Learn More
In this paper, we introduce a new fast, higher-order solver for scattering by inhomogeneous media in three dimensions. As in previously existing methods, the low complexity of our integral equation method, OðN log N Þ operations for an N point discretization, is obtained through extensive use of the fast Fourier transform (FFT) for the evaluation of(More)
This paper provides a theoretical analysis of a higher-order, FFT-based integral equation method introduced recently [IEEE Trans. for the evaluation of transverse electric–polarized electromagnetic scattering from a bounded, pene-trable inhomogeneity in two-dimensional space. Roughly speaking, this method is based on Fourier smoothing of the integral(More)
All Rights Reserved iii For Marie, Cooper and Miriam iv Acknowledgements The deeply enriching experience that I have enjoyed during my years at Caltech is largely due to the individuals that have assisted and influenced me and my work. I would be ungrateful if I did not acknowledge their invaluable contributions. First, I thank my advisor, Professor Oscar(More)
In animals, repeated administration of 3,4-methylenedioxymethamphetamine (MDMA) reduces markers of serotonergic activity and studies show similar serotonergic deficits in human MDMA users. Using proton-magnetic resonance spectroscopy ((1)H-MRS) at 11.7Tesla, we measured the metabolic neurochemical profile in intact, discrete tissue punches taken from(More)
  • 1