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Full-Text Articles in Physical Sciences and Mathematics

Using 3-Dimensional Ffts To Simulate Cmb Maps On A Spherical Cap, Eric Goetz Jan 2019

Using 3-Dimensional Ffts To Simulate Cmb Maps On A Spherical Cap, Eric Goetz

Honors Theses

The current methods of simulating the Cosmic Microwave Background (CMB) involve either simulating the entire sky using spherical transforms or simulating a at patch with fast Fourier transforms (FFTs). For patches that are too large to be considered at but much less than the full sky, the former method is inecient and the latter is inaccurate. One alternative method of CMB simulation is to simulate the random processes behind the CMB in a 3-dimensional box that contains the part of the sphere that we want to measure. Then, we can select the points we want from the box. This method …


Polychromatic Map-Making With Asymmetric Antenna Patterns, Connor Mooney Jan 2019

Polychromatic Map-Making With Asymmetric Antenna Patterns, Connor Mooney

Honors Theses

Imaging telescopes with asymmetric antenna patterns that vary with wavelength can create time-ordered data that may be processed into multiple images corresponding to different bands of wavelengths from just a single set of scans. The imaging telescope named QUBIC has this property and is the inspiration behind this project. Our goal is to quantify, both statistically and analytically, the ability of these telescopes to perform such a reconstruction given different cases. In the case that the telescope is observing the full sky, we reconstruct our maps via a spherical harmonic basis. In this way, the reconstructed images are described as …


Structural Investigations Using Theoretical Approaches : A Study Of Metal Halides, Borylenes, Phenalenyl Complexes And Σ-Hole Interactions, Supreeth Prasad Jan 2019

Structural Investigations Using Theoretical Approaches : A Study Of Metal Halides, Borylenes, Phenalenyl Complexes And Σ-Hole Interactions, Supreeth Prasad

Honors Theses

The anomalous bending in the group 2 binary dihalides and the absence of this behavior in group 12 systems is well established. Their structuralpreferences contradict simple bonding models, yet they have received little to no attention in the literature. In this work, for the first time, the gas phase structuralpreferences of the groups 2 and 12 mixed (ternary) dihalides MXY (M=Be, Mg, Ca, Sr, Ba, Ra, Zn, Cd and Hg,and X, Y=F, Cl, Br, I, At) are investigated at high levels of theory. I extend a previously established softness criterion for bending to the mixed systems and I find that …


Waveband Luminosity Correlations In Flux-Limited Multiwavelength Data And The Schwinger Effect In Minkowski & De Sitter Space-Times, Syed Jibran Haider Jan 2019

Waveband Luminosity Correlations In Flux-Limited Multiwavelength Data And The Schwinger Effect In Minkowski & De Sitter Space-Times, Syed Jibran Haider

Honors Theses

The first part of the thesis explores key findings determined from plotting multiple waveband luminosity and redshift correlations in quasar data binned in redshift. The second part of the thesis concerns itself with applying Picard-Lefschetz theory to pair particle production in de Sitter space-time (with or without a constant electric field).