Control Of Nonlinear Distributed Parameter Systems
- English
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- Available on iOS & Android
Control Of Nonlinear Distributed Parameter Systems
About this book
Physics of Optoelectronics focuses on the properties of optical fields and their interaction with matter. Understanding that lasers, LEDs, and photodetectors clearly exemplify this interaction, the author begins with an introduction to lasers, LEDs, and the rate equations, then describes the emission and detection processes.The book summarizes and reviews the mathematical background of the quantum theory embodied in the Hilbert space. These concepts highlight the abstract form of the linear algebra for vectors and operators, supplying the "pictures" that make the subject more intuitive. A chapter on dynamics includes a brief review of the formalism for discrete sets of particles and continuous media. It also covers the quantum theory necessary for the study of optical fields, transitions, and semiconductor gain. This volume supplements the description of lasers and LEDs by examining the fundamental nature of the light that these devices produce. It includes an analysis of quantized electromagnetic fields and illustrates inherent quantum noise in terms of Poisson and sub-Poisson statistics. It explains matter-light interaction in terms of time-dependent perturbation theory and Fermi's golden rule, and concludes with a detailed discussion of semiconductor emitters and detectors.
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Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication Page
- Preface
- Table of Contents
- Contributors
- Shape Sensitivity Analysis in Hyperbolic Problems with Nonsmooth Domains
- Unbounded Growth of Total Variations of Snapshots of the 1D Linear Wave Equation Due to the Chaotic Behavior of Iterates of Composite Nonlinear Boundary Reflection Relations
- Velocity method and Courant metric topologies in shape analysis of partial differential equations
- Nonlinear Periodic Oscillations in Suspension Bridges
- Canonical Dual Control for Nonconvex Distributed-Parameter Systems: Theory and Method
- Carleman estimate for a parabolic equation in a Sobolev space of negative order and its applications
- Bilinear control for global controllability of the semilinear parabolic equations with superlinear terms
- A Nonoverlapping Domain Decomposition for Optimal Boundary Control of the Dynamic Maxwell System
- Boundary Stabilizibility of a Nonlinear Structural Acoustic Model Including Thermoelastic Effects
- On Modeling, Analysis and Simulation of Optimal Control Problems for Dynamic Networks of Euler-Bernoulli- and Rayleigh-beams
- Local Characterizations of Saddle Points and Their Morse Indices
- Static Buckling in a Supported Nonlinear Elastic Beam
- Optimal control of a nonlinearly viscoelastic rod
- Mathematical Modeling and Analysis for Robotic Control
- Optimal Control and Synthesis of Nonlinear Infinite Dimensional Systems
- Forced Oscillation of the Korteweg-De Vries-Burgers Equation and Its Stability