Extra Applied Seminar - May 2008

27 May 2008
Professor A. Ramm - Dept. of Mathematics, Kansas State University, USA
Creating materials with a desired refraction index

Many-body scattering problem is solved asymptotically when the size of the particles tends to
zero and the number of the particles tends to infinity. A method is given for calculation of the
number of small particles and their boundary impedances such that embedding of these particles
in a bounded domain, filled with known material, results in creating a new material with a desired refraction coefficient. The new material may be created so that it has negative refraction, that
is, the group velocity in this material is directed opposite to the phase velocity. Another possible application consists of creating the new material with some desired wave-focusing properies. For example, one can create a new material which scatters plane wave mostly in a fixed given solid
angle. In this application it is assumed that the incident plane wave has a fixed frequency and
a fixed incident direction. An inverse scattering problem with scattering data given at a fixed
wave number and at a fixed incident direction is formulated and solved.

Please click here for a downloadable PDF for this event.

For previous Applied Seminars, please click here.

This seminar will take place at 4.00 pm in Room 500 which is located on the 5th floor of the Mathematics Department.  See Where to Find Us for further details.

If you require any more information on the Applied seminars please contact Professor Slava Kurylev e-mail: y.kurylev@ucl.ac.uk or tel: 020-7679-7895.

This page was last modified on May 6, 2010 by Helen Higgins