We show how nondispersive quadratic phase media (e.g., lenses, curved mirrors, and gradient-index rods) transform the spatial and temporal profiles of isodiffracting single-cycle pulses. Because all the frequency components of an isodiffracting pulsed beam have the same Rayleigh range, the entire pulse can be transformed directly in the time domain by use of ABCD matrices. The accumulated phase shift plays an important role in changing the spatial and temporal profiles. These pulses form natural spatiotemporal modes of a stable cavity resonator.
© 1999 Optical Society of America
Original Manuscript: December 3, 1998
Revised Manuscript: May 3, 1999
Manuscript Accepted: May 3, 1999
Published: October 1, 1999
Simin Feng and Herbert G. Winful, "Spatiotemporal transformation of isodiffracting ultrashort pulses by nondispersive quadratic phase media," J. Opt. Soc. Am. A 16, 2500-2509 (1999)