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SUMMARY:A Helmholtz resonator approximation for photonic and phononic crys
 tals
DTSTART:20180502T103000
DTEND:20180502T113000
DTSTAMP:20260916T064648Z
UID:60d93389e8b878c4afc03398293a8399946b75bedd7f1786a4dba83c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Filip Gampel\, Imperial College\, London\, UK\nWe consider aco
 ustic (or electromagnetic) waves in periodic systems of tightly packed\, s
 ound hard (metallic) inclusions in two dimensions. In this limit\, and for
  low frequencies\, the voids between the narrow gaps act as Helmholtz-like
  resonators\, so the system is equivalent to a set of masses connected by 
 springs. The calculations are performed for a number of different lattice 
 types and inclusion shapes. We also attempt the problem of similar systems
  in three dimensions\, as wall as of systems with a source located in one 
 of the voids. We argue that such crystals constitute a versatile class of 
 metamaterials as their entire acoustic branch (or branches when the discre
 te analogue is polyatomic) is squeezed into a subwavelength regime\, allow
 ing for very high refractive indices.\nThe fully analytical predictions ag
 ree with finite-element simulations. In particular\, we verify that the fr
 equencies scale like the ratio of gap width to lattice constant raised to 
 the power 1/4.
LOCATION:ppb 019
STATUS:CONFIRMED
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