Electromagnetic Pulsed-Beam Wavelets for Radar

The physical wavelets introduced earlier are studied in greater detail. They are causal pulsed-beam solutions of the Wave equation or Maxwell\´s equations parameterized by their point and time of emission, the radius of the emitting aperture, the direction of propagation and the pulse duration. They are related to the "complex-source pulsed beams" studied by Heyman and Felsen, but have an additional parameter ¿ which controls their oscillation and bandwidth. We derive the far fields and time-domain radiation patterns and confirm that by choosing large values of ¿, the beams can be made arbitrarily narrow and well-collimated. Applications to ultrawideband radar are indicated.