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  Generalized Multi-latin Squares

  Lydia R. Kindelin

  The research explores properties of generalized multi-latin squares and proposes ways to construct them. Much like a Sudoku puzzle, generalized multi-latin squares have parameters restricting the symbols in an array. A (n, t, m, p, q)-generalized multi-latin square is an array consisting of n rows and n columns, where each cell is filled with m symbols from a collection consisting of t different symbols, any symbol appears in each row and in each column p times, and any pair of different symbols occur together q times. Understanding trivial examples, the properties, and the math behind the problem reveals multiple examples and a systematic way to build generalized multi-latin squares.

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  Graduate Community Fellowship at Daybreak

  Haylee Deluca

  The Fitz Center for Leadership in Community maintains partnerships with urban neighborhoods and supports students as they engage in service learning opportunities. Among the Fitz Center's many community leadership programs, graduate community fellows work with nonprofit organizations in the Dayton community. I have been working with Daybreak, an emergency youth shelter and transitional living program, while pursuing my master's degree in psychology. At Daybreak, one of my educational activities is to work directly with youth by managing the token economy. We use "Daybreak Dollars," which are designed to encourage productive activity, such as employment search and school attendance, through positive reinforcement. I have also collected data for the outcomes team that evaluates Daybreak's programming. The ongoing data analysis is investigating changes in income, education status, depression, and anxiety of youth throughout the course of their involvement with Daybreak. Further, I have case-managed youth in the program to develop skills on budgeting, time management, and other life skills. The experience with the Fitz Center and Daybreak has not only given me a unique opportunity to work with at-risk youth, but has informed my own research interests and graduate study.

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  Graphs With Small Intersection Dimension

  Patrick M. Lillis

  Graph Theory is a field concerned with abstract representations of data and data interactions. We study several classes of graphs and prove ways of representing such graphs as geometric shapes, namely k-dimensional axis-parallel boxes. This type of representation (called boxicity) is a notion that finds uses in social networks, ecology and operations research.

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  Health Belief Model and Risk-Seeking Behavior as Indicators of Chosen Listening Levels of Youth

  Frances D. Albanese

  Noise-induced hearing loss (NIHL) is the second most common form of hearing loss, affecting millions of Americans. Although there are required noise level regulations set for adults in the workplace, there are no such guidelines set for children, who are also subject to hearing loss, and potentially listening to iPods and MP3 players at harmful volumes. The Health Belief Model (HBM), which helps researchers understand the reasons for harmful behaviors, has been used to predict listening behavior in adults and children. Eighty-four participants aged 9-12 years old from Incarnation Elementary listened to a song on an iPod and answered questions regarding their desire and tendency to take risks and their listening habits. They also completed a Listening Habits Questionnaire that related the five subscales of the HBM to their beliefs about NIHL. Actual Chosen Listening Levels (CLLs) were determined from the iPod using a sound-level meter and compared with the Global Risk Taking Assessment and HBM scores. Although the Global Risk Taking Assessment is not a significant indicator of CLLs, the Health Belief Model does significantly predict CLLs. This research helps us understand the potential harm caused by listening at high volumes, as well as possible underlying reasons for this behavior.

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  Identification of a compound that disrupts the primosome function in Neisseria gonorrhoeae DNA replication restart

  Michael A. Jones

  Neisseria gonorrhoeae, the causative agent of gonorrhea, is a gram negative pathogen. Due to its highly adapted genome, this pathogen elicits resistance to the oxidative damaging agents released by neutrophils of an infected host. During DNA replication, DNA damage contributes to genome instability that hinders the progression of the replisome. Furthermore, the bacterial genome happens to be one of the important targets of these damaging agents. However, studies indicate that DNA replication restart pathways provide bacterial cells with a mechanism to reactivate replisomes that have been disrupted in this way. In N. gonorrhoeae, DNA replication restart is a process carried out by the primosome proteins PriA and PriB. The first part of my research contributed to understanding the features of this pathway. Evidence that PriA plays an essential role in resisting the toxic effects of oxidative damaging agents enhances the importance of DNA replication restart pathway for the survival of this infectious bacterium. Developing antibacterial agents that affect this pathway could be an essential discovery in the field of medicine. In this process, an enzyme based assay was developed to use in high-throughput screening to identify potential compounds that inhibit the DNA replication restart pathway in N. gonorrhoeae. An initial screening of over several thousand compounds has produced several lead compounds that may potentially block this pathway. I worked with two of the lead compounds, penicillin G potassium salt and paroxetine hydrochloride hemihydrate, and here I report the mechanism by which paroxetine disrupts the DNA replication restart pathway.

