Fiber Optics. Physics and Technology. Bearbeitet von Fedor Mitschke

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Fiber Optics Physics and Technology Bearbeitet von Fedor Mitschke 1. Auflage 2010. Buch. x, 288 S. Hardcover ISBN 978 3 642 03702 3 Format (B x L): 15,5 x 23,5 cm Gewicht: 1370 g Weitere Fachgebiete > Technik > Sonstige Technologien, Angewandte Technik > Faseroptik Zu Leseprobe schnell und portofrei erhältlich bei Die Online-Fachbuchhandlung beck-shop.de ist spezialisiert auf Fachbücher, insbesondere Recht, Steuern und Wirtschaft. Im Sortiment finden Sie alle Medien (Bücher, Zeitschriften, CDs, ebooks, etc.) aller Verlage. Ergänzt wird das Programm durch Services wie Neuerscheinungsdienst oder Zusammenstellungen von Büchern zu Sonderpreisen. Der Shop führt mehr als 8 Millionen Produkte.

Contents I Introduction 1 1 A Quick Survey 3 II Physical Foundations 13 2 Treatment with Ray Optics 15 2.1 Waveguiding by Total Internal Reflection... 15 2.2 Step Index Fiber..... 17 2.3 ModalDispersion... 20 2.4 Gradient Index Fibers... 22 2.5 ModeCoupling... 23 2.6 Shortcomings of the Ray-Optical Treatment... 24 3 Treatment with Wave Optics 25 3.1 Maxwell s Equations... 25 3.2 Wave Equation...... 27 3.3 Linear and Nonlinear Refractive Index... 28 3.3.1 Linear Case.... 28 3.3.2 Nonlinear Case... 29 3.4 Separation of Coordinates... 30 3.5 Modes... 32 3.6 Solutions for m = 0... 35 3.7 Solutions for m = 1... 37 3.8 Solutions for m > 1... 38 3.9 Field Amplitude Distribution of the Modes... 38 3.10 Numerical Example.... 41 3.11 Number of Modes..... 42 3.12 A Remark on Microwave Waveguides... 43 3.13 Energy Transport..... 43 4 Chromatic Dispersion 47 4.1 MaterialDispersion... 48 4.1.1 Treatment with Derivatives to Wavelength... 50 4.1.2 Treatment with Derivatives to Frequency... 51 4.2 WaveguideandProfileDispersion... 53 4.3 Normal, Anomalous, and Zero Dispersion... 54 4.4 ImpactofDispersion... 55 VII

VIII Contents 4.5 Optimized Dispersion: Alternative Refractive Index Profiles... 58 4.5.1 Gradient Index Fibers... 58 4.5.2 W Fibers... 59 4.5.3 T Fibers... 61 4.5.4 Quadruple-Clad Fibers... 61 4.5.5 Dispersion-Shifted or Dispersion-Flattened?... 62 4.6 Polarization Mode Dispersion... 64 4.6.1 Quantifying Polarization Mode Dispersion... 64 4.6.2 Avoiding Polarization Mode Dispersion... 65 4.7 MicrostructuredFibers... 67 4.7.1 Holey Fibers... 69 4.7.2 Photonic Crystal Fibers... 73 4.7.3 New Possibilities... 74 5 Losses 75 5.1 LossMechanismsinGlass... 75 5.2 BendLoss... 77 5.3 OtherLosses... 79 5.4 Ultimate Reach and Possible Alternative Constructions... 80 5.4.1 Heavy Molecules... 81 5.4.2 Hollow Core Fibers... 82 5.4.3 Sapphire Fibers... 83 5.4.4 Plastic Fibers... 83 III Technical Conditions for Fiber Technology 85 6 Manufacturing and Mechanical Properties 87 6.1 GlassasaMaterial... 87 6.1.1 Historical Issues... 87 6.1.2 Structure... 88 6.1.3 How Glass Breaks... 91 6.2 ManufacturingofFibers... 93 6.2.1 Making a Preform... 93 6.2.2 Pulling Fibers from the Preform... 96 6.3 MechanicalPropertiesofFibers... 98 6.3.1 Pristine Glass... 98 6.3.2 Reduction of Structural Stability... 99 7 How to Measure Important Fiber Characteristics 101 7.1 Loss...101 7.2 Dispersion...102 7.3 GeometryofFiberStructure...106 7.4 Geometry of Amplitude Distribution..... 108 7.4.1 Near-Field Methods...108 7.4.2 Far-Field Methods...110 7.5 CutoffWavelength...112 7.6 Optical Time Domain Reflectometry (OTDR)... 114

