Focus waves modes in homogeneous Maxwell’s equations: Transverse electric mode

This paper presents mathematical formulations for new, three-dimensional, packet-like solutions to the free-space homogeneous Maxwell’s equations. These solutions are real, nonsingular, continuous functions which propagate in a straight line at light velocity. They remain focused for all time. The asymptotic behavior of the fields away from the moving pulse center has a magnitude which decreases as the inverse of the distance from the pulse centers.