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SUMMARY:A Quantum Graph Approach to Metamaterial Design - Tristan  Lawrie 
 (University of Nottingham)
DTSTART:20230510T123000Z
DTEND:20230510T133000Z
UID:TALK199267@talks.cam.ac.uk
DESCRIPTION:Since the turn of the century\, metamaterials have gained a la
 rge amount of attention due to their potential for possessing highly nontr
 ivial and exotic properties&mdash\;such as cloaking or perfect lensing. Th
 ere has been a great push to create reliable mathematical models that accu
 rately describe the required material composition. Here\, we consider a qu
 antum graph approach to metamaterial design. An infinite square periodic q
 uantum graph\, constructed from vertices and edges\, acts as a paradigm fo
 r a 2D metamaterial. Wave transport occurs along the edges with vertices a
 cting as scatterers modelling sub-wavelength resonant elements. These reso
 nant elements are constructed with the help of finite quantum graphs attac
 hed to each vertex of the lattice with customisable properties controlled 
 by a unitary scattering matrix. The metamaterial properties are understood
  and engineered by manipulating the band diagram of the periodic structure
 . The engineered properties are then demonstrated in terms of the reflecti
 on and transmission behaviour of Gaussian beam solutions at an interface b
 etween two different metamaterials. We extend this treatment to N layered 
 metamaterials using the Transfer Matrix Method. We demonstrate both positi
 ve and negative refraction and beamsteering. Our proposed quantum graph mo
 delling technique is very flexible and can be easily adjustedmaking it an 
 ideal design tool for creating metamaterials with exotic band diagram prop
 erties ortesting promising multi-layer set ups and wave steering effects.
LOCATION:Seminar Room 2\, Newton Institute
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