skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A new procedure for constructing basis vectors of SU (3)⊃ SO (3)

Authors:
ORCiD logo; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1345268
Grant/Contract Number:
SC0005248; FG02-13ER42025
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Nuclear Physics. A
Additional Journal Information:
Journal Volume: 952; Journal Issue: C; Related Information: CHORUS Timestamp: 2017-10-07 09:52:22; Journal ID: ISSN 0375-9474
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English

Citation Formats

Pan, Feng, Yuan, Shuli, Launey, Kristina D., and Draayer, Jerry P.. A new procedure for constructing basis vectors of SU (3)⊃ SO (3). Netherlands: N. p., 2016. Web. doi:10.1016/j.nuclphysa.2016.04.024.
Pan, Feng, Yuan, Shuli, Launey, Kristina D., & Draayer, Jerry P.. A new procedure for constructing basis vectors of SU (3)⊃ SO (3). Netherlands. doi:10.1016/j.nuclphysa.2016.04.024.
Pan, Feng, Yuan, Shuli, Launey, Kristina D., and Draayer, Jerry P.. 2016. "A new procedure for constructing basis vectors of SU (3)⊃ SO (3)". Netherlands. doi:10.1016/j.nuclphysa.2016.04.024.
@article{osti_1345268,
title = {A new procedure for constructing basis vectors of SU (3)⊃ SO (3)},
author = {Pan, Feng and Yuan, Shuli and Launey, Kristina D. and Draayer, Jerry P.},
abstractNote = {},
doi = {10.1016/j.nuclphysa.2016.04.024},
journal = {Nuclear Physics. A},
number = C,
volume = 952,
place = {Netherlands},
year = 2016,
month = 8
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.nuclphysa.2016.04.024

Save / Share:
  • Detecting and identifying weak gaseous plumes using thermal imaging data is complicated by many factors. There are several methods currently being used to detect plumes. They can be grouped into two categories: those that use a chemical spectral library and those that don’t. The approaches that use chemical libraries include least squares methods and physics-based approaches. They are "optimal" only if the plume chemical is actually in the search set but risk missing chemicals not in the library. The methods that don’t use a chemical spectral library are based on a statistical or data analytical transformation applied to the data.more » These include principle components, independent components, entropy, Fourier transform, and others. These methods do not explicitly take advantage of the physics of the signal formulation process and therefore don’t exploit all available information in the data. This paper presents initial results of employing basis vectors as a tool for plume detection. It describes the standard generalized least squares approach using gas spectra, presents the detection approach using basis vectors, and compares detection images resulting from applying both methods to synthetic hyperspectral images.« less
  • This paper describes a new method for predicting the detectability of thin gaseous plumes in hyperspectral images. The novelty of this method is the use of basis vectors for each of the spectral channels of a collection instrument to calculate noise-equivalent concentration-pathlengths instead of matching scene pixels to absorbance spectra of gases in a library. This method provides insight into regions of the spectrum where gas detection will be relatively easier or harder, as influenced by ground emissivity, temperature contrast, and the atmosphere. We relate a three-layer physics-based radiance model to basis vector noise-equivalent concentration-pathlengths, to signal-to-noise ratios, and finallymore » to minimum detectable concentration-pathlengths. We illustrate the method using an Airborne Hyperspectral Imager image. Our results show that data collection planning could be in°uenced by information about when potential plumes are likely to be over background segments that are most conducive to detection.« less
  • The moment equation approach to neoclassical transport is used to calculate neoclassical particle and heat fluxes, impurity transport, the ambipolar electric field, and momentum damping rates. These equations are often written in Hamada coordinates which makes it easier to obtain analytic solutions. However, previous simplifying assumptions used to evaluate the basis vectors analytically are often invalid for advanced stellarator configurations. In this paper, a numerical method is presented by which the Hamada basis set can be determined for an arbitrary three dimensional toroidal confinement device by integrating along a magnetic field line. The method is applied to the magnetic configurationmore » in the Helically Symmetric Experiment [F. S. B. Anderson, A. F. Almagri, D. T. Anderson, P. G. Matthews, J. N. Talmadge, and J. L. Shohet, Fusion Technol. 27, 273 (1995)] and compared to the large-aspect-ratio tokamak approximation to the basis set. The results indicate that the numerical technique is a more accurate method to specify the basis vectors, especially in a device with negligible toroidal curvature.« less