Localized Waves Emanated by Pulsed Sources: The Riemann-Volterra Approach. In: Non-Diffracting Waves.

The overwhelming majority of theoretical studies on the wave motion rely upon the spectral-modal approach implying complete separation of variables in the descriptive equations by suitable integral transforms or series expansions in terms of eigenfunctions (modes). Of them, the most prominent is the Fourier (Laplace) transform lying in the basis of the frequency domain ansatz, whose nearl