title: Analytical approximations to inhomogeneously broadened, radiation damped free precession and echo signals.
abstract: The Dirac-Frenkel-Maclachlan (DFM) variation of parameters approach to approximately solving the time dependent Schrödinger equation is used to generate free precession and echo signals from the Bloch equations corrected for the effects of radiation damping and inhomogeneous broadening. Following a brief description of how the DFM method can be applied to the non-linear Bloch equations, two figures of merit designed to evaluate how a DFM optimized approximation compares with the exact solution is provided. This framework is used to optimize and evaluate the performance of six trial functions describing inhomogeneously broadened, radiation damped free precession and echo signals. The trial functions are then used to analyze the resolution enhancement and signal attenuation produced by pulse sequences that suppress radiation damping.
authors: Department of Chemistry, One Shields Avenue, University of California, Davis, CA 95616, United States.
authors: J C
authors: JC
authors: Erker
authors: Department of Chemistry, One Shields Avenue, University of California, Davis, CA 95616, United States. Electronic address: maugust@ucdavis.edu.
authors: M P
authors: MP
authors: Augustine
keywords: Inhomogeneous broadening; Radiation damping; Time dependent quantum mechanics; Variation of parameters