Forced convection over flat and curved isothermal surfaces with unheated starting length

Jason H. Roland


This thesis employs the angular spectrum method to analyze the reflection and transmission of a vortex beam at an air-material interface. General expressions of the reflected and transmitted fields are presented in momentum space. Except for some special angles of incidence, such as Brewster's angle and the critical angle, the model is generally valid. Thereafter, an operator method is utilized to calculate the spin Hall effect of a vortex beam in momentum space. It is shown that, compared with its counterpart at an air-normal material interface, the spin Hall effect of a vortex beam remains unchanged at an air-metamaterial (with double negative index) interface. The weak measurement technique is adopted to detect and measure the spin Hall effect of light (SHEL). The theory and experiment are in good agreement for partial reflection of a Gaussian beam at an air-glass interface. The design of an experiment to measure the SHEL of a vortex beam at an air-metamaterial interface is also described; this will be pursued in the future.