"Transmission Anomalies in Dielectric and
Metallic Photonic Crystals" by Stephanos Venakides
Thursday, February 28th, 2013 from 12:00-1:00pm
CREOL Room 102
Stephanos Venakides, Duke University
Joint work with Stephen Shipman, LSU
Abstract:
We describe the transmission anomalies that we observed
numerically in the electromagnetic transmission coefficient of dielectric and
metallic photonic crystal (PC) slabs or films and we present an asymptotic
formula for the resonant enhancement. Central to calculating the transmission
anomalies is the perturbation of three coincident zeros-those of the dispersion
relation for slab modes, the reflection constant, and the transmission
constant. On the spectral side, the eigenvalue which corresponds to a guided
mode is perturbed off its imbedded position on the real axis and turns into a
resonance. The theory applies to very general geometries of the unit
cell. In the particular case of extraordinary transmission (EOT) in a
periodically perforated metallic PC films, we take into account the geometry
and pinpoint the resonance with great precision near the frequency of the first
Raleigh anomaly in a combined analytic/numerical approach. Furthermore,
we demonstrate that a thin transmission spike observed in simulations is not
seen in experiments because of imperfectly collimated incident beams.
Biography:
Stephanos Venakides is a Professor of Mathematics at Duke
University. He received his Ph.D. from the Courant Institute of Mathematical
Sciences in 1982, after graduating from the School of Electrical and Mechanical
Engineering of the University of Athens (Greece) in 1969, subsequently working
as an engineer in the industry for seven years and receiving an M.S degree in
applied mathematics from Georgia Tech in 1979. In 1982, he joined the faculty
of the Department of Mathematics at Stanford University as assistant
professor and moved to Duke University in 1986, first as associate
professor and since 1991 as professor. His research interests include partial
differential equations and integrable systems, linear and nonlinear
optics and the analysis of coherent structures in optical systems,
electromagnetics in general, quantum physics and polaritons, as well as the
investigation of the forces of morphogenesis in biology. In 2005 he gave
one of the three Abel lectures at the award of the Abel Prize to Peter D. Lax,
by the Royal Academy of Norway in Oslo.
For more information:
Dr. Bahaa Saleh
Dean & Director, Professor of Optics
407-823-6834
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