  By a generalized bidirectional decomposition method, we obtain many new
Superluminal localized solutions to the wave equation (for the electromagnetic
case, in particular) which are suitable for arbitrary frequency bands; various
of them being endowed with finite total energy. We construct, among the others,
an infinite family of generalizations of the so-called "X-shaped" waves. [PACS
nos.: 03.50.De; 41.20;Jb; 83.50.Vr; 62.30.+d; 43.60.+d; 91.30.Fn; 04.30.Nk;
42.25.Bs; 46.40.Cd; 52.35.Lv. Keywords: Wave equations; Wave propagation;
Localized beams; Superluminal waves; Bidirectional decomposition; Bessel beams;
X-shaped waves; Microwaves; Optics; Special relativity; Acoustics; Seismology;
Mechanical waves; Elastic waves; Gravitational waves; Elementary particle
physics].
