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Non-diffracting Waves

ISBN: 978-3-527-67153-3
512 pages
September 2013
Non-diffracting Waves (3527671536) cover image


This continuation and extension of the successful book "Localized Waves" by the same editors brings together leading researchers in non-diffractive waves to cover the most important results in their field and as such is the first to present the current state.
The well-balanced presentation of theory and experiments guides readers through the background of different types of non-diffractive waves, their generation, propagation, and possible applications. The authors include a historical account of the development of the field, and cover different types of non-diffractive waves, including Airy waves and realistic, finite-energy solutions suitable for experimental realization. Apart from basic research, the concepts explained here have promising applications in a wide range of technologies, from wireless communication to acoustics and bio-medical imaging.
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Table of Contents

1. An overview on nondiffracting wave theory and some recent developments (Erasmo Recami)
2. Localized Waves: Historical and Personal Perspectives (Richard W. Ziolkowski)
3. Optical Airy beams and bullets (Demetrios Christodoulides)
4. Applications of nondiffracting beams in trapping and microscopy (Kishan Dholakia)
5. X-type waves in ultrafast optics (Peeter Saari)
6. Limited-diffraction beams for high frame rate imaging (Jian-yu Lu)
7. Spatiotemporally localized null electromagnetic waves (Ioannis Besieris, Amr M. Shaarawi)
8. Linearly traveling and accelerating localized wave solutions to the Schrodinger equation (Ioannis Besieris, Amr M. Shaarawi, Richard W. Ziolkowski)
9. Rogue-wave-like statistics in formation of nonlinear X-waves (Gintaras Valiulis, Daniele Faccio, Audrius Dubietis)
10. Quantum X-waves with applications in nonlinear optics (Claudio Conti)
11. TE and TM localized beams (Pierre Hillion)
12. Quantum nondiffracting pulses: spatio-temporal localization of single photons (Martin Bock, Ruediger Grunwald)
13. Adaptive shaping of localized wavepackets for applications in ultrashort pulse diagnostics (Martin Bock, Susanta Kumar Das, Carsten Fischer, Michael Diehl, P. Boerner, Ruediger Grunwald)
14. Localized waves emanated by pulsed sources: the Riemann-Volterra approach (Andrei Utkin)
15. Propagation-invariant optical beams and pulses (Kimmo Saastamoinen, Ari Friberg, Jari Turunen)
16. Diffractionless nano-beams produced by multiple-waveguide metallic nanostructures (Matyas Mechler, Szergej Kukhlevsky)
17. Low-cost Radiation of Real-Time Localized Beams by X Wave-based Driving of Ultrasonic Arrays (Antonio Ramos, Luis Castellanos, Hector Calas)
18. Localized beams and localized pulses: Generation using the angular spectrum (Colin Sheppard)
19. Lossy light bullets (Miguel A. Porras)
20. Paraxial approximate and Bateman-type exact localized solutions (Aleksei Kiselev)
21. Super-resolving pupils (Anedio Ranfagni and Daniela Mugnai)
22. Experimental generation of Frozen Waves in Optics: Control of Longitudinal and Transverse Shape of Optical Nondiffracting Waves (Tarcio A. Vieira, Marcos R. Gesualdi, Michel Zamboni-Rached)
23. Airy Shaped Waves (C.Dartora, K.Z.Nobrega, Michel Zamboni-Rached)
24. Solitons and ultra-short optical waves (Nathan Kutz)
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Author Information

Hugo Enrique Hernandez-Figueroa is a Full Professor at the School of Electrical and Computer Engineering of the University of Campinas (UNICAMP), Brazil. He is a Fellow of the OSA, a Senior Member of the IEEE, an Associate Editor of the IEEE Photonics Journal, and was an Associate Editor of the IEEE/OSA Journal of Lightwave Technology. His research interests concentrate in a wide variety of wave electromagnetic phenomena and applications mainly in photonics and microwaves.

Michel Zamboni-Rached is a Professor in the School of Electrical and Computer Engineering of the University of Campinas (UNICAMP), 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 is a Retired Professor at Bergamo State University, Italy, and Senior Associate at INFN-Milan, Italy. His current research includes the structure of leptons, tunneling times, the application of the General Relativity methods to strong interactions, extended Special Relativity, and, in particular, the superluminal group velocities associated with evanescent waves and with the localized solutions to Maxwell Equations.
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