Localized Waves

by Herná; ndez-Figueroa, Hugo E.; Zamboni-Rached, Michel; Recami, Erasmo

• ISBN13: 9780470108857
• ISBN10: 0470108851
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-02-04
• Publisher: Wiley-IEEE Press

Summary

The 12 chapters of this book are authored by the most productive researchers in the field and will offer a well balanced presentation between theory and experiments in localized waves.

Author Biography

Hugo E. HernÁNdez-Figueroa, PhD, is a Full Professor in the School of Electrical and Computer Engineering of the State University of Campinas (UNICAMP), Brazil. He is a Senior Member of the IEEE, an Associate Editor of the IEEE/OSA Journal of Lightwave Technology, and a Member of the Editorial Board of the IEEE Transactions on Microwave Theory and Techniques. His research interests concentrate on a wide variety of wave electromagnetics phenomena and applications mainly in photonics and microwaves.

Michel Zamboni-Rached, PhD, is a Professor in the Centro de Ci?ncias Naturais e Humanas, Universidade Federal do ABC, Brazil. His research interests are electromagnetic field theory, theory and applications of localized waves (in electromagnetism, acoustics, and wave mechanics), optics, optical communications, and some topics in theoretical physics.

Erasmo Recami, PhD, has been a Professor of Physics (currently at Bergamo State University, Italy) for the past forty years. His current research includes the structure of leptons, tunneling times, the application of the GR methods to strong interactions, extended SR, and, in particular, the superluminal group velocities associated with evanescent waves and with the localized solutions to Maxwell's equations.

Table of Contents

Localized Waves: A Historical And Scientific Introduction

A General Introduction

Preliminary Remarks

A More Detailed Introduction

The Localized Solutions

A Historical (Theoretical and Experimental) Perspective

Introduction

Historical Recollections: Theory

The Particular X-Shaped Field Associated With a Superluminal Charge

A Glance at the Experimental State-Of-The-Art

References

Structure of The Nondiffracting Waves And Some Interesting Applications

Introduction

Spectral Structure of The Localized Waves And The Generalized Bidirectional Decomposition

The Generalized Bidirectional Decomposition

Closed Analytical Expressions Describing Some Ideal Nondiffracting Pulses

Finite Energy Nondiffracting Pulses

Space-Time Focusing Of X-Shaped Pulses

Focusing Effects By Using Ordinary X-Waves

Chirped Optical X-Type Pulses In Material Media

An Example: Chirped Optical X-Typed Pulse In Bulk Fused Silica

Modeling The Shape Of Stationary Wave Fields: Frozen Waves

Stationary Wave Fields With Arbitrary Longitudinal Shape In Lossless Media, Obtained By Superposing Equal-Frequency Bessel Beams

Increasing The Control On The Transverse Shape By Using Higher-Order Bessel Beams

Stationary Wave Fields With Arbitrary Longitudinal Shape In Absorbing Media: Extending The Method

Some Examples

References

Two Hybrid Spectral Representations and Their Applications To The Derivations Of Finite Energy Localized Waves And Pulsed Beams

Introduction

An Overview Of The Bidirectional And Superluminal

Spectral Representations

The Bidirectional Spectral Representation

Superluminal Spectral Representation

The Hybrid Spectral Representation And Its Application To

The Derivation Of Finite Energy X-Shaped Localized Waves

The Hybrid Spectral Representation

(3+1)-D Focus X Wave

(3+1)-D Finite-Energy X-Shaped Localized Waves

Modified Hybrid Spectral Representation And Its

Application To The Derivation Of Finite-Energy Pulsed Beams

The Modified Hybrid Spectral Representation

(3+1)-D Splash Modes And Focused Pulsed Beams

Conclusions

References

Ultrasonic Imaging With Limited-Diffraction Beams

INTRODUCTION

Fundamentals Of Limited Diffraction Beams

Applications Of Limited Diffraction Beams

Conclusion

References

Propagation-Invariant Fields: Rotationally Periodic And Anisotropic Nondiffracting Waves

Introduction

Brief Overview Of Propagation-Invariant Fields

Scope Of This Article

Rotationally Periodic Waves

Fourier Representation of general RPWs

Special propagation symmetries

Monochromatic waves

Pulsed single-mode waves

Superluminal single-mode wave

Subluminal single-mode wave

Luminal single-mode wave

Discussion

Nondiffracting Waves In Anisotropic

Crystals

Representation Of Anisotropic Nondiffracting Waves

Effects due to anisotropy

Acoustic generation of NDWs

Discussion

CONCLUSIONS

References

Bessel-X Waves Propagation (Dan

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