Quantum optics and Laser Induced Breakdown Spectroscopy: a dissertation in two parts

Abstract

In this dissertation, we solve for the form of the multiple pump mode spontaneous downconversion spectrum, by expanding the pump field in a superposition of Seigman's Complex Gauss-Hermite modes. We also examine the use of Diffraction Gratings as quantum state "cleaners," in that they may be used to distill a specific quantum state from a corresponding superposition of undesirable states. Work was also done in Laser Induced Breakdown Spectroscopy; we use the technique to determine the hydration state of hydrated sulfates in a Martian environment, and examine the effect of the bremmstrahlung background on the predictive ability of the technique.