Contents IX 8 Components for Fiber Technology 117 8.1 CableStructure...117 8.2 Preparation of Fiber Ends...119 8.3 Connections...120 8.3.1 Nonpermanent Connections...120 8.3.2 Permanent Connections...123 8.4 Elements for Spectral Manipulation...124 8.4.1 Fabry Perot Filters...124 8.4.2 Fiber Bragg Structures...124 8.5 Elements for Polarization Manipulation...125 8.5.1 Polarization Adjusters...125 8.5.2 Polarizers..... 127 8.6 Direction-Dependent Devices...128 8.6.1 Isolators...... 128 8.6.2 Circulators.... 130 8.7 Couplers...131 8.7.1 Power Splitting/Combining Couplers...131 8.7.2 Wavelength-Dependent Couplers...133 8.8 OpticalAmplifiers...134 8.8.1 Amplifiers Involving Active Fibers...135 8.8.2 Amplifiers Involving Semiconductor Devices...138 8.9 LightSources...139 8.9.1 Light from Semiconductors...139 8.9.2 Luminescent Diodes...140 8.9.3 Laser Diodes...140 8.9.4 Fiber Lasers.... 145 8.10 Optical Receivers.....145 8.10.1 Principle of pn and pin Photodiodes...146 8.10.2 Materials..... 148 8.10.3 Speed...148 8.10.4 Noise...148 8.10.5 Avalanche Diodes...149 IV Nonlinear Phenomena in Fibers 151 9 Basics of Nonlinear Processes 153 9.1 NonlinearityinFibersvs.inBulk...153 9.2 KerrNonlinearity...155 9.3 Nonlinear Wave Equation...156 9.3.1 Envelope Equation Without Dispersion...156 9.3.2 Introducing Dispersion by a Fourier Technique...158 9.3.3 The Canonical Wave Equation: NLSE... 160 9.3.4 Discussion of Contributions to the Wave Equation.... 161 9.3.5 Dimensionless NLSE...162 9.4 Solutions of the NLSE...165 9.4.1 Modulational Instability...165 9.4.2 The Fundamental Soliton...165 9.4.3 How to Excite the Fundamental Soliton...170 9.4.4 Collisions of Solitons...174

X Contents 9.4.5 Higher-Order Solitons...174 9.4.6 Dark Solitons...176 9.5 Digression: Solitons in Other Fields of Physics... 178 9.6 More χ (3) Processes...180 9.7 Inelastic Scattering Processes...182 9.7.1 Stimulated Brillouin Scattering.... 183 9.7.2 Stimulated Raman Scattering..... 188 10 A Survey of Nonlinear Processes 193 10.1 Normal Dispersion...193 10.1.1 Spectral Broadening...193 10.1.2 Pulse Compression...195 10.1.3 Chirped Amplification...195 10.1.4 Optical Wave Breaking...197 10.2 Anomalous Dispersion...199 10.2.1 Modulational Instability...199 10.2.2 Fundamental Solitons...200 10.2.3 Soliton Compression...201 10.2.4 The Soliton Laser and Additive Pulse Mode Locking... 202 10.2.5 Pulse Interaction...203 10.2.6 Self-Frequency Shift...205 10.2.7 Long-Haul Data Transmission with Solitons...207 V Technological Applications of Optical Fibers 209 11 Applications in Telecommunications 211 11.1 Fundamentals of Radio Systems Engineering...211 11.1.1 Signals...211 11.1.2 Modulation...212 11.1.3 Sampling...216 11.1.4 Coding...218 11.1.5 Multiplexing in Time and Frequency: TDM and WDM. 218 11.1.6 On and Off: RZ and NRZ...220 11.1.7 Noise...221 11.1.8 Transmission and Channel Capacity...224 11.2 Nonlinear Transmission...225 11.2.1 A Single Wavelength Channel..... 226 11.2.2 Several Wavelength Channels..... 229 11.2.3 Alternating Dispersion ( Dispersion Management )... 231 11.3 Technical Issues...234 11.3.1 Monitoring of Operations...234 11.3.2 Eye Diagrams...236 11.3.3 Filtering to Reduce Crosstalk..... 236 11.4 Telecommunication: A Growth Industry... 238 11.4.1 Historical Development...238 11.4.2 The Limits to Growth...243 12 Fiber-Optic Sensors 247 12.1 Why Sensors? Why Fiber-Optic?... 247

Contents XI 12.2 Local Measurements...249 12.2.1 Pressure Gauge...249 12.2.2 Hydrophone.... 249 12.2.3 Temperature Measurement...251 12.2.4 Dosimetry..... 252 12.3 Distributed Measurements...253 12.4 The Status Today.... 256 VI Appendices 257 A Decibel Units 259 A.1 Definition...259 A.2 AbsoluteValues...260 A.3 Possible Irritations.... 260 A.4 Beer s Attenuation and db Units...261 B Skin Effect 263 C Bessel Functions 265 C.1 Terminology for the Various Functions...265 C.2 Relations Between These Functions...266 C.3 Recursion Formulae...266 C.4 Properties of J m and K m...266 C.5 Zeroes of J 0, J 1,andJ 2...267 C.6 Graphs of the Most Frequently Used Functions...267 D Optics with Gaussian Beams 269 D.1 WhyGaussianBeams?...269 D.2 FormulaeforGaussianBeams...270 D.3 GaussianBeamsandOpticalFibers...271 E Relations for Secans Hyperbolicus 273 F Autocorrelation Measurement 275 F.1 MeasurementofUltrashortProcesses...275 F.1.1 Correlation.... 275 F.1.2 Autocorrelation...276 F.1.3 Autocorrelation Measurements...277 F.1.4 A Catalogue of Autocorrelation Shapes...278 Bibliography 281 Glossary 293 Index 299

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