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ix | |
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xv | |
Preface |
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xvii | |
Author Biography |
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xxi | |
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Chapter 1 Fundamentals of Optical Propagation |
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3 | (48) |
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1.1 Parameters and Units Used to Describe Light |
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3 | (4) |
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7 | (4) |
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1.3 Fundamental Equations of the Electromagnetic Fields and Plane Waves |
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11 | (9) |
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1.3.1 Electromagnetic Wave Equations |
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11 | (2) |
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1.3.2 Plane Wave Propagation Constant |
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13 | (4) |
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1.3.3 Propagation Velocity and Power Flow Density of a Plane Wave |
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17 | (3) |
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1.4 Reflection and Refraction of Plane Waves |
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20 | (20) |
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1.4.1 Refractive Index and Snell's Law |
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20 | (3) |
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1.4.2 Amplitude Reflectance and Power Reflectivity |
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23 | (10) |
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1.4.3 Reflection from a Metal Surface |
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33 | (2) |
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1.4.4 Total Internal Reflection |
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35 | (5) |
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1.5 Polarization and Birefringence |
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40 | (4) |
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1.6 Propagation of a Plane Wave in a Medium with Gain and Absorption Loss |
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44 | (3) |
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1.7 Wave Front and Light Rays |
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47 | (4) |
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Chapter 2 Fundamentals of Optical Waveguides |
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51 | (28) |
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2.1 Free-Space Waves and Guided Waves |
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51 | (1) |
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2.2 Guided Mode and Eigenvalue Equations |
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52 | (3) |
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2.3 Eigenmode and Dispersion Curves |
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55 | (4) |
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2.4 Electromagnetic Distribution and Eigenmode Expansion |
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59 | (8) |
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2.5 Fundamental Properties of Multimode Waveguides |
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67 | (2) |
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2.6 Transmission Band of Multimode Waveguide |
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69 | (10) |
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2.6.1 Phase Velocity and Group Velocity |
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70 | (3) |
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2.6.2 Pulse Propagation and Frequency Response in Multimode Waveguides |
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73 | (6) |
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Chapter 3 Propagation of Light Beams in Free Space |
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79 | (24) |
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3.1 Representation of Spherical Waves and the Diffraction Phenomenon |
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79 | (6) |
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3.2 Fresnel Diffraction and Fraunhofer Diffraction |
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85 | (2) |
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3.3 Fraunhofer Diffraction of a Gaussian Beam |
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87 | (7) |
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3.4 Wave Front Transformation Effect of the Lens |
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94 | (6) |
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3.5 Fourier Transform with Lenses |
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100 | (3) |
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Chapter 4 Interference and Resonators |
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103 | (28) |
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4.1 Principle of Two-Beam Interference |
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103 | (3) |
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106 | (8) |
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4.3 Various Interferometers |
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114 | (5) |
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4.4 Diffraction by Gratings |
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119 | (3) |
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4.5 Multilayer Thin Film Interference |
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122 | (9) |
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Part II Description of Light Propagation through Electromagnetism |
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Chapter 5 Guided Wave Optics |
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131 | (48) |
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5.1 General Concept of the Guided Modes |
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134 | (21) |
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5.1.1 Wave Equations and Boundary Conditions |
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134 | (3) |
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5.1.2 Classification of Eigenmodes and Propagation Constants |
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137 | (6) |
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5.1.3 Electromagnetic Field Distribution, Near-Field Pattern, and Spot Size |
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143 | (2) |
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5.1.4 Mode Orthogonality and Eigenmode Expansion |
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145 | (3) |
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5.1.5 Far-Field Pattern and Numerical Aperture |
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148 | (1) |
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5.1.6 Optical Confinement Factor |
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149 | (5) |
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5.1.7 Single-Mode Condition and Mode Number |
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154 | (1) |
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5.2 Fundamental Structure and Mode of the Optical Waveguide |
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155 | (24) |
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5.2.1 Two-Dimensional Slab Waveguide |
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155 | (16) |
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5.2.2 Three-Dimensional Waveguides |
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171 | (8) |
