (1) |
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Case (ii) Above Threshold |
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252 | (1) |
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Case (iii) Below and Above Threshold |
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253 | (2) |
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5.2.3 Steady-State Multimode Solutions |
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255 | (2) |
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5.3 Differential Analysis of the Rate Equations |
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257 | (19) |
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5.3.1 Small-Signal Frequency Response |
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261 | (5) |
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5.3.2 Small-Signal Transient Response |
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266 | (4) |
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5.3.3 Small-Signal FM Response or Frequency Chirping |
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270 | (6) |
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5.4 Large-Signal Analysis |
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276 | (12) |
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5.4.1 Large-Signal Modulation: Numerical Analysis of the Multimode Rate Equations |
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277 | (2) |
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279 | (4) |
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283 | (3) |
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5.4.4 Large-Signal Frequency Chirping |
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286 | (2) |
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5.5 Relative Intensity Noise and Linewidth |
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288 | (20) |
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5.5.1 General Definition of RIN and the Spectral Density Function |
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288 | (4) |
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5.5.2 The Schawlow-Townes Linewidth |
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292 | (2) |
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5.5.3 The Langevin Approach |
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294 | (1) |
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5.5.4 Langevin Noise Spectral Densities and RIN |
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295 | (6) |
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301 | (2) |
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303 | (5) |
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5.6 Carrier Transport Effects |
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308 | (3) |
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5.7 Feedback Effects and Injection Locking |
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311 | (24) |
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5.7.1 Optical Feedback Effects---Static Characteristics |
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311 | (6) |
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5.7.2 Injection Locking---Static Characteristics |
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317 | (3) |
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5.7.3 Injection and Feedback Dynamic Characteristics and Stability |
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320 | (1) |
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5.7.4 Feedback Effects on Laser Linewidth |
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321 | (7) |
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328 | (1) |
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329 | (1) |
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329 | (6) |
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6 Perturbation, Coupled-Mode Theory, Modal Excitations, and Applications |
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335 | (60) |
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335 | (1) |
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6.2 Guided-Mode Power and Effective Width |
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336 | (3) |
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339 | (3) |
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6.4 Coupled-Mode Theory: Two-Mode Coupling |
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342 | (34) |
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6.4.1 Contradirectional Coupling: Gratings |
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342 | (11) |
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353 | (3) |
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6.4.3 Codirectional Coupling: Directional Couplers |
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356 | (14) |
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6.4.4 Codirectional Coupler Filters and Electro-optic Switches |
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370 | (6) |
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376 | (2) |
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6.6 Two Mode Interference and Multimode Interference |
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378 | (3) |
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381 | (1) |
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6.8 Photonic Multiplexers, Demultiplexers and Routers |
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382 | (8) |
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6.8.1 Arrayed Waveguide Grating De/Multiplexers and Routers |
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383 | (6) |
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6.8.2 Echelle Grating based De/Multiplexers and Routers |
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389 | (1) |
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390 | (5) |
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390 | (1) |
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391 | (1) |
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391 | (4) |
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395 | (56) |
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395 | (1) |
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7.2 Plane Waves Incident on a Planar Dielectric Boundary |
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396 | (4) |
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7.3 Dielectric Waveguide Analysis Techniques |
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400 | (27) |
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7.3.1 Standing Wave Technique |
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400 | (3) |
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7.3.2 Transverse Resonance |
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403 | (7) |
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7.3.3 WKB Method for Arbitrary Waveguide Profiles |
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410 | (8) |
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7.3.4 2-D Effective Index Technique for Buried Rib Waveguides |
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418 | (3) |
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7.3.5 Analysis of Curved Optical Waveguides using Conformal Mapping |
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421 | (3) |
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7.3.6 Numerical Mode Solving Methods for Arbitrary Waveguide Profiles |
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424 | (3) |
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7.4 Numerical Techniques for Analyzing PICs |
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427 | (7) |
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427 | (2) |
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7.4.2 Implicit Finite-Difference Beam-Propagation Method |
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429 | (3) |
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7.4.3 Calculation of Propagation Constants in a z-invariant Waveguide from a Beam Propagation Solution |
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432 | (2) |
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7.4.4 Calculation of Eigenmode Profile from a Beam Propagation Solution |
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434 | (1) |
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7.5 Goos-Hanchen Effect and Total Internal Reflection Components |
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434 | (3) |
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7.5.1 Total Internal Reflection Mirrors |
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435 | (2) |
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7.6 Losses in Dielectric Waveguides |
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437 | (14) |
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7.6.1 Absorption Losses in Dielectric Waveguides |