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  Identifying the DNA Sequence Requirements for a Synergistic Interaction Between Two Cis-Regulatory Elements

  Kaitlyn R. Francis

  My thesis research studies the genetic material that is the blue print to make animal life. In animals, a key type of genetic material is sequences collectively referred to as cis-regulatory elements (CREs). These sequences control the expression of genes; more specifically they instruct when to turn "ON" or "OFF" the production of a gene's functional product. My research investigates the interaction between the two CREs, the Anterior Element and Dimorphic Element, of the fruit fly species Drosophila melanogaster. These two CREs act synergistically to produce a pattern of expression for the bab1 and bab2 genes that differs between male and female flies. As synergistic CRE interactions have seldom been reported, my research has sought to identify the necessary sequences for this interaction. Learning more about CRE functions in fruit flies will facilitate a better understanding as to how CREs function in our own genetic material.

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  Improving the Techniques for Center of Mass Estimation Using Statically Equivalent Serial Chain Modeling

  Bingjue Li

  Any articulated system of rigid bodies defines a statically equivalent serial chain (SESC). The SESC is a virtual chain that terminates at the center of mass (CoM) of the articulated system. Moreover, this chain moves as the joints in the system move thereby keeping its terminus at the CoM. A SESC may be generated knowing only the types of joints in a system and the manner in which they are connected. The parameters in the SESC may then be determined from joint readings and the corresponding (projection of the) CoM location. The number of data points needed to determine the SESC parameters is linear in the number of joints in the articulated system. Three developments toward recognizing the SESC as a practical modeling technique are presented. First, a SESC is developed via experimentation for a spatial system. Second, a prediction for the number of readings to determine the SESC parameters in the presence of errors in joint readings and CoM locations is developed. Finally, a method for generating the parameters of the SESC in light of one body in the chain being fixed to ground is presented so long as the fixed body is the same as or the mirror image of a second body in the chain. This final development is useful in the study of humans or humanoids where one foot is typically left on the ground during balancing.

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  Independent Feeding Device

  Hariharan Ananthanarayanan

  The purpose of the Independent Feeding Device (IFD) is to increase the independence, dignity, and quality of life for the severely disabled by enabling them to autonomously feed themselves with appropriate supervision by a caretaker. The IFD transports a selected food item from the table to the mouth in an enjoyable, intuitive, and ergonomic fashion. For those physically incapacitated individual who possess the mental faculties, the IFD will provide a highly desirable solution that is affordable, attractive, and practical. In institutional settings, the IFD will substantially reduce the cost of labor associated with feeding incapacitated patients or residents while significantly increasing the quality of life for that same patient or resident.

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  Integrating Heart Rate and Eye Movement Measures as a Possible Robust Indicator of Workload in an Aviation Simulation Task

  Kylie M. Bushroe

  Flight missions and remotely piloted aircraft operations can be taxing on pilots and operators and sustained workload may lead to performance decrements. One possibility to prevent this decline is to monitor cognitive workload to provide information that can be used to proactively enable real-time assistance to pilots and/or operators before performance is degraded. Heart rate and eye measures are two psychophysiological measurements that have been demonstrated as sensitive indicators of an operator's functional state, specifically cognitive workload, during tasks of varying levels of difficulty. These metrics are typically studied separately, but may be more robust indicators if integrated. The current study examined the relationship between heart rate and eye movements in response to varying levels of task difficulty and automation reliability to determine if integrating these metrics added any value to discerning workload. The study simultaneously collected electrocardiogram (ECG) and eye-tracking data from ten participants as they performed an aviation simulation task. Difficulty levels of three subtasks were manipulated in addition to the automation reliability of a fourth subtask. Performance data were analyzed for changes based on task difficulty and automation reliability; performance changes were statistically significant as workload increased and automation reliability varied. Heart rate and specific eye measures (e.g., fixation duration, pupil size, and blink rate) will be analyzed for changes reflecting the workload and automation.

