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Chapter One
Localized Waves: A Historical
and Scientific Introduction
ERASMO RECAMI
Università degli Studi di Bergamo, Bergamo, Italy, and INFN-Sezione di
Milano, Milan, Italy
MICHEL ZAMBONI-RACHED
Centro de Ciências Naturais e Humanas, Universidade Federal do ABC,
Santo Andre, SP, Brazil
HUGO E. HERNÁNDEZ-FIGUEROA
Universidade Estadual de Campinas, Campinas, SP, Brazil
In the first part of this introductory chapter, we present general and formal (simple)
introductions to the ordinary Gaussian waves and to the Bessel waves, by explicitly
separating the cases of the beams from the cases of the pulses; and, finally, an
analogous introduction is presented for the localized waves (LW), pulses or beams.
Always we stress the very different characteristics of the Gaussian with respect to
the Bessel waves and to the LWs, showing the numerous and important properties of
the latter w.r.t. the former ones: Properties that may find application in all fields in
which an essential role is played by a wave-equation (like electromagnetism, optics,
acoustics, seismology, geophysics, gravitation, elementary particle physics, ... read full excerpt from Localized Waves ebook
