Maxwell equations

Sunday, December 6, 2009 - 9:00am - 10:30am
Ali Nadim (Claremont Graduate University)
In this tutorial, a number of approaches to mathematical modeling
of electrowetting-on-dielectric (EWOD), also known as digital
microfluidics (DMF) will be reviewed. EWOD refers to methods for
causing droplets to move along solid surfaces or changing the
shapes of attached drops (e.g., to actuate a liquid lens) by applying a
potential difference between the drop and an underlying electrode,
separated from the conducting drop via a thin dielectric layer.
The main equation describing electrowetting is known as the
Tuesday, March 24, 2009 - 2:30pm - 3:15pm
Ali Nadim (Claremont Graduate University)
After a brief overview of electrohydrodynamics including Maxwell's electric stress tensor under AC fields where the medium has both conductive and dielectric characteristics, we focus on the problem of electrowetting actuation of sessile drops on a patterned array of electrodes with a thin dielectric coating.
Friday, March 6, 2009 - 10:55am - 11:25am
André Bandrauk (University of Sherbrooke)
Interaction of ultrashort intense laser pulses with molecular
media leads to
highly nonlinear nonperturbative effects which can only be
treated by large
scale computation on massively parallel computers. Single
molecule response to
such pulses leads to Molecular High Order Harmonic Generation,
MHOHG, (1), from
which one can synthesize new attosecond pulses necessary to
control electron
dynamics at the natural time scale of the electron, the
attoseocond (10**-18 s),
Monday, October 28, 2013 - 9:00am - 9:50am
Charles Epstein (University of Pennsylvania)
Using Hodge theory for a surface, we obtain a new representation for solutions to the time harmonic Maxwell equations in both bounded and unbounded domains of R^3. This representation has no spurious resonances, does not suffer from low frequency breakdown, and reduces standard boundary value problems to Fredholm equations of second kind. There are many interactions between the topology of the boundary and aspects of this representation.
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