Non-geothermal optics study of wave propagation

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A statistical theory of growth curve analysis, which makes use of smoothing splines is formulated and coded for applications. We have tested our codes extensively using computer generated data superposed with random noise of various intensities, by simultaneously fitting all data with two independent variables. We are presently evaluating various experimental data in the MFE database by making use of our codes. Our preliminary results indicate that TFTR ohmic temperature profile shape depends almost exclusively on the edge plasma safety factor, q{sub a}, as was previously shown to be true for ASDEX plasma profiles. The main advantage of the utilization ... continued below

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Pages: (9 p)

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Imre, K. March 1, 1992.

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Description

A statistical theory of growth curve analysis, which makes use of smoothing splines is formulated and coded for applications. We have tested our codes extensively using computer generated data superposed with random noise of various intensities, by simultaneously fitting all data with two independent variables. We are presently evaluating various experimental data in the MFE database by making use of our codes. Our preliminary results indicate that TFTR ohmic temperature profile shape depends almost exclusively on the edge plasma safety factor, q{sub a}, as was previously shown to be true for ASDEX plasma profiles. The main advantage of the utilization of a simultaneous fitting of all (appropriately normalized) profiles as a function of more than one plasma parameter, is to improve significantly the signal to noise ratio. We also determine the amount of smoothing to be applied during the curve fitting process. An optimally selected smoothing helps to reduce the random noise, but yet allows the predictions to stay close to the data. In addition, the use of a multi-dimensional parameter field provides us with a uniformly valid representation. The curve fitting technique we employ uses a piecewise polynomial spline representation. However, we have eliminated the usually adopted method of setting a simple knot at every data point, for the reason that the experimentally obtained data is usually confined to the values of the plasma parameters bunched together in small intervals which are widely separated. Presently, we are using equally spaced knots.

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Pages: (9 p)

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OSTI; NTIS; INIS; GPO Dep.

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  • Other: DE92011806
  • Report No.: DOE/ER/54131-1
  • Grant Number: FG02-91ER54131
  • DOI: 10.2172/5504213 | External Link
  • Office of Scientific & Technical Information Report Number: 5504213
  • Archival Resource Key: ark:/67531/metadc1093049

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Creation Date

  • March 1, 1992

Added to The UNT Digital Library

  • Feb. 10, 2018, 10:06 p.m.

Description Last Updated

  • March 7, 2018, 1:10 p.m.

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Imre, K. Non-geothermal optics study of wave propagation, report, March 1, 1992; United States. (digital.library.unt.edu/ark:/67531/metadc1093049/: accessed December 9, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.