Speaker
Fotis Bairaktaris
Description
See the full Abstract at http://ocs.ciemat.es/EPS2018ABS/pdf/P5.1017.pdf
Advanced homogenization techniques in a tokamak plasma medium with
ellipsoidal blobs: Mathematical treatment
F.Bairaktaris1 , K. Hizanidis1 , P.Papagiannis1 , A.K.Ram2
1 National Technical University of Athens, Athens, Greece
2 Massachussets Institute of Technology, Boston,MA, USA
Homogenization of a dielectric mixture is not a new concept, as it dates back to 1996 [1] for
plasma mediums. All previous models that have been made have significant limitations. The
most basic existing model ignores the shape of the blobs [1], while the more advanced ones fall
short of correct predictions if the wavelength of the incoming beam is not much greater than
the radius of the insert dielectric. We present a new formalism, tailored for magnetized plasmas
which makes use of quantities that are known under Fourier transformations, such as Green’s
function and electric fields. This leads to a valid equation for any wavelength and blob (insert)
size, which will need no modification if the filling ratio exceeds 50% (current formalisms need
to invert the definitions of ambient plasma medium and blob in order to be valid). Finally, the
equation can in turn be integrated in the Fourier space and then solved numerically to give
the components of the dielectric tensor of the composite plasma medium. Results are only
dependent upon (but not limited by) blob size, and there are no restrictions on wavelength
magnitude.
References
[1] A. Sihvola, Homogenization of a dielectric mixture with anisotropic spheres in anisotropic background ,
Lund University (1996)
[2] T.G Mackay, A. Lakhtakia, Modern analytical electromagnetic homogenization, Morgan & Claypool Pub-
lishers (2015)
