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Cover image for Erbium-doped fiber amplifiers : principles and applications
Title:
Erbium-doped fiber amplifiers : principles and applications
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Publication Information:
Haboken, N.J. : John Wiley & Sons, 2002
ISBN:
9780471264347

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30000004809590 TA1667 D47 2002 Open Access Book Book
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Summary

Summary

How is light amplified in the doped fiber? How much spontaneous emission noise is generated at the output? Do detectors with optical preamplifiers outperform avalanche photodiodes? What are the current types and architectures of amplifier-based systems?

Erbium-Doped Fiber Amplifiers: Principles and Applications

These are just a handful of the essential questions answered in Erbium-Doped Fiber Amplifiers --the first book to integrate the most influential current papers on this breakthrough in fiber-optics technology. Written by one of the pioneers in the field, this unique reference provides researchers, engineers, and system designers with detailed, interdisciplinary coverage of the theoretical underpinnings, main characteristics, and primary applications of EDFAs. Packed with information on important system experiments and the best experimental results to date as well as over 1,400 references to the expanding literature, Erbium-Doped Fiber Amplifiers illuminates such key areas as:

Modeling light amplification in Er-doped single-mode fibers Fundamentals of noise in optical fiber amplifiers Photodetection of optically amplified signals Spectroscopic properties of erbium glass fibers Gain, saturation, and noise characteristics of EDFAs Device and system applications of EDFAs

In so doing, the book sheds light on many new frontiers of knowledge, such as inhomogeneous modeling and nonlinear photon statistics, and demonstrates the many broadening benefits of EDFAs, including their polarization insensitivity, temperature stability, quantum-limited noise figure, and immunity to interchannel crosstalk. With the demand for transoceanic and terrestrial communications growing at a steady rate of 25% a year, the arrival of Erbium-Doped Fiber Amplifiers --destined to significantly expand the capabilities of today's hard-pressed lightwave technology-couldn't be more timely.


Author Notes

Emmanuel Desurvire has been involved in the field of optical fiber amplifiers for nearly twenty years For his contributions to the early investigation and development of EDFAs at AT&T Bell Laboratories, he received several national and international awards, including the 1994 prize from the International Commission for Optics and, jointly with Professor D. N. Payne, the 1998 Benjamin Franklin Medal in Engineering. He is currently Director of the Alcatel Technical Academy, a corporate program that aims to recognize experts and to foster synergies in research and development. Desurvire is also the author of Erbium-Doped Fiber Amplifiers: Principles and Applications. An IEEE Fellow, he has authored or coauthored more than 200 technical publications and 30 patents


