A5085049411- Advanced Fiber Laser Technologies
- Mechanical and Optical Resonators
- Mathematics and Applications
- Optimization and Search Problems
- Orbital Angular Momentum in Optics
- Spectroscopy and Laser Applications
- Bayesian Methods and Mixture Models
- Optical Polarization and Ellipsometry
- Vehicle Routing Optimization Methods
- Bayesian Modeling and Causal Inference
- Force Microscopy Techniques and Applications
- Relativity and Gravitational Theory
- Artificial Intelligence in Healthcare
- Advanced Optical Sensing Technologies
- Meteorological Phenomena and Simulations
- Hydrology and Drought Analysis
- Imbalanced Data Classification Techniques
- Adaptive optics and wavefront sensing
- Advanced Algebra and Geometry
- Advanced Statistical Methods and Models
- DNA and Biological Computing
- Statistical Methods and Bayesian Inference
- Advanced Measurement and Metrology Techniques
- Semiconductor Lasers and Optical Devices
- Diamond and Carbon-based Materials Research
Brookhaven National Laboratory
2022-2025
Stony Brook University
2023
American University of Ras Al Khaimah
2023
Tarleton State University
2009-2020
New Mexico Institute of Mining and Technology
2015
The Hanbury Brown–Twiss (HBT) effect holds a pivotal place in intensity interferometry and gave seminal contribution to the development of quantum optics. To observe such an effect, both good spectral timing resolutions are necessary. Most often, HBT is observed for single frequency at time due its limitations dealing with multifrequencies simultaneously, halting limiting some applications. Here, we report fast data-driven spectrometer built one-dimensional array single-photon-sensitive...
Classical optical interferometry requires maintaining live, phase-stable links between telescope stations. This requirement greatly adds to the cost of extending long baseline separations and limits on baselines will in turn limit achievable angular resolution. Here we describe a novel type two-photon interferometer for astrometry, which uses photons from two separate sky sources does not require an link Such techniques may make large increases interferometric practical, even by orders...
The Hanbury Brown-Twiss (HBT) effect holds a pivotal place in intensity interferometry and gave seminal contribution to the development of quantum optics. To observe such an effect, both good spectral timing resolutions are necessary. Most often, HBT is observed for single frequency at time, due limitations dealing with multifrequencies simultaneously, halting limiting some applications. Here, we report fast data-driven spectrometer built one-dimensional array single-photon-sensitive...
Classical optical interferometery requires maintaining live, phase-stable links between telescope stations. This requirement greatly adds to the cost of extending long baseline separations, and limits on baselines will in turn limit achievable angular resolution. Here we describe a novel type two-photon interferometer for astrometry, which uses photons from two separate sky sources does not require an link Such techniques may make large increases interferometric practical, even by orders...
Abstract The development of the trigonometric functions in introductory texts usually follows geometric constructions using right triangles or unit circle. While these methods are satisfactory at elementary level, advanced mathematics demands a more rigorous approach. Our purpose here is to revisit trigonometry from an entirely analytic perspective. We will give comprehensive treatment sine and cosine show how derive familiar theorems without reference definitions constructions. Supplemental...
We present a single-photon-sensitive spectrometer, based on linear array of 512 single-photon avalanche diode detectors, with 0.04 nm spectral and 40 ps temporal resolutions. employ fast data-driven operation that allows direct measurement time frequency for simultaneous single photons, time- frequency-stamping each detection. Our results combine excellent resolution. benchmark our result against the Heisenberg Uncertainty Principle limit hbar/2 energy, we are only factor 10 above it,...
Observations using interferometers provide sensitivity to features of images on angular scales much smaller than any single telescope, the order Δ<i>θ ∼ λ/b</i> where b is interferometric baseline. Present-day optical are essentially classical, interfering photons with themselves. However, there a new wave interest in interferometry multiple photons, whose mechanisms inherently quantum mechanical, which offer prospects increased baselines and finer resolutions among other advantages. We will...
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Elevated levels of nitrate, well in excess drinking water standards, occur the Middle Trinity aquifer underlying Central Texas. Agricultural businesses such as Concentrated Animal Feed Operations (CAFOs) are common this region; improper management waste, particularly manure, at these sites has resulted impairment resources by nutrients nitrogen. While several studies have investigated impact chemicals released from CAFOs on Bosque River, there been limited attempts to characterize...
We describe a novel type of two-photon interferometer, capable spectral binning, for quantum-assisted astrometry. also demonstrated single-photon spectrometer with and timing resolutions 0.1 nm 50 ps, which can be used this purpose. This work opens new possibilities in future astronomical measurements.
In the Traveling Salesman Problem (TSP), a list of cities and distances between them are given. The goal is to find shortest possible route that visits each city exactly once returns original city. TSP has wide range applications in many different industries including, but not limited to, optimizing mail shipping routes, guiding industrial machines, mapping genomes, improving autonomous vehicles. For centuries, traveling salesmen, politicians, circuit preachers have tackled their own...
The development of the trigonometric functions in introductory texts usually follows geometric constructions using right triangles or unit circle. While these methods are satisfactory at elementary level, advanced mathematics demands a more rigorous approach. Our purpose here is to revisit trigonometry from an entirely analytic perspective. We will give comprehensive treatment sine and cosine show how derive familiar theorems without reference definitions constructions.
Abstract In a previous paper (Gresham et al. 2019), the properties, theorems, and identities of sine cosine functions were developed using only analytical methods without geometric constructions. We follow those results use them to develop generalizations key theorems trigonometry, again purely methods. conclude with connection Law Conservation Energy in physics.