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Optical Network Theory : Optoelectronics Library - Yitzhak Weissman

Optical Network Theory

Optoelectronics Library

Hardcover Published: 19th February 1992
ISBN: 9780890065099
Number Of Pages: 292

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This reference blends the concepts of optics and microwave theory. It is logically organized in two main parts, the first section deals with network analysis, while the second concentrates on signal analysis. As a whole, the text focuses on the fundamental aspects of optical networks. Methodology, rather than analysis, is the focus of the book. The discussion provides the tools you need to perform your own in-depth analysis of optical networks.

Network Analysisp. 1
Introductionp. 3
Why Optical Networks Are Different From Microwave Networksp. 3
To Whom This Book Is Addressedp. 5
Book Overviewp. 6
Network Analysisp. 6
Signal Analysisp. 8
The Scope of the Bookp. 10
Mathematical Notations and Conventionsp. 11
List of Principal Symbolsp. 14
The Jones Calculus of Guided Fieldsp. 17
The Jones Vectors for Guided Fieldsp. 18
Jones Matricesp. 20
The Jones Matrix as a Transfer Function of a Linear Systemp. 22
The Fourier Representation of Cyclic Jones Matricesp. 24
Examples of Cyclic Jones Matricesp. 27
Summaryp. 31
S-Matrix Characterization of Optical Componentsp. 33
The Jones Matrix and the S-Matrix (the Time-Independent Case)p. 34
General Properties of the S-Matrixp. 36
The S-Matrices of Some Common Optical Componentsp. 38
One-Port Componentsp. 38
Two-Port Componentsp. 39
Directional Couplersp. 40
Port Characterization of Time-Dependent Componentsp. 42
Summaryp. 43
The Signal Flow Graphs in Network Analysisp. 45
General Considerationsp. 46
Signal Flow Graphsp. 48
The Signal Flow Graph as a Graphical Representation of Linear Algebraic Equationsp. 48
The Association of Algebraic Equations With a Given Signal Flow Graphp. 50
The Network Algebrap. 51
The Signal Flow Graphs of Optical Componentsp. 53
Single-Port Componentsp. 53
N-Port Componentsp. 54
Two-Port Componentp. 55
Directional Couplersp. 56
The Derivation of Signal Flow Graphs for Optical Networksp. 57
Graphical Reduction Rules for the Optical Signal Flow Graphsp. 60
Branches in Seriesp. 61
Branches in Parallelp. 62
Elimination of a Feedback Branchp. 63
Expansion of Starsp. 67
Summaryp. 67
The Analysis of Time-Independent Networksp. 69
The Network Algebra Rules for the Time-Independent Casep. 70
The Guided-Wave Fabry-Perot Interferometerp. 71
The Recirculating Loopp. 74
The Guided-Wave Mach-Zehnder Interferometerp. 78
The Guided-Wave Michelson Interferometerp. 80
The Algebraic Solution of the Time-Independent Network Problemp. 82
Summaryp. 83
The Analysis of Networks That Are Periodic in Timep. 85
Network Algebra Rules for Cyclic Transmissions With Identical Periodsp. 86
Preservation of the Periodic Time Dependence Upon Addition and Multiplicationp. 86
The Network Algebra Addition Operation in the Frequency Domainp. 87
The Network Algebra Product Operation in the Frequency Domainp. 88
Operations Between Time-Invariant and Cyclic Transmissionsp. 89
Serial Combination of Transmissions Representing Amplitude Modulators, Frequency Shifters, and Phase Modulators (Examples)p. 90
The Transfer Matrix of an Instantaneous Modulator With Leadsp. 90
Two Amplitude Modulators in Seriesp. 92
Combination of Frequency Shifters in Seriesp. 93
Combination of Phase Modulators in Seriesp. 94
The Modulated Mach-Zehnder Interferometer (Example)p. 97
The Treatment of a Feedback Branchp. 98
The General Procedurep. 98
Feedback Branches Containing Instantaneous Modulatorsp. 101
The Modulated Recirculating Loopp. 102
The Combination of Two Transmissions with Commensurate Frequenciesp. 105
Summaryp. 105
Network Analysis of the Fiber-Optic Gyrop. 109
The Sagnac Effect in the Rotating Fiber-Optic Ringp. 110
A Basic Fiber-Optic Sagnac Interferometerp. 112
Problems Arising From Birefringence and Mode Mixingp. 114
Problems Arising From Coupler Lossesp. 119
A Practical Fiber-Optic Gyrop. 120
The Introduction of Bias by Phase Modulationp. 122
Summaryp. 124
Signal Analysisp. 127
The Second-Order Statistics of Guided Fieldsp. 129
Real Stochastic Processesp. 130
The Characterization of a Real Stochastic Processp. 130
Stationary and Cyclostationary Processes and Their Power Spectral Densitiesp. 131
A Harmonic Process With a Random Amplitude (Example)p. 134
Ensemble Averages, Time Averages, and Ergodicityp. 136
Complex Stochastic Processesp. 137
Characterization of a Complex Stochastic Processp. 137
A Superposition of Pure Spectral Lines With Random Amplitudes (Example)p. 138
The Second-Order Field Correlation Functions and the Optical Field Power Spectrump. 139
Statistical Description of Jones Vectorsp. 139
The Second-Order Statistics of Guided Fieldsp. 140
Optical Field Intensity and Spectrump. 142
The Separable Fieldp. 143
Representation of a Real Jones Vector by a Complex Onep. 144
The Real Jones Vector and Its Associated Complex Jones Vectorp. 144
The Relation Between Coherency Matrices and Power Spectra of Real and Complex Processesp. 146
Statistical Model of an Amplitude-Stabilized Laserp. 147
Summaryp. 153
The Fourth-Order Statistics and the Optical Intensity Power Spectrump. 155
The Fourth-Order Field Correlation Functionsp. 156
General Propertiesp. 156
The Frequency-Domain Representation of a Function of Four Variables Which Is Independent of Their Sump. 158
The Auxiliary Correlation Functionsp. 159
The Frequency-Domain Representation of the Fourth-Order Correlation Functionsp. 160
Special Casesp. 162
Polarized and Unpolarized Fieldsp. 162
Separable Fieldp. 162
Gaussian Fieldp. 163
The Random-Phase Fieldp. 164
The Optical Intensity Power Spectrump. 167
The Time-Domain Representation of the Optical Intensity Power Spectrump. 167
The Intensity Noise Power Spectrum and the Intensity Variancep. 168
The Frequency-Domain Representationp. 170
Special Casesp. 172
The Optical Intensity Power Spectrum of a Real Field and Its Associated Complex Fieldp. 173
The Relative Intensity Noise Power Spectrump. 176
A Comparison Between Field-Induced Noise and Shot Noisep. 177
Summaryp. 181
The Output Intensity Power Spectrum of Time-Independent Networksp. 183
The Power Spectrum of the Output Fieldp. 184
The Power Spectrum of the Output Field Intensityp. 185
The General Expressionp. 185
Simplifications of the General Casep. 187
A Phase-Noise Source Coupled to a Dispersive Waveguidep. 189
A Degenerate Dispersive Waveguide and Its H Functionp. 190
Computation of the First Term in the Output Noise Power Spectrump. 191
The Output Intensity Noise Power Spectrump. 192
Frequency-Periodic Networks and the Incoherent Limitp. 196
Discrete and Frequency-Periodic Networksp. 196
The Decomposition Theoremp. 198
The Output Average Intensity in the Incoherent Limit Approximationp. 199
The Power Spectrum of the Optical Intensity Noise in the Incoherent Limit Approximationp. 200
Network Parameters for the Characterization of the Output Intensity Noise in the Incoherent Limitp. 202
The Network Characteristic Matrices and Noise Factorsp. 202
The Output Intensity Variancep. 204
Summaryp. 206
Analytic Methods for the Incoherent Limitp. 209
Application of the Residue Calculus for the Calculation of the Averaging Integralp. 210
Computation of the Network Characteristic Functionsp. 211
The K Characteristic Functionp. 211
The L Characteristic Functionp. 215
The Guided-Wave Fabry-Perot Interferometer (Example)p. 216
The K Characteristic Functionp. 217
The L Characteristic Functionp. 218
The Fabry-Perot Noise Factorsp. 218
The Variance Coefficient for the Fabry-Perot Interferometerp. 220
The Recirculating Loop (Example)p. 222
The Characteristic Functionsp. 222
The Recirculating Loop Noise Factorsp. 223
The Recirculating Loop Variance Coefficientp. 225
The Guided-Wave Mach-Zehnder Interferometer (Example)p. 227
The Characteristic Functionsp. 227
The Mach-Zehnder Noise Factorsp. 229
Summaryp. 229
Signal Analysis in Networks That Are Periodic in Timep. 233
The Output Field of Time-Periodic Networksp. 234
The Power Spectrum of the Output Fieldp. 236
The General Formulationp. 236
Qualitative Features of the Output Field Power Spectrump. 238
The Average of the Output Intensityp. 240
Instantaneous Modulators (Example)p. 241
The Output Intensity Power Spectrump. 243
General Formulationp. 243
Qualitative Features of the Output Intensity Power Spectrump. 247
Instantaneous Modulators (Example)p. 249
Analysis of the Modulated Fiber-Optic Gyrop. 251
Summaryp. 254
Optical Signal and Noise in a Coherent Laser Radarp. 255
The Transfer Functions of the Lidar Systemp. 256
The Output Field Power Spectrump. 257
The Output Intensity Noise Power Spectrump. 258
The Output Intensity Power Spectrump. 261
The Signal-to-Noise Ratio in a Coherent Lidarp. 262
Summaryp. 265
Indexp. 267
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780890065099
ISBN-10: 0890065098
Series: Optoelectronics Library
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 292
Published: 19th February 1992
Publisher: Artech House Publishers
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 2.0
Weight (kg): 0.6

Earn 554 Qantas Points
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