Arrow wave modes

The scalar wave equation has many classes of solutions corresponding to pro gressing waves propagating without dispersion in the entire space for -infi nity < t < infinity and conveying an infinite energy. Two well known exampl es are the conventional plane waves and the focus wave modes. We investigat e here a new class of nondispersive solutions that we name 'arrow wave mode s' and we are interested in arrow beams built up by superposition of these basic modes and conveying a finite energy so that they can be used to const ruct physical signals.