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  Investigation and Testing of Corrosion Inhibiting Polyphenolic Proteins

  William F. Nelson

  Flash rusting is a corrosion process in which steel rapidly oxidizes upon contact with air at a high relative humidity. The ultimate goal of this research is to develop a bio-inspired corrosion inhibitor that is both water-soluble and environmentally friendly and will inhibit flash rust on high strength steel (HY80) as well as corrosion on the aluminum alloy AA 5083. Several proteins involved in the formation of the adhesive byssal threads by the blue mussel Mytilus edulis L have been identified for their potential as corrosion inhibitors. The most important feature of these biomolecules for corrosion prevention applications is the presence of a post-translationally modified amino acid L-3, 4 dihydroxyphenylalanine (L-dopa). L-dopa has a well characterized ability to form strong bonds with metal ions, thus stabilizing the metal surface and inhibiting corrosion. In addition, when enzymatically treated, L-dopa containing proteins and polypeptides can participate in crosslinking reactions, which have been shown to lead to a thicker and more durable protein layer when applied to surfaces. In this study, HY80 steel coupons were treated with varying amounts of MAP-1, the largest and most well-characterized of the five mussel proteins, in varying buffer and enzyme content and exposed in an accelerated atmospheric corrosion chamber maintained at 40'C and 100% relative humidity. For comparison, identical HY80 samples were treated with a commercially available flash rust corrosion inhibitor under identical exposure conditions. The results show that enzymatically crosslinked MAP-1 can last for as long as 272 hours, 200 hours longer than the average control sample. Electrochemical measurements including cyclic polarization scans and electrochemical impedance spectroscopy (EIS) data were collected for HY80 samples treated with MAP-1 immersed in seawater. The results of these measurements and exposure tests will be presented and discussed.

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  Is Chivalry Really Dead? It Depends on When You Ask: Women's Reception of Benevolent Sexism Changes Across the Menstrual Cycle

  Erin A. Brady, Christina A. Indriolo, Caitlin M. Lenze, Bridget K. O'Mera, Carrie R. Underwood

  This current research explores whether benevolent sexism can serve as an evolutionarily advantageous strategy for females to attract mates. Benevolent sexism refers to a type of sexism (i.e. gender-based discrimination) that is considered to be positive in nature due to its focus on protecting and placing women 'on a pedestal.' However, benevolent sexism is damaging to women on a societal level because it reiterates masculine dominance. Research shows that men endorse benevolent sexism because it confirms existing social hierarchies. While women do not support hostile or aggressive forms of sexism that are overtly disparaging, women do endorse benevolent sexism because they believe it provides interpersonal benefits, although it is indeed marginalizing. The present study seeks to examine whether women endorse benevolent sexism during times of peak ovulation as a way to attract a potential mate. Past research has shown that when women are ovulating, they alter their behavior to conform and appeal to men's expectations. Research has also shown that, when ovulating, women spend more time altering their appearance to ostensibly attract a potential mate. In the present study, ovulation and endorsement of benevolent sexism will be measured to determine if benevolent sexism is a behavioral modification women adopt to attract a mate. The amount of time spent on appearance will be measured to determine if appearance mediates the relation between ovulation and benevolent sexism. The anticipated results predict that, in an effort to attract a mate, women will spend more time altering their appearance to look more pleasing to a mate when they are most fertile, and this will lead to an increase in endorsement of benevolent sexism.

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  Leadership Identity Development of LGBT-Identifying Students

  Jennifer M. Rentz

  Leadership identity has to do with who students are as leaders, their philosophy and perceptions of leadership, and their confidence in their abilities as leaders (Komives, Lucas, & McMahon, 2007; Komives, Owen, Longerbeam, Mainella, & Osteen, 2005). There is a scarcity in research literature regarding the intersection of LGBT and leadership identities. This study looked at the ways in which LGBT students develop their identities as leaders by engaging in leadership opportunities. Specifically, the question of what affects LGBT students' leadership identity development was addressed. Themes from past research have correlated LGBT students' leadership identity development with the influence of strong peer and adult mentors, opportunities for self-reflection, and experiences being part of a minority group. Individual interviews gave students who identify as LGBT the opportunity to share their leadership experiences and perspectives on what it means to be a leader. Their insights will help student affairs professionals provide resources, skills training, and guidance for this group of students to engage in leadership opportunities among their peers and to develop a positive view of leadership on campus.

