Optical Signal Processing
Fundamentals
Published on 23. December 2011
Book
Paperback/Softback
XI, 483 pages
978-3-642-74964-3 (ISBN)
Description
The subject "optical signal processing" can and should include all aspects of optics and signal processing. However, that is too large a scope for a textbook that, like this one, is intended as an introduc tion to the subject at a level suitable for first year graduate students of electrical engineering, physics, and optical engineering. There fore, the subject matter has been restricted. The book begins with basic background material on optics, signal processing, matrix alge bra, ultrasound and SAWs, and CCDs. One might argue about this choice of topics. For example, there already exist very good books on matrix algebra. However, matrix algebra is so important in sig nal processing, especially in connection with devices such as optical matrix processors, that it was felt that a review was essential. Also, the matrix algebra needed for systolic arrays and parallel computing has made great advances in recent years. My original intention was to write a single-volume textbook cov ering most of the fundamental concepts and applications of optical signal processing. However, it soon became apparent that the large amount of material to be included would make publication in a single volume impracticable. Therefore this volume treats the "fundamen tals" and a second volume will appear dealing with devices and applications. This textbook was stimulated by a set of short courses that I have directed and lectured since 1976, as well as regular courses that I have taught at Rensselaer Polytechnic Institute since 1974.
More details
Edition
Softcover reprint of the original 1st ed. 1991
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Lower undergraduate
Illustrations
XI, 483 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 27 mm
Weight
750 gr
ISBN-13
978-3-642-74964-3 (9783642749643)
DOI
10.1007/978-3-642-74962-9
Schweitzer Classification
Other editions
Additional editions
Book
04/1991
Springer
€85.55
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Content
1. Introduction.- 1.1 Why Optical Signal Processing?.- 1.2 Signal Processing: Tools and Applications.- 1.3 Arrangement of the Book.- 2. Optics Fundamentals.- 2.1 Maxwell's Equations.- 2.2 Boundary Conditions.- 2.3 Snell's Laws.- 2.4 Total Internal Reflection and Optical Tunneling.- 2.5 Transmission Lines.- 2.6 Reflection and Transmission Coefficients for Electromagnetic Waves.- 2.7 Group and Phase Velocity.- 2.8 Gaussian Beam Propagation.- 2.9 Geometrical Optics.- 2.10 Gradient Optical Fiber.- 2.11 Integrated Optics and Step-Index Optical Fibers.- 2.12 Propagation in Anisotropic Media.- 2.13 Electro-optic Effect.- 2.14 The Acousto-optic or Elasto-optic Effect.- 2.15 Magneto-optics.- 2.16 Wave Equation with Source and Boundary.- 2.17 Fourier Optics.- 3. Signal Processing Fundamentals.- 3.1 Analog Signals and Systems.- 3.2 Discrete Systems.- 3.3 Noise and Stochastic Processes.- 3.4 Filters.- 3.5 Adaptive Filters.- 3.6 Power Spectra Estimation.- 3.7 Kalman Filtering.- 3.8 Two-Dimensional Signal Processing.- 3.9 Stochastic Processes: Multidimensional.- 3.10 The Ambiguity Function, Wigner Distribution Function and Triple Correlation.- 4. Introduction to SAW and CCD Technology.- 4.1 History of CCD and SAW Devices.- 4.2 Why SAWs Became Popular and Useful in the 1960s.- 4.3 Charge Coupled Devices.- 4.4 Magneto-Static Waves.- 4.5 ACT Devices.- 4.6 Comparison of Technologies.- Appendices.- A. Matrices.- A.1 The Hamilton-Cayley Theorem.- A.2 Some Definitions.- A.3 Matrix Inversion.- A.4 Gaussian Elimination Method.- A.5 Successive Orthogonalization of a Matrix.- A.6 Circulant Matrices and Fourier Matrices.- A.7 Pseudo-Inverse, Singular-Value Decomposition, Overdetermination and Principle of Least Squares: Kalman Filtering.- A.8 Coordinate Transformation.- B. OrthogonalFunctions and Polynomials.- B.1 Sturm-Liouville Equation.- B.2 Fourier Series.- B.3 Hypergeometric Series.- B.4 Legendre Polynomials.- B.5 Hermite Polynomials.- B.6 Laguerre Polynomials.- B.7 Generalized Laguerre Polynomials.- B.8 Chebyshev Polynomials.- B.9 Bessel Functions.- C. Principle of Stationary Phase.- D. Vectors.- D.1 Important Results.- D.2 Green's Theorem: Scalar.- D.3 Green's Theorem: Vector.- E. Symmetry Properties of Different Coefficients in Crystal Classes.- References.