We study a family of nonseparable solutions of the three-plus-one-dimensional paraxial wave equation in free space that represent ultrashort waveforms localized in time and space. We use them to develop a simple model for the spatiotemporal structure of ultrashort pulsed light beams, with only one or a few field oscillations of a nonsinusoidal nature. In the many-oscillation limit the model approaches the widely used separable models of modulated sinusoidal oscillations in time and of a Gaussian beam in space.
© 1999 Optical Society of America
(140.4050) Lasers and laser optics : Mode-locked lasers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(320.2250) Ultrafast optics : Femtosecond phenomena
(350.7420) Other areas of optics : Waves
Miguel A. Porras, "Nonsinusoidal few-cycle pulsed light beams in free space," J. Opt. Soc. Am. B 16, 1468-1474 (1999)