Freeform optics, broadly described as optical elements with at least one surface lacking translational or rotational symmetry, have seen increased interest due to recent [...]

The use of nonconventional beam classes in turbulence applications is investigated. Through the study on pseudo-Bessel correlated beam propagation in the atmosphere, it i[...]

This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduc[...]

Adaptive optics reduces undesirable turbulence effects present during propagation and imaging through the atmosphere or another random medium. Within an adaptive optics [...]

Recent advancements in design, manufacturing, and metrology have enabled broader use of freeform components for high-performing optical systems. Freeform optics, which la[...]

Nonpropagating excitations have been studied in 1-D and in 3-D, but not so much in 2-D. So, this thesis concerns 2-D nonpropagating excitations. In particular, we constru[...]

Vortices in optical beams have been the subject of extensive study since their status as a generic feature of light was established. They have found extensive use in opti[...]

In this dissertation, we mainly discuss the image approximation methods to the reaction field and their applications to electrostatic interactions in molecular dynamics s[...]

Recent advancements in manufacturing and post-processing of optics with sub-aperture methods have enabled greater degrees of freedom to realize complex optical surfaces. [...]

In this dissertation, we use theory and computation to conduct three projects in the area of nano-optics. In the first project, we study optical coherence conversion usin[...]