Doctor of Philosophy (PhD)
Physcis and Astronomy
I have investigated classical diffraction of optical beams with multimode approach, which is a significant improvement upon the traditional Huygens–Fresnel principle based diffraction theory. I have also investigated quantum diffraction with multimode approach, which describes the behavior of multimode quantum state. Multimode approach to classical and quantum diffraction provides a clear mathematical formalism and is verified by numerical simulations. In addition, I present the work on superconducting qubit and oscillator with time-dependent coupling coefficient, with first order correction with finite qubit energy and schemes based on and π pulses.
Xiao, Zhihao, "Multimode Approach to Classical and Quantum Diffraction" (2017). LSU Doctoral Dissertations. 4178.