Electromagnetic complex source pulsed beam fields

Complex source pulsed beams (CSPB) are exact solutions of the wave equation that can be modeled by a time-dependent source located at a complex coordinate point. With a proper choice of parameters, these wavefields are confined in beam-like fashion in transverse planes perpendicular to the propagation axis while confinement along the axis is due to temporal windowing. Because they have these properties, CSPB are useful wave objects for generating and synthesizing highly focused transient fields and for local probing of a medium. Furthermore, as has been shown recently, CSPBs form a new set of basis functions for an exact angular spectrum expansion of source-excited, time-dependent fields. Scalar PB fields have been explored recently from several viewpoints. In this paper, vector electromagnetic PB fields are constructed by using current dipoles which are located at complex coordinate points. As in the scalar case, the direction, collimation and directivity of the field are determined essentially by the imaginary displacement of the source coordinate. The vector fields depend also on the polarization of the dipole with respect to the beam axis