Table of Contents

List of Acronyms and Symbolsp. xv
A Fundamentals of Optical Amplification in Erbium-Doped Single-Mode Fibers
1 Modeling Light Amplification in Erbium-Doped Single-Mode Fibersp. 3
Introductionp. 3
1.1 Atomic Rate Equations for Three-level Laser Systemsp. 5
1.2 Atomic Rate Equations in Stark Split Laser Systemsp. 8
1.3 Gain Coefficient and Fiber Amplifier Gainp. 10
1.4 Amplified Spontaneous Emissionp. 16
1.5 General Rate Equations for Pump, Signal, and ASEp. 17
1.6 Numerical Resolutionp. 26
1.7 Rate Equations With Step Er-dopingp. 28
1.8 Rate Equations With Confined Er-dopingp. 33
1.9 Analytical Model for Unsaturated Gain Regimep. 36
1.10 Analytical Models for Low Gain Regimep. 40
1.11 Density Matrix Descriptionp. 46
1.12 Modeling Inhomogeneous Broadeningp. 59
2 Fundamentals of Noise in Optical Fiber Amplifiersp. 65
Introductionp. 65
2.1 Minimum Amplifier Noise and Temperaturep. 68
2.2 Quantum Description of Noisep. 72
2.3 Photon Statistics in Linear Gain Regimep. 78
2.4 Optical Signal-to-noise Ratio and Noise Figurep. 98
2.5 Lumped Amplifier Chainsp. 114
2.6 Distributed Amplifiersp. 121
2.7 Photon Statistics of Optical Amplifier Chainsp. 136
2.8 Nonlinear Photon Statisticsp. 140
3 Photodetection of Optically Amplified Signalsp. 154
Introductionp. 154
3.1 Quantum Photodetection Statisticsp. 156
3.2 Semiclassical Description of Photodetectionp. 163
3.3 Enhancement of Signal-to-noise Ratio By Optical Preamplificationp. 167
3.4 Optical Preamplification Versus Avalanche Photodetectionp. 172
3.5 Bit-error Rate and Receiver Sensitivity in Digital Direct Detectionp. 174
3.6 Bit-error Rate and Receiver Sensitivity in Digital Coherent Detectionp. 186
3.7 Digital Photodetection With Optical Amplifier Chainsp. 191
3.8 Analog Signal Photodetectionp. 195
B Characteristics of Erbium-Doped Fiber Amplifiers
4 Characteristics of Erbium-Doped Fibersp. 207
Introductionp. 207
4.1 Characteristics of Laser Glassp. 208
4.2 Fabrication of RE-doped Fibersp. 212
4.3 Energy Levels of Er[superscript 3+]:glass and Relaxation Processesp. 215
4.4 Laser Line Broadeningp. 225
4.5 Determination of Transition Cross Sectionsp. 244
4.6 Characterization of Er-doped Fiber Parametersp. 270
4.7 Pump and Signal Excited State Absorptionp. 277
4.8 Energy Transfer and Cooperative Upconversionp. 282
4.9 Refractive Index Changes and Resonant Dispersionp. 295
4.10 Effect of Pump and Signal Polarizationp. 303
5 Gain, Saturation and Noise Characteristics of Erbium-Doped Fiber Amplifiersp. 306
Introductionp. 306
5.1 Characteristics of Pump Laser Diodes and EDFA-related Optical Componentsp. 309
5.2 Gain Versus Pump Powerp. 319
5.3 Gain Versus Signal Power and Amplifier Saturationp. 337
5.4 ASE Noise and Noise Figurep. 354
5.5 Amplifier Self-saturationp. 373
5.6 Optimization of Fiber Amplifier Parametersp. 382
5.7 Amplifier Phase Noisep. 399
5.8 Effects of Reflections and Rayleigh Backscatteringp. 404
5.9 Transient Gain Dynamicsp. 410
5.10 Picosecond and Femtosecond Pulse Amplificationp. 420
5.11 Soliton Pulse Amplificationp. 422
5.12 Other Types of Fiber Amplifiersp. 440
C Device and System Applications of Erbium-Doped Fiber Amplifiers
6 Device Applications of EDFAsp. 455
Introductionp. 455
6.1 Distributed and Remotely Pumped Fiber Amplifiersp. 456
6.2 Reflective and Bidirectional Fiber Amplifiersp. 461
6.3 Automatic Gain and Power Controlp. 469
6.4 Spectral Gain Equalization and Flatteningp. 480
6.5 Optically Controlled Gates and Switchesp. 487
6.6 Recirculating Delay Linesp. 499
6.7 Fiber Lasersp. 511
7 System Applications of EDFAsp. 524
Introductionp. 524
7.1 EDFA Preamplifiersp. 527
7.2 Digital Linear Systemsp. 534
7.3 Soliton Systemsp. 559
7.4 Analog Systemsp. 568
7.5 Local Area Networksp. 574
Appendices
A Rate Equations for Stark Split Three-Level Laser Systemsp. 585
B Comparison of LP[subscript 01] Bessel Solution and Gaussian Approximation for the Fundamental Fiber Mode Envelopep. 587
C Example of Program Organization and Subroutines for Numerical Integration of General Rate Equations (1.68)p. 591
D Emission and Absorption Coefficients for Three-Level Laser Systems with Gaussian Mode Envelope Approximationp. 596
E Analytical Solutions for Pump and Signal + ASE in the Unsaturated Gain Regime, for Unidirectional and Bidirectional Pumpingp. 600
F Density Matrix Description of Stark Split Three-Level Laser Systemsp. 607
G Resolution of the Amplifier PGF Differential Equation in the Linear Gain Regimep. 614
H Calculation of the Output Noise and Variance of Lumped Amplifier Chainsp. 622
I Derivation of a General Formula for the Optical Noise Figure of Amplifier Chainsp. 624
J Derivation of the Nonlinear Photon Statistics Master Equation and Moment Equations for Two- or Three-Level Laser Systemsp. 627
K Semiclassical Determination of Noise Power Spectral Density in Amplified Light Photodetectionp. 631
L Derivation of the Absorption and Emission Cross Sections Through Einstein's A and B Coefficientsp. 634
M Calculation of Homogeneous Absorption and Emission Cross Sections by Deconvolution of Experimental Cross Sectionsp. 638
N Rate Equations for Three-Level Systems with Pump Excited State Absorptionp. 640
O Determination of Explicit Analytical Solution for a Low Gain, Unidirectionally Pumped EDFA with Single-Signal Saturationp. 644
P Determination of EDFA Excess Noise Factor in the Signal-Induced Saturation Regimep. 646
Q Average Power Analysis for Self-Saturated EDFAsp. 648
R A Computer Program for the Description of Amplifier Self-Saturation Through the Equivalent Input Noise Modelp. 651
S Finite Difference Resolution Method for Transient Gain Dynamics in EDFAsp. 655
T Analytical Solutions for Transient Gain Dynamics in EDFAsp. 658
U Derivation of the Nonlinear Schrodinger Equationp. 664
Referencesp. 668
Indexp. 749
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