Motivated by the Navier-Stokes equations, which are a set of unsolved equations related to fluid motion in R^3, we explored the incompressibility condition and the Neumann boundary problem. After exploring, we noticed that using iterated Riesz transforms of the boundary data could be used to get information about the velocity...
In 1877 John Kerr described an experiment that demonstrated a quadratic change in refractive index in a plate glass placed in a strong external electric field. This results in a nonlinear relationship between the average electric polarization within the materials and the intensity of the applied electric field. This opened...
Since the advent of graphene, research on 2D materials has exploded. Countless experiments have uncovered novel properties that emerge when different layered crystals are cleaved down to only a few atomic layers in thickness. The most popular of these non-graphene 2D materials is MoS2, a semiconductor which has been of...
Exciton polaritons are quasiparticles composed of a quantum superposition of matter and light states that arises from the coupling of a standing wave photon and an exciton. This research has two primary objectives: to design and fabricate a Fabry-Perot microcavity system in which to produce exciton polaritons; and to show...
Terahertz (THz) spectroscopy is a great tool not only to study fundamental physical processes such as many-body Coulomb interaction but also to develop ultrafast electronic devices. More specifically, intense THz fields interacting with semiconductors have exhibited strong nonlinear effect involving extreme carrier dynamics. In this experiment, intense THz radiation was...
Gamma ray bursts are some of the brightest events in the entire observable universe. Since the late 1960’s, thousands of gamma ray bursts have been observed and they have been researched extensively. However, there are still many mysteries which remain unsolved. One such mystery is whether or not the viewing...
Currently multi-canonical, and grand canonical Monte Carlo simulations exist, but do not always give all of the necessary information of the system. When using a 1-D (only changing in one variable) broad histogram Monte Carlo method a user would need to run a range of simulations in order to get...
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...
Multivariable functions permeate physics, mathematics, and other sciences. Understanding how quantities in multivariable relationships change together – or co-vary – is important for studying physical systems. In this project, we asked junior-level physics majors to describe the covariation of quantities in a multivariable context given a 2D graph. We identified...
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...
Using a plastic bottle, we explore the capabilities of a reflective phase-only Spatial Light Modulator (SLM) in removing wavefront aberrations using a Zernike polynomial phase mask, with the modulators phase depth limited to 0.8π radians. Wavefront aberrations, which can be modeled with Zernike polynomials, distort image transmission through various optical...
Plasmon induced transparency (PIT) describes a spectral response of coupled plasmonic resonators in that coupling between bright and dark modes leads to a destructive interference resulting in a narrow transparency window. This process has many applications in material characterization and advanced optical devices such as slow light devices or ultrafast...
The dynein molecule is a peculiar motor protein recognized for its unique stepping behavior. Sometimes it steps forwards. Other times it steps backwards. It has even been observed to occasionally shuffle by beginning a step with the same domain many times in row. These motions make dynein an interesting object...
Past studies have shown that students struggle with main concepts of potential energy, such as reading graphs, understanding that potential energy can be negative, and, most pertinent to this research project, connecting potential energy to force. I designed an activity to help introductory physics students address these struggles. The activity...
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...
The optical characterization of transparent conductive thin films is demonstrated. The basics of transparency and conductivity, as they relate to transparent conductor research, are explained. A functional model of the reflectance and transmittance of a sample film, including interference fringes, is derived from the Fresnel electric field amplitude coefficients. The...
Pulsed laser deposition was used to create 0.1-Bi(Zn₀.₅ Ti₀.₅)O₃-0.9-BaTiO₃ (BZT-BT) thin films to examine the effects of laser energy (2.25 or 2.5 J/cm²) , pulse frequency (2 Hz or 5 Hz), and deposition temperature (550, 600, 650, and 700°C) on the electrical properties of the films. These effects were analyzed...
In this project we measure the neutron capture cross section of ²⁰⁸Pb. We began by calibrating our silicon detector with ²⁰⁴Tl. Two experiments were then performed, the first in December of 1999 and the second in March of 2000. Both experiments were performed in the nuclear reactor of the Radiation...
We consider development of sand ripples in shallow water flows which do not reach an equilibrium height but have a time-varying ripple height that slowly reaches a maximum value and then is quickly destroyed by the fluid. A simple scenario to explain the time periodic behavior of the sand ripples...
Research was conducted to determine the thermoelectric behavior of Co₉S₈, Co₉Se₈, CoSe, CoTe₂, CoSbSexSl-x (x=O, 0.25, 0.50, 0.75, 1.0), CoSbTe, AuTe₂, AuTe₁.₉₀Sb₀.₁₀, Au₀.₉₅Pt₀.₀₅Te₂, Au₀.₉₅Ag₀.₀₅Te₂, MnTe₂, MnTe₁.₉₅Sb₀.₀₅, MnTe₁.₉₀Sb₀.₁₀, CoSb₂, and Co₀.₉₅Fe₀.₀₅Sb₂. Recently discovered sodium cobalt oxide compounds have been found to have large Seebeck coefficients coupled with favorable thermal and electrical...