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  Learning Outside of the Walls: Extra Curricular Activities and Student learning

  Mohrah M. Alshawiyah

  Examining the various benefits of integrating curricular and co-curricular experiences for the students on college campuses, this study posed the questions: What was the impact of student engagement in co-curricular activities on cumulative grade point average? What was the impact of student engagement in co-curricular activities on their quality of relations with others and community? Dependent variables included: academic performance, sense of community, and quality of the students' relation with others. Participation in the co-curricular activities was the independent variable. A questionnaire adapted from the campus life involvement survey was used to determine the various impacts of co-curricular activities on college students. The target population for this study was undergraduate students at the University of Dayton in the School of Education. The study targeted 200 participants whose ages were no less than 18 years old. Descriptive statistics were used to report frequencies, distributions, and tendencies. Inferential statistics were used to report the relationship between students' engagement and their level of academic achievement. Findings of this research study provided valuable information that will increase understanding of co-curricular impacts on student achievement, their quality of relations with others and their senses of community. The study provided insights about the undergraduate students' impacts from participation co-curricular activities on college campuses. This study provided significant information for the educators in higher education about the impacts of participating in these activates. Understanding how such activities support students through their college lives, professionals may be urged to encourage students to participate as a way to enhance their academic achievement, their quality of relationships with others, and their community.

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  Linguistic Factors Affecting the Social Status of the Hispanic Immigrant Population in Dayton, OH

  Alexandra M. VanLoon

  Because the recession has struck the city with such vigor, the Dayton government has adopted the Welcome Dayton Plan to inspire immigrants remain in the indebted city in hopes their efforts would augment the economy. Among its many proposals to help assimilation, Welcome Dayton plans to endorse classes that teach English to the immigrants to promote linguistic commonality. My study explores to what extent knowledge of English is a significant factor in the socioeconomic success among Spanish-speaking immigrants in Dayton. Using a sociolinguistic methodology, based on surveys and interviews, I will analyze how the social status of my informants correlates with their levels of English. In the Berry Summer Thesis Institute, I familiarized with the most relevant bibliography for my study, learned about the Hispanic community in Dayton, contacted organizations committed to helping Latinos, and finally, created the survey and interview to be used in the next stages of my investigation. More recently, I have administered my survey and begun synthesizing my information into a formal analysis. My research will benefit the Dayton Hispanic community in that it will identify the dominant linguistic factors that contribute to the definition of their social status. This information will empower the Hispanics with the knowledge of what linguistically hinders them as well as offer the community tools to better integrate them, which is the overall goal of the newly adopted Welcome Dayton Plan.

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  Low Alloy Steel Susceptibility to Stress Corrosion Cracking in Hydraulic Fracking Environment

  Ezechukwu Anyanwu

  The pipelines used for the process of hydraulic fracturing (aka fracking) process are constantly operating at very high pressure and thus are highly susceptible to Stress Corrosion Cracking (SCC). This is primarily due to the process of carrying out fracking at a shale gas site, where the hydraulic fracking fluid is pumped through these pipes at very high pressure in order to initiate fracture in the shale formation. While the fracking fluid is typically more than 99% water, other components are used as well as propping agents to hold the fractures open. Research into the occurrence of SCC reveals that SCC is engendered by a number of factors, of which two main contributors are stress in the pipe steel, and the particular type of corrosive environment that exists around the pipeline in the service setting. This current research is focused on the evaluation of the susceptibility of low alloy steel (C4340) to stress corrosion cracking in different environments as it relates to the hydraulic fracking fluid chemistry and operating conditions. These different environments are achieved by varying solution pH, component concentration and applied stress. Results of standard DC electrochemical measurements using C4340 sample coupons in the various solutions and applied stress conditions will be presented and discussed.

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  Mandatory Auditor Rotation: A Review and Analysis of Research from the last Decade

  Ben E. Foster

  Mandatory Auditory Rotation (MAR) continues to be a highly contested issue within the financial community and since the Public Company Accounting Oversight Board's (PCAOB) recent concept release in August of 2011 on MAR there has been an increased level of interest in the issue. If the financial community and general public are to have an informed debate on such an important topic, then the interested parties need to have access to independent information on the matter in order to develop educated opinions on what is best for the markets. Unfortunately, the last true synthesis of such information came in 2004 when the Government Accountability Office (GAO) published a study on MAR as required by the Sarbanes-Oxley Act (SOX). This thesis is intended to be used by others to educate themselves with up-to-date knowledge of research available on MAR. This thesis will review issues such as the impact if any, of audit firm rotation on audit quality, the cost implications of MAR, the effect of MAR on market participant's perceptions of auditor independence, and the experiences of countries adopting mandatory audit firm rotation. I present the arguments and research, use the information to offer my own advice to policymakers and regulators on what will be best for the markets. The work creates a synthesis of the independent information available on MAR which will allow policymakers as well as the public to form a more educated opinion on what is the best path to take.

