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SUMMARY:Wave localisation in high-contrast media - Bryn Davies (Imperial C
 ollege London)
DTSTART:20230321T100000Z
DTEND:20230321T103000Z
UID:TALK195622@talks.cam.ac.uk
DESCRIPTION:High-contrast particulate media are an attractive platform for
  microscopic wave control\, thanks to their ability to support resonance a
 t subwavelength scales. We have developed an asymptotic method for charact
 erising these high-contrast scattering problems\, which uses boundary inte
 gral representations to derive a characterisation of subwavelength resonan
 ce in terms of eigenstates of the generalised capacitance matrix (GCM). Th
 e GCM provides a concise framework to explore some of the important applic
 ations and exotic phenomena related to these materials. We will use this f
 ramework to show that introducing perturbations to periodic structures cre
 ates localised eigenmodes. We will see that these localised modes in large
  but finite-sized structures converge to those in infinite structures. Fur
 ther\, we will characterise the coupling between multiple localised modes 
 and observe a possible mechanism for the onset of Anderson localisation in
  random media. These results are collaborations with Habib Ammari and Erik
  Orvehed Hiltunen.
LOCATION:Seminar Room 1\, Newton Institute
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