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Monday, July 8 • 17:30 - 17:50
A GAUGE TRANSFORMATