Electrical Solitons: Theory, Design, and Applications

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This book details the physics, implementation, and dynamics of the electrical soliton, a unique nonlinear wave whose dynamics can be leveraged in many different high-speed electronics applications. After an overview of the soliton concept, the authors introduce the concept of the nonlinear transmission line, the medium on which electrical solitons are formed. Then they explain the unique dynamics of electrical solitons, including the many practical realities of solitons in lossy, non-ideal media. The mathematical background used to describe these phenomena is contained in the appendix, and fundamental physical concepts are presented so that the average engineering reader will understand.

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Product Details

  • ISBN-13: 9781439829806
  • Publisher: Taylor & Francis
  • Publication date: 12/20/2010
  • Series: Devices, Circuits, and Systems Series
  • Edition description: New Edition
  • Pages: 264
  • Product dimensions: 6.40 (w) x 9.30 (h) x 0.70 (d)

Meet the Author

David S. Ricketts is an Assistant Professor of ECE at Carnegie Mellon University in Pittsburgh, Pennsylvania.

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Table of Contents

I Electrical Solitons: Theory


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


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

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