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  Mechanistic studies of inhibitors of DNA replication restart pathways in Neisseria gonorrhea

  DRK Chaitanya Aduri

  Complete and faithful replication of a cell's genetic information is an essential process. Many enzymes are involved in the successful duplication of genetic information and the integrity of these enzymes can be compromised when they encounter DNA damage. Bacterial cells use a pathway called DNA replication restart to resume DNA replication following a disruptive encounter of the DNA replication enzymes with DNA damage. This pathway is catalyzed by primosome proteins, including PriA, PriB, PriC, DnaT, DnaB, DnaC, and DnaG. The importance of DNA replication restart for bacterial cell survival is demonstrated by the inability of strains that carry mutations in key primosome genes to grow and resist DNA damaging agents. Furthermore, this pathway is specific for bacterial cells: human cells don't use the same replication restart pathway and they don't encode genes for the primosome proteins that function in bacteria. Since DNA replication restart pathways are essential for bacterial cell growth and survival and are notably absent in human cells, we seek to answer the following question: can bacterial DNA replication restart pathways be targeted with novel antibacterial compounds? In order to answer this question, we have developed an enzyme based assay for high-throughput inhibitor screening to identify compounds that block the function of the primosome proteins PriA and PriB. Several interesting lead compounds have already been identified from the preliminary screening. In this study, the lead compounds have been validated as legitimate inhibitors and characterized with respect to their potency and mechanism of action.

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  Modeling Complex Distillation Columns for Ternary Mixtures

  Joseph A. Terrano

  Distillation is one of the most common processes used to separate liquid mixtures of chemical species with differing boiling points. Simple distillation columns are a single column with two product streams; complex columns may have three or more product streams and smaller side columns. It is difficult to simulate a complex column without a good initial estimate of key parameters such as the number of equilibrium stages and the reflux ratio. The goal of this thesis is to develop a software package that models the minimum reflux ratio, minimum number of stages and the column profiles in complex distillation columns with side-stream columns.

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  Multi-Scale Local Fourier Phase Based Feature Learning for Single Image Super Resolution

  Sai Babu Arigela

  Most of the image/video processing and computer vision applications depend on the high quality image frames. Given a low resolution input, the proposed method uses multi-scale local directional Fourier phase features to adaptively learn a regression kernel based on local covariance to estimate the high resolution image. This method uses image features to learn the local covariance from geometric similarity between low resolution image and its high resolution counterpart. For each patch in the neighbourhood, we estimate four directional variances in three different scales to adapt the interpolated pixels. We use a non parametric kernel regression to learn the characteristics of local directional edge features. The Gaussian steering kernel which has the capability to elongate, rotate and scale along the edge regions is used. The parameters of elongation, rotation and scale are estimated automatically from the image local region. We apply these weights to estimate the interpolated pixels to get the high resolution image. The experimental results show that the proposed algorithm performs better than other state of the art techniques especially at higher resolution scales. This can be applied to improve the performance of object classification system on wide area motion imagery.

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  Music Technology in Secondary Music Education: Reaching the 80%

  Natalie N. Erdy

  The majority of United States school music programs engage nearly every student in the elementary grades. In the secondary schools, however, they tend to become too overly specialized and exclusive. With band, choir, and orchestra often the only options for music participation in secondary schools, this leads to only a small percentage of the student population involved in music education. Courses in music technology are hands-on and relevant to the current student population. These courses can help increase the percentage of 'non-traditional' music students involved in creating music while fulfilling the National Standards for music education. Music technology is also unique because even students with special needs can be involved. This poster presentation will take a look at the music programs of schools in the Dayton area and what they have to offer for non-traditional music students, as well as examining the benefits of such programs

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  Mutation Frequency in Mouse Embryonic Stem Cells After Exposure to Carbon Nanomaterials