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437 | (1) |
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7.6.2 Scattering Losses in Dielectric Waveguides |
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438 | (1) |
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7.6.3 Radiation Losses for Nominally Guided Modes |
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438 | (7) |
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445 | (1) |
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446 | (1) |
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446 | (5) |
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8 Photonic Integrated Circuits |
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451 | (58) |
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451 | (1) |
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8.2 Tunable, Widely Tunable, and Externally Modulated Lasers |
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452 | (32) |
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8.2.1 Two- and Three-Section In-plane DBR Lasers |
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452 | (6) |
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8.2.2 Widely Tunable Diode Lasers |
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458 | (5) |
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8.2.3 Other Extended Tuning Range Diode Laser Implementations |
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463 | (11) |
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8.2.4 Externally Modulated Lasers |
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474 | (7) |
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8.2.5 Semiconductor Optical Amplifiers |
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481 | (3) |
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484 | (1) |
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484 | (7) |
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8.3.1 Waveguide Photodetectors |
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485 | (3) |
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8.3.2 Transceivers/Wavelength Converters and Triplexers |
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488 | (3) |
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8.4 PICs for Coherent Optical Communications |
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491 | (18) |
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8.4.1 Coherent Optical Communications Primer |
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492 | (3) |
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495 | (1) |
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8.4.3 Coherent Receiver Implementations |
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495 | (3) |
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8.4.4 Vector Transmitters |
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498 | (1) |
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499 | (4) |
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503 | (1) |
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503 | (6) |
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1 Review of Elementary Solid-State Physics |
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509 | (20) |
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A1.1 A Quantum Mechanics Primer |
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509 | (1) |
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509 | (2) |
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A1.1.2 Potential Wells and Bound Electrons |
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511 | (5) |
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A1.2 Elements of Solid-State Physics |
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516 | (1) |
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A1.2.1 Electrons in Crystals and Energy Bands |
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516 | (4) |
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520 | (2) |
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A1.2.3 Density of States Using a Free-Electron (Effective Mass) Theory |
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522 | (5) |
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527 | (1) |
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527 | (2) |
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2 Relationships between Fermi Energy and Carrier Density and Leakage |
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529 | (16) |
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A2.1 General Relationships |
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529 | (3) |
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A2.2 Approximations for Bulk Materials |
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532 | (5) |
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A2.3 Carrier Leakage Over Heterobarriers |
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537 | (5) |
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A2.4 Internal Quantum Efficiency |
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542 | (2) |
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544 | (1) |
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544 | (1) |
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3 Introduction to Optical Waveguiding in Simple Double-Heterostructures |
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545 | (14) |
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545 | (1) |
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A3.2 Three-Layer Slab Dielectric Waveguide |
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546 | (1) |
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A3.2.1 Symmetric Slab Case |
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547 | (1) |
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A3.2.2 General Asymmetric Slab Case |
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548 | (2) |
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A3.2.3 Transverse Confinement Factor, Γx |
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550 | (1) |
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A3.3 Effective Index Technique for Two-Dimensional Waveguides |
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551 | (4) |
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555 | (2) |
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557 | (1) |
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557 | (2) |
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4 Density of Optical Modes, Blackbody Radiation, and Spontaneous Emission Factor |
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559 | (6) |
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A4.1 Optical Cavity Modes |
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559 | (2) |
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561 | (1) |
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A4.3 Spontaneous Emission Factor, βsp |
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562 | (1) |
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563 | (2) |
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5 Modal Gain, Modal Loss, and Confinement Factors |
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565 | (14) |
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565 | (1) |
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A5.2 Classical Definition of Modal Gain |
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566 | (2) |
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A5.3 Modal Gain and Confinement Factors |
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568 | (2) |
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570 | (1) |
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A5.5 More Exact Analysis of the Active/Passive Section Cavity |
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571 | (1) |
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A5.5.1 Axial Confinement Factor |
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572 | (1) |
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A5.5.2 Threshold Condition and Differential Efficiency |
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573 | (3) |
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A5.6 Effects of Dispersion on Modal Gain |
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576 | (3) |
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6 Einstein's Approach to Gain and Spontaneous Emission |
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579 | (14) |
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579 | (3) |
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A6.2 Einstein A and B Coefficients |
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582 | (2) |
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584 | (1) |
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585 | (4) |
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A6.5 Calculation of Spontaneous Emission Rate |
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589 | (3) |
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592 | (1) |
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7 Periodic Structures and the Transmission Matrix |
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593 | (16) |
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593 | (1) |
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A7.2 Eigenvalues and Eigenvectors |
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593 | (2) |
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A7.3 Application to Dielectric Stacks at the Bragg Condition |
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595 | (2) |
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A7.4 Application to Dielectric Stacks Away from the Bragg Condition |
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597 | (3) |
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A7.5 Correspondence with Approximate Techniques |
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600 | (1) |
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601 | (1) |
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A7.5.2 Coupled-Mode Limit |
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602 | (1) |
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A7.6 Generalized Reflectivity at the Bragg Condition |
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603 | (2) |
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605 | (1) |
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605 | (4) |
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8 Electronic States in Semiconductors |
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609 | (20) |
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609 | (1) |
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A8.2 General Description of Electronic States |
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609 | (2) |
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A8.3 Bloch Functions and the Momentum Matrix Element |
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611 | (4) |
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A8.4 Band Structure in Quantum Wells |
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615 | (1) |
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615 | (1) |
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616 | (7) |
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A8.4.3 Strained Quantum Wells |
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623 | (4) |
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627 | (1) |
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628 | (1) |
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629 | (10) |
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629 | (1) |
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A9.2 Semiclassical Derivation of the Transition Rate |
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630 | (2) |
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A9.2.1 Case I: The Matrix Element-Density of Final States Product is a Constant |
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632 | (3) |
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A9.2.2 Case II: The Matrix Element-Density of Final States Product is a Delta Function |
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635 | (1) |
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A9.2.3 Case III: The Matrix Element-Density of Final States Product is a Lorentzian |
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636 | (1) |
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637 | (1) |
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638 | (1) |
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10 Transition Matrix Element |
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639 | (8) |
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639 | (2) |
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A10.2 Polarization-Dependent Effects |
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641 | (4) |
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A10.3 Inclusion of Envelope Functions in Quantum Wells |
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645 | (1) |
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646 | (1) |
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647 | (10) |
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A11.1 General Definitions of Stress and Strain |
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647 | (3) |
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A11.2 Relationship Between Strain and Bandgap |
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650 | (5) |
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A11.3 Relationship Between Strain and Band Structure |
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655 | (1) |
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656 | (1) |
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12 Threshold Energy for Auger Processes |
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657 | (4) |
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657 | (2) |
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A12.2 CHHS and CHHL Processes |
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659 | (2) |
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661 | (14) |
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A13.1 Properties of Langevin Noise Sources |
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661 | (1) |
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A13.1.1 Correlation Functions and Spectral Densities |
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661 | (3) |
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A13.1.2 Evaluation of Langevin Noise Correlation Strengths |
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664 | (1) |
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A13.2 Specific Langevin Noise Correlations |
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665 | (1) |
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A13.2.1 Photon Density and Carrier Density Langevin Noise Correlations |
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665 | (1) |
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A13.2.2 Photon Density and Output Power Langevin Noise Correlations |
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666 | (1) |
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A13.2.3 Photon Density and Phase Langevin Noise Correlations |
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667 | (2) |
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A13.3 Evaluation of Noise Spectral Densities |
|
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669 | (1) |
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A13.3.1 Photon Noise Spectral Density |
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669 | (1) |
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A13.3.2 Output Power Noise Spectral Density |
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670 | (1) |
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A13.3.3 Carrier Noise Spectral Density |
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671 | (1) |
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672 | (1) |
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|
672 | (3) |
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14 Derivation Details for Perturbation Formulas |
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675 | (2) |
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676 | (1) |
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15 Multimode Interference |
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|
677 | (8) |
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A15.1 Multimode Interference-Based Couplers |
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677 | (1) |
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A15.2 Guided-Mode Propagation Analysis |
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678 | (1) |
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A15.2.1 General Interference |
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679 | (2) |
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A15.2.2 Restricted Multimode Interference |
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681 | (1) |
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A15.3 MMI Physical Properties |
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682 | (1) |
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|
682 | (1) |
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|
682 | (1) |
|
A15.3.3 Inherent Loss and Optical Bandwidth |
|
|
682 | (1) |
|
A15.3.4 Polarization Dependence |
|
|
683 | (1) |
|
A15.3.5 Reflection Properties |
|
|
683 | (1) |
|
|
683 | (2) |
|
16 The Electro-Optic Effect |
|
|
685 | (8) |
|
|
692 | (1) |
|
|
692 | (1) |
|
17 Solution of Finite Difference Problems |
|
|
693 | (4) |
|
|
693 | (2) |
|
A17.2 One-Dimensional Dielectric Slab Example |
|
|
695 | (1) |
|
|
696 | (1) |
Index |
|
697 | |