Envelope localized waves of the conical type in linear normally dispersive media

Nondiffractive and nondispersive localized waves with narrow bandwidth are investigated theoretically as solutions of the linear scalar wave equation for normally dispersive media. By employing a Fourier approach, we study how the features of the linear dispersion relationship, i.e., the transverse wave number as a function of frequency, change as a function of the parameters of the wave and the medium (dispersion). We classify the localized waves accordingly and give their explicit expressions in those special cases which allow us to solve the Fourier-Bessel integral that yields the general representation of such waves.