  Jacqueline L. Severt

  Nanomaterials are materials with morphological features of nanoscale dimension, often possessing unique electrochemical properties due to such dimension sizes. Nanomaterials are becoming increasingly valuable, particularly with applications in fields of biomedical, electrical, optical and materials science and technology. While much investigation is still required, current research suggests that nanomaterials could pose a risk to human health. The intention of this research is to investigate mutagenesis and mutation frequency in mouse embryonic stem cells, which are cells derived from an early-stage developing embryo. These cells possess unique properties of self-renewal and pluripotency. This study investigated the mutation frequency of mouse embryonic stem cells following treatment exposure to carbon nanofibers, carbon nanotubes, and multi-walled carbon nanotubes.

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  National Science Foundation - Research Education for Teachers and the Experience for Students

  Ronald J. Backhaus, Alyssa M. Depaola, David H. Foster, Jessica Messick, Erin L. Patterson, Benjamin M. Schultheis, Christopher V. Wagner, Rachel K. White, Erin M. Yacovoni

  The National Science Foundation ' Research Education for Teachers was comprised of nine students, five engineering and four education, and a large number of professional educators and engineers. The program lasted six weeks and allowed for the students and professionals to explore both STEM curriculum development and engineering design challenges. This program was intended to be an educational experience for everyone involved: the education students were presented with a broader knowledge of the different fields of engineering, and the engineering students gained insight into the standards and development of STEM curriculum. The program was a success from the perspective of participating students, as each found it to be a positive experience which affected their personal educations as they move through their college careers.

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  Neural Correlates of Human Trust in Automation

  Catherine E. Devlin

  My thesis was conducted Wright Patterson Air Force Base. This study focuses on the development of trust with a computer system and its neural correlates. This was accomplished looking at EEG data from participants as they perform a task that is automated, AF_MATB.

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  Nonlinearly Induced Refractive Index Measurements by Using a Probe Beam.

  Ujitha A. Abeywickrema

  Self phase modulation is a nonlinear effects that is observed when a laser beam is focused on to a high-absorbing thermal medium. The refractive index of the medium changes due to the heat generated by the focused laser pump beam. In this paper, self phase modulation is investigated in different ways. An Ar-Ion laser of 514 nm is used as the pump beam and a 632 nm He-Ne laser is used as the probe beam. The probe beam is introduced from the opposite side of the pump beam. Ring patterns are observed from the each side of the sample. Regular far field ring patterns are observed from the pump beam, and two sets of rings are observed with the probe beam. The behavior of these inner and outer rings are monitored for different pump powers. A regular tea sample in a plastic cuvette is used as the nonlinear absorbing sample. The steady state heat equation is solved to obtain an exact solution for the radial heat distribution and far field ring patterns are simulated using the Fresnel'Kirchhoff diffraction integral. Ring patterns are theoretically explained using simulations results, and compared with experimental observations. Finally, an interferometric setup using the low power He-Ne laser is also used to determine the induced change in refractive index. Results are compared with those obtained directly from self-phase modulation and from the probe beam method.

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  Non-linear regulation of power quality within a microgrid consisting of multiple distributed generators (solar, wind, etc.)

  Thanigasalam Chettiyar

  Microgrids are important because of their ability to provide a greener solution to obtain reliable, secure and sustainable electricity from renewable sources of energy. The power quality issues observed in a microgrid are very different as compared to the traditional grid as a microgrid can be islanded i.e. disconnected from the main grid. These issues are of significant importance to researchers dealing with microgrids because the reliability of the grid and all the nodes (households) connected to it depends on it. Currently, the power quality issues - total harmonic content and transient coupling between real and reactive power - have been studied only for a single distributed generation (DG) unit connected to a grid. However, under practical conditions, the microgrid would have more than one DG (Ex: solar, wind, and other renewable or non-renewable generation sources) connected to it. The current proposal seeks to study the power quality issues for a microgrid consisting of multiple DGs. This area of research would contribute to achieving seamless transition between grid connected and islanded modes of microgrid operation. A Newton-Raphson based non-linear feed-forward algorithm used to regulate power flow will be evaluated on a microgrid model consisting of multiple DGs. The proposed microgrid model follows the CERTS architecture for modeling microgrids. The Lyapunov Direct method would be used to evaluate system stability. The expected results - near-zero total harmonic content and transient coupling - would increase the practical implementability of microgrids.