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SUMMARY:Quasiperiodic waveguides and metamaterials: super band gaps and ap
 plications - Dr Bryn Davies\, University of Warwick
DTSTART:20251124T160000Z
DTEND:20251124T180000Z
UID:TALK235276@talks.cam.ac.uk
CONTACT:Dr Matthew Nethercote
DESCRIPTION:Quasicrystals have exotic spectra that are challenging to unde
 rstand and are the basis of longstanding problems in spectral analysis. Th
 ere is also significant excitement about utilising these exotic spectra fo
 r wave control applications. The first part of this talk will focus on met
 hods for predicting the main spectral gaps in a quasiperiodic waveguide. A
  common approach is to approximate the spectrum of a quasicrystal with a p
 eriodic approximation\, known as a supercell. We present results that prov
 e that supercell approximations give accurate predictions of the main spec
 tral gaps. This analysis is based on characterising the growth of the unde
 rlying recursion relation. We refer to these main gaps as “super band ga
 ps”\, a notion we will define appropriately.\n\nThe second part of the t
 alk will present recent work to develop applications of the exotic spectra
 l properties of quasicrystals to wave energy harvesting. We have shown tha
 t the rainbow trapping phenomenon of graded metamaterials can be combined 
 with the fractal spectra of quasiperiodic waveguides to give a metamateria
 l that performs fractal rainbow trapping. This is achieved through a grade
 d cut-and-project algorithm that yields a projected geometry for which the
  effective projection angle (and corresponding local band gap structure) i
 s graded along its length\, leading to broadband ‘fractal’ rainbow tra
 pping. We have demonstrated this principle by designing and building an ac
 oustic waveguide.
LOCATION:Centre for Mathematical Sciences MR2\, CMS
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