We report the observation of laser gain in the vacuum ultraviolet pumped by super Coster-Kronig decay. Using a 5-J, 300-psec pump pulse of 1064-nm radiation, we have observed gain on transitions in Zn III at 127.0, 130.6, and 131.9 nm with total gains of exp(2.4), exp(5.1), and exp(3.2), respectively. The large branching ratios of the rapid super Coster-Kronig decay into a small number of final...

The Kronig-Penney model is typically used to compute the band structure and bound states of a periodic crystal. While the model allows analytical solutions, it does so by simplifying the potential to a periodic square potential. We present a method of using transfer matrices to compute energy bands in a 1-Dimensional lattice. This method does not involve the simplification required by the Kroni...

The use of the Kramers-Kronig (KK) relations to evaluate the consistency of impedance data has been limited by the fact that the experimental frequency domain is necessarily finite. Current algorithms do not distinguish between the residual errors caused by a frequency domain that is too narrow and discrepancies caused by a system which does not satisfy the constraints of the KK equations. A ne...

We explore the mathematical theory to rigorously describe response of media with linear time-varying, generally dispersive, electromagnetic constitutive parameters. show that even when temporal inhomogeneity takes place on a time scale comparable or shorter than driving fields' period, one can still define physically meaningful time-varying dispersion. Accordingly, generalized set Kramers-Kroni...

A static plasma grating has been demonstrated experimentally [l] in a large optical cavity FIB-DBR GaAIAs/GaAs laser diode. The grating is formed by implanting stripes of dopants with a focused ion beam (FIB). The dopants ionize to form periodic fluctuations in the carrier concentration which, through the Kramers-Kronig relations, form an index grating. A model of the grating strength for optim...

We extend the standard Kronig-Penney model with periodic δ potentials to the cases with generalized contact interactions under the assumption that the system has time-reversal symmetry. By applying Bloch theorem, the eigenvalue equation which determines the dispersion relation for onedimensional periodic array of the generalized contact interactions is deduced within the framework of the transf...