E-Book, Englisch, 264 Seiten
Theory, Design, and Applications
E-Book, Englisch, 264 Seiten
Reihe: Devices, Circuits, and Systems
ISBN: 978-1-4398-2981-3
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
Drawing on the award winning research of Carnegie Mellon’s David S. Ricketts, Electrical Solitons Theory, Design, and Applications is the first text to focus specifically on KdV solitons in the nonlinear transmission line. Divided into three parts, the book begins with the foundational theory for KdV solitons, presents the core underlying mathematics of solitons, and describes the solution to the KdV equation and the basic properties of that solution, including collision behaviors and amplitude-dependent velocity. It also examines the conservation laws of the KdV for loss-less and lossy systems.
The second part describes the KdV soliton in the context of the NLTL. It derives the lattice equation for solitons on the NLTL and shows the connection with the KdV equation as well as the governing equations for a lossy NLTL. Detailing the transformation between KdV theory and what we measure on the oscilloscope, the book demonstrates many of the key properties of solitons, including the inverse scattering method and soliton damping.
The final part highlights practical applications such as sharp pulse formation and edge sharpening for high speed metrology as well as high frequency generation via NLTL harmonics. It describes challenges to realizing a robust soliton oscillator and the stability mechanisms necessary, and introduces three prototypes of the circular soliton oscillator using discrete and integrated platforms.
Zielgruppe
Those working in high-speed electronics and test and measurement, circuits, devices, electromagnetics, and microwaves.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
I Electrical Solitons: Theory
Introduction
The "Solitons"
A Brief Overview and History of the Soliton
The KdV Soliton
The Solitary Wave Solution
The Periodic Soliton: The Cnoidal Wave Solution
Transient Dynamics of the KdV
The Heart of the Soliton: Inverse Scattering
Inverse Scattering Method
A Math Problem
KdV Solution via the Inverse Scattering Method
Solution of the KdV Initial Value Problem
Asymptotic Solution to the Inverse Scattering Method
Soliton Defnition
Transient Solutions of the KdV
The Three Faces of the KdV Soliton
Conservative and Dissipative Soliton Systems
Conservation Laws
The Lossy KdV
II Electrical Solitons: Design
Electrical Nonlinear Transmission Line and Electrical Solitons
The Nonlinear Transmission Line
Toda Lattice
NLTL Lattice
KdV Approximation of the NLTL
The Lossy NLTL
The Electrical Soliton in the Lab, M.W. Chen and E. Shi
Toda Lattice, NLTL Lattice and KdV Solitons
Scaling and Transformations: Lab ! NLTL ! KdV
NLTL Characterization
Inverse Scattering on the NLTL
Soliton Damping on the NLTL
Numerical Accuracy
III Electrical Solitons: Application
NLTL as a Two-Port System, X. Li and M.W. Chen
Pulse Compression and Tapered NLTL
Shockwave NLTL
Harmonic Generation
The Soliton Oscillator
Basic Topology
Instability Mechanisms
Identifcation of Three Instability Mechanisms
NLTL Soliton Oscillator Working Model
System Design and Amplifier Dynamics
The Circular Soliton Oscillator
CMOS, Low MHz Prototype
Bipolar, Microwave Prototype
CMOS, Chip-scale, GHz Prototype
The Reection Soliton Oscillator, O.O. Yildirim
Operating Principle
Amplifier Design
Experiments
Comparison with Haus’s Oscillator
Chaotic Soliton Oscillator and Chaotic Communications, O.O. Yildirim, N. Sun, and X. Li
Chaos and Chaotic Communications
Chaotic Soliton Oscillator
Simulation of the Chaotic Soliton Oscillator
Simulation of Chaotic Binary Communication
Phase Noise of Soliton Oscillators, X. Li
Phase Noise Fundamentals
Phase Noise Due to Direct Phase Perturbation
Amplitude-to-Phase Noise Conversion
Experimental Verification
