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.
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Feng et al. (1999) studied this question.
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