Solutions to Einstein's equations are usually found by considering ideal, simplified models. However, if the real world always matched ideal physics models, then farmers would milk black and white spheres. To combat this, Regge calculus was developed as a numerical approximation scheme for general relativity. In Regge calculus curved manifolds...
As responsible energy usage is becoming more and more a part of the public conscience, a key practice of this idea emerges. Specifically, using the energy we do have with maximum efficiency. While the laws of thermodynamics remain a limiting factor, research has been done to show that properties of...
- Collagen fibers are found in 25% of the whole body
protein content. They are highly adhesive to cells and
can be used as scaffold proteins that can promote cell
growth and be used to capture cells.
- In our lab, we use collagen to capture cancer cells in
order...
We developed an integration-based line detection algorithm. Existing line detection methods such as the Hough Transformation (HT) and its variants are insensitive to image noise. The reason is that HT finds lines by calculating the gradient of the image and assumes that the region where the gradient is the steepest...
We developed an integration-based line detection algorithm. Existing line detection methods such as the Hough Transformation (HT) and its variants are insensitive to image noise. The reason is that HT finds lines by calculating the gradient of the image and assumes that the region where the gradient is the steepest...
The calculation of interplanetary trajectories is a numeric problem which requires a high degree
of precision for the results to be accurate. A computer program was written for this project which
uses leapfrog integration combined with Newton’s method of iterative root finding to find ideal
interplanetary trajectories. Reasonable initial conditions...
We measure the charging and discharging of two organic materials, PCBM and ADT-TES-F. These materials are studied through the noncontact method of particle trapping known as Optical Tweezers, where an IR laser is used to constrain the motion of a coated or noncoated silica sphere while its positional data is...
Terahertz (THz) time-domain spectroscopy provides insight into electron dynamics in semiconductor heterostructures. High-field THz spectroscopy probes the excitonic nonlinear response of GaAs quantum well (QW) systems and enables the measurement of its coherent dynamics in the time-domain. Consequently, THz spectroscopy allows one to explore the fundamental properties of many-body interactions...
The relationship between the index of refraction and the porosity of a material is that the index decreases with respect to the porosity. This property can be used to change the index of refraction of films which allows control of the reflection of the material. This is important because being...
Terahertz (THz) frequencies of the electromagnetic spectrum have been underutilized when compared to neighboring microwave and infrared frequencies, largely due to the difficulties controlling and detecting these fields. In a step toward gaining control over THz frequencies, my advisor Dr. Yun-Shik Lee’s group experimentally demonstrated optical-pulse THz-control over a plasmonic...
A method for determining bandgap energy using diffuse reflection is presented. The method uses bifurcated fiber optic cables to measure the diffuse reflection of diffusely reflective materials. The absorption spectrum is extrapolated from the diffuse reflection spectrum and used to determine the bandgap of powdered materials. The theory of nonspecular...
Computational simulations of disks are becoming an important tool to predict the the evolution of protostars and disks to better understand the formation of planets. Past research has shown that the evolution of disks and their protostar can be altered through the interaction between gravity and hydrodynamic instabilities. We perform...
The ability to focus light through strongly scattering materials is opening up exciting new avenues in many fields, such as optics, computer vision, biology, and medicine, which utilize light delivery and imaging techniques. Efficient, high resolution wavefront shaping and optimization methods are crucial to enabling this new capability.
In this...
Different models show the effects of environmental decoherence on a quantum system
due to various environments of interest. One important quantity within these models is
the decoherence time, which tells us how quickly environments wash away the coherence of
local measurements. We can describe this effect as the quantum system...
An apparatus and method for calibrating planar laser induced fluorescence using a two-dye, two-color method was developed. A laser sheet was expanded from a 473 nm laser to excite dye solutions into higher energy states then fluoresced through spontaneous emission. The two fluorescent dyes selected for research and development were...
I investigate the feasibility of a micron-sized biosensor designed to measure neural activity. The circuitry of the biosensor is composed of graphene, some photodiodes, and a light-emitting diode. Many of these biosensors would be injected into a subject’s brain, and when powered by near-infrared light, they would glow in response...
TiO₂ typically crystallizes into three polymorphs: brookite, rutile, and anatase. The phase selection problem in TiO₂ is the lack of understanding what conditions cause amorphous TiO₂ to crystallize into one of its three polymorphs during an annealing process. It has been recently shown that phase selection in TiO₂ is highly...
The North American Nanohertz Observatory for Gravitational Waves (NANOGrav) is an international collaboration that seeks to use perturbations in the time of arrivals of pulsar signals to detect gravitational waves in the nanohertz range of frequencies. The 15-year data set will be released as of June 2023. It is a...
A great variety of topologically protected defects exist in ordinary and exotic states of matter. Some of them are promising candidates for technological applications such as magnetic memory or quantum computers. Others possess some properties of elementary particles that could lead to potential applications in quantum fields. Nematic liquid crystals...
This research specifically examines the collective motion of populations of MDA-MB-231 breast cancer cells under the influence of a chemo-attractant gradient. Their motion is compared to the mathematical model of a persistent random walk, measuring the persistence bias of the cells from their autocorrelation function and applying to the mean...