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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:A Quantum Graph Approach to Metamaterial Design -
Tristan Lawrie (University of Nottingham)
DTSTART;TZID=Europe/London:20230510T133000
DTEND;TZID=Europe/London:20230510T143000
UID:TALK199267AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/199267
DESCRIPTION:Since the turn of the century\, metamaterials have
gained a large amount of attention due to their p
otential for possessing highly nontrivial and exot
ic properties&mdash\;such as cloaking or perfect l
ensing. There has been a great push to create reli
able mathematical models that accurately describe
the required material composition. Here\, we consi
der a quantum graph approach to metamaterial desig
n. An infinite square periodic quantum graph\, con
structed from vertices and edges\, acts as a parad
igm for a 2D metamaterial. Wave transport occurs a
long the edges with vertices acting as scatterers
modelling sub-wavelength resonant elements. These
resonant elements are constructed with the help of
finite quantum graphs attached to each vertex of
the lattice with customisable properties controlle
d by a unitary scattering matrix. The metamaterial
properties are understood and engineered by manip
ulating the band diagram of the periodic structure
. The engineered properties are then demonstrated
in terms of the reflection and transmission behavi
our of Gaussian beam solutions at an interface bet
ween two different metamaterials. We extend this t
reatment to N layered metamaterials using the Tran
sfer Matrix Method. We demonstrate both positive a
nd negative refraction and beamsteering. Our propo
sed quantum graph modelling technique is very flex
ible and can be easily adjustedmaking it an ideal
design tool for creating metamaterials with exotic
band diagram properties ortesting promising multi
-layer set ups and wave steering effects.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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