Speaker
Description
See full abstract here:
http://ocs.ciemat.es/EPS2019ABS/pdf/P2.1101.pdf
Homogenization methods for dielectric mixtures have existed for over two decades, but their limitations regarding the wavelength of incoming beam did not allow them to be used extensively in tokamak plasmas. We present a new method which does not have the same limitations, with application to a dielectric plasma mixture with embedded filamentary structures of different density than the background plasma. Polynomial chaos expansion (PCE) method determines, in a computationally efficient way, the evolution of uncertainty in a dynamical system due to the probabilistic uncertainty in the system parameters. By use of the PCE method we calculate the statistical properties of the output (reflection-transmission) of a slab-scattering system for uncertain parameters regarding tokamak plasma and blobs and in conjunction with the homogenization method to approximate the plasma-blob dielectric mixture.
References
A. Sihvola: Homogenization of a dielectric mixture with anisotropic spheres in anisotropic background , Lund University, 1996
T.G. Mackay, A. Lakhtakia : Modern Analytical Electromagnetic Homogenization , Morgan & Claypool Publishers, 2015
D. Xiu, G. E. Karniadakis : The Wiener-Askey polynomial chaos for stochastic differential equations , SIAM journal of scientific computing, 2002
(*) This work has been carried out within the framework of the EUROfusion Consortium and has received funding from the Euratom research and training programme 2014-2018 and 2019-2020 under grant agreement No 633053 (except author A.K.R.). The views and opinions expressed herein do not necessarily reflect those of the European Commission. A.K.R. is supported by the US Department of Energy grant nos. DE-FG02-91ER-54109 and DE-FC0201ER54648.
