“…1 Research is ongoing on many fronts to generate ultrashort, high-energy beams, including through compression by ionization, 2 Raman amplification, 3 filamentation, 4 dielectric reflectors, 5 hollow-core fibers, 6 and even deformable mirrors. 7 Such ultrashort laser pulses find application in many areas of current interest, including the acceleration of high-energy, monoenergetic electrons, the generation of attosecond pulses, and photoionization. [8][9][10][11] In this Letter the recently published solution for focused laser fields is used to develop an exact analytical solution to the vacuum Maxwell wave equation for tightly focused laser beams of arbitrary pulse length.…”