Analytical Theory of Aero-Optical and Atmospheric Effects in Supersonic and Hypersonic Flows by Anubhav Gupta B.E., Electrical and Electronics with Distinction, Dayananda Sagar College of Engineering - Bangalore, India, 2012 A thesis submitted to the Faculty of the Graduate School of the University of Colorado in partial fulfillment of the requirements for the degree of Master of Science Department of Aerospace Engineering Sciences 2020 Committee Members: Dr. Brian Argrow Dr. Robert D. Braun Dr. Andreas Muschinski