Advances in ultrafast optical technology have made possible the generation
of single-cycle electromagnetic pulses whose bandwidths are comparable
to the center frequency. Because different frequency components diffract
differently, such pulses undergo significant temporal reshaping even when
they propagate through free space. Because they contain only one cycle
they cannot be properly described by the slowly varying envelope approximation.
We have obtained exact solutions of Maxwell's equations that correctly
describe the spatiotemporal evolution of focused single-cycle electromagnetic
pulses. These solutions show how the Gouy phase shift leads to polarity
reversals and temporal reshaping as the pulses propagate. The results have
implications for both terahertz pulses and few-cycle femtosecond laser
pulses. We are currently investigating the nonlinear interactions of these
single-cycle pulses.
A second area of research involves novel grating structures in semiconductor
lasers. We are investigating two-dimensional distributed feedback lasers
and their potential for high power, single longitudinal and lateral mode
operation. We are also studying Bragg amplifiers for wavelength conversion
applications.