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179 | (56) |
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181 | (22) |
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6.1.1 Eigenvalue Equations of Optical Fibers |
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181 | (4) |
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6.1.2 Weakly Guiding Approximation |
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185 | (1) |
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6.1.3 Classification of Modes |
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185 | (2) |
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6.1.4 LP Mode and Dispersion Curves |
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187 | (2) |
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6.1.5 Fundamental Mode and Single-Mode Fibers |
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189 | (4) |
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6.1.6 Polarization Properties of Single-Mode Fibers and Polarization-Maintaining Fiber |
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193 | (3) |
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6.1.7 Distributed Index Single-Mode Fibers |
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196 | (1) |
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6.1.8 Distributed Index Multimode Fibers |
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197 | (6) |
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6.2 Signal Propagation in Optical Fiber |
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203 | (20) |
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6.2.1 Group Delay and Dispersion |
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203 | (8) |
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6.2.2 Dispersion in Single-Mode Optical Fibers |
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211 | (7) |
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6.2.3 Transmission Bandwidth of Single-Mode Fibers |
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218 | (4) |
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6.2.4 Dispersion-Shifted Fiber and Dispersion Compensation |
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222 | (1) |
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6.3 Transmission Characteristics of Distributed Index Multimode Fibers |
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223 | (5) |
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6.3.1 Group Delay of Multimode Optical Fibers |
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224 | (1) |
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6.3.2 Transmission Capacity of α-Power Profile Fibers |
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225 | (3) |
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6.4 Optical Fiber Communication |
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228 | (7) |
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Chapter 7 Propagation and Focusing of the Beam |
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235 | (16) |
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235 | (2) |
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7.2 Propagation of the Gaussian Beam |
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237 | (2) |
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7.3 Wave Coefficient and Matrix Formalism |
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239 | (3) |
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7.4 Propagation of Non-Gaussian Beam |
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242 | (2) |
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7.5 Calculation Formula for Spot Size |
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244 | (5) |
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7.6 Representation by Diffraction Integral |
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249 | (2) |
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Chapter 8 Basic Optical Waveguide Circuit |
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251 | (42) |
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8.1 Coupling by Cascade Connection of Optical Waveguides |
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251 | (8) |
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8.1.1 General Formula for Coupling Efficiency |
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251 | (3) |
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8.1.2 Misalignment Loss Characteristic by Gaussian Approximation |
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254 | (3) |
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8.1.3 Conditions for the Low Loss Connection of Optical Waveguides |
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257 | (2) |
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8.2 Optical Coupling between Parallel Waveguides |
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259 | (4) |
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8.3 Merging and Branching of Optical Waveguides |
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263 | (8) |
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8.3.1 Merging and Branching of Multimode Waveguides |
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263 | (4) |
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8.3.2 Merging and Branching of Single-Mode Waveguides |
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267 | (4) |
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8.4 Resonators and Effective Index |
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271 | (2) |
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273 | (4) |
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8.6 Polarization Characteristics |
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277 | (3) |
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8.7 Description of the Optical Circuit by Scattering Matrix and Transmission Matrix |
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280 | (8) |
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8.8 Analysis of an Optical Waveguide, Including Structure Changes in Propagation Axis Direction |
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288 | (5) |
Appendix A Fourier Transform Formulas |
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293 | (4) |
Appendix B Characteristics of the Delta Function |
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297 | (2) |
Appendix C Derivation of Green's Theorem |
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299 | (2) |
Appendix D Vector Analysis Formula |
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301 | (2) |
Appendix E Infinite Integral of Gaussian Function |
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303 | (2) |
Appendix F Cylindrical Functions |
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305 | (2) |
Appendix G Hermite---Gaussian Functions |
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307 | (2) |
Appendix H Derivation of the Orthogonality of the Eigenmode |
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309 | (4) |
Appendix I Lorentz Reciprocity Theorem |
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313 | (2) |
Appendix J WKB Method |
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315 | (2) |
Appendix K Derivation of the Petermann's Formula for the Optical Fiber Spot Size |
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317 | (2) |
Appendix L Derivation of the Coupling Mode Equation |
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319 | (8) |
Appendix M General Solution of the Coupled Mode Equation |
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327 | (6) |
Appendix N Perturbation Theory |
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333 | (4) |
Bibliography |
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337 | (4) |
Index |
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341 | |