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9780471183730

Optical Filter Design and Analysis A Signal Processing Approach

by ;
  • ISBN13:

    9780471183730

  • ISBN10:

    0471183733

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 1999-06-15
  • Publisher: Wiley-Interscience
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Supplemental Materials

What is included with this book?

Summary

* 250 figures as well as problem sets for use in graduate-level studies

Author Biography

<b>CHRISTI K. MADSEN</b> is a member of the Technical Staff of Bell Laboratories, Lucent Technologies. JIAN H. ZHAO is Professor of Electrical and Computer Engineering at Rutgers, The State University of New Jersey.

Table of Contents

Preface xi
Introduction
1(18)
Optical Filters
1(6)
Filter Applications in WDM Systems
7(7)
Bandpass Filters for Multiplexing, Demultiplexing, and Add/Drop
8(2)
Gain Equalization Filters
10(3)
Dispersion Compensation Filters
13(1)
Scope of the Book
14(1)
References
15(4)
Fundamentals of Electromagnetic Waves and Waveguides
19(76)
The Plane Wave
19(15)
Maxwell's Equations
19(1)
The Wave Equation in a Dielectric Medium
20(2)
Solutions of the Wave Equation
22(3)
Phase Velocity and Group Velocity
25(2)
Reflection and Refraction at Dielectric Interfaces
27(7)
Slab Waveguides
34(30)
The Guided Wave Condition
34(3)
Characteristic Equations for the Slab Waveguide
37(2)
Waveguide Modes
39(3)
Orthogonality and Completeness of Modes
42(2)
Dispersion
44(12)
Loss and Signal Attenuation
56(8)
Rectangular Waveguides
64(5)
Wave Equation Analysis
65(2)
The Effective Index Method
67(1)
Perturbation Corrections
68(1)
Splitters and Combiners
69(13)
Directional Couplers
69(7)
Star Couplers
76(2)
Multi-Mode Interference Couplers
78(4)
Material Properties and Fabrication Processes
82(6)
Materials
83(3)
Fabrication
86(2)
References
88(5)
Problems
93(2)
Digital Filter Concepts for Optical Filters
95(70)
Linear Time-Invariant Systems
95(11)
Continuous Signals
96(6)
Discrete Signals
102(4)
Digital Filters
106(20)
The Z-Transform
106(2)
Poles and Zeros
108(2)
Stability and Causality
110(2)
Magnitude Response
112(2)
Group Delay and Dispersion
114(5)
Minimum-, Maximum-, and Linear-Phase Filters
119(7)
Single-Stage Optical Filters
126(11)
A Single-Stage MA Filter
129(2)
A Single-Stage AR Filter
131(3)
Power Conservation and Reciprocity
134(2)
Incoherent Optical Signal Processing
136(1)
Digital Filter Design
137(24)
Approximating Functions
137(2)
Bandpass Filters
139(1)
The Window Method for MA Bandpass Filters
140(2)
Classical Filter Designs for ARMA Bandpass Filters
142(6)
The Least Squares Method for AR Filter Design
148(6)
Multi-Stage Filter Architectures
154(7)
Appendix
161(1)
References
162(2)
Problems
164(1)
Multi-Stage MA Architectures
165(72)
Single-Stage MZI Design
165(6)
Loss and Fabrication Induced Variations
166(2)
A Tunable Coupler
168(3)
Cascade Filters
171(6)
Transversal Filters
177(3)
Multi-Port Filters
180(18)
Diffraction Grating Filters
180(4)
Waveguide Grating Routers
184(14)
Lattice Filters
198(26)
The Z-Transform Description and Synthesis Algorithm
199(17)
Generalized Lattice Filters
216(8)
Coupled-Mode Filters
224(8)
References
232(4)
Problems
236(1)
Multi-Stage AR Architectures
237(68)
Ring Cascade Filter
238(3)
Ring Lattice Filter
241(31)
The Z-Transform Description
242(4)
Synthesis Algorithm
246(12)
Sensitivity to Fabrication Variations
258(5)
Bandpass Filter Design and Experimental Results
263(4)
Gain Equalizer Design
267(3)
Dispersion Compensator Design
270(2)
Vernier Operation
272(4)
Reflective Lattice Filters
276(23)
Thin-Film Filters
277(8)
Bragg Gratings
285(14)
References
299(3)
Problems
302(3)
Multi-Stage ARMA Filters
305(50)
A Maximally Flat ARMA Filter
305(5)
A General ARMA Lattice Architecture
310(10)
The Z-Transform Description
311(3)
Synthesis Algorithm
314(3)
Design Examples
317(3)
All-Pass Filters
320(10)
Optical All-Pass Filters
321(2)
Fiber Dispersion Compensation
323(2)
Filter Dispersion Compensation
325(3)
Wavelength Dependent Delays
328(2)
Bandpass Filters
330(22)
All-Pass Decomposition for 2 x 2 Filters
333(12)
An N x N Router
345(7)
References
352(1)
Problems
353(2)
Optical Measurements and Filter Analysis
355(42)
Optical Measurements
355(23)
Polarization Dependent Loss
360(5)
Indirect Loss Measurements
365(7)
Group Delay
372(6)
Filter Analysis
378(15)
Time Domain Measurement
378(2)
Optical Low-Coherence Interferometry and Fourier Spectroscopy
380(7)
The AR Analysis Algorithm
387(6)
References
393(1)
Problems
394(3)
Future Directions
397(8)
Communication System Applications
397(3)
Ultra-Dense WDM Systems and Networks
397(1)
Ultra-Fast TDM and Optical Codes
398(2)
Materials and Processing
400(2)
Summary
402(1)
References
402(3)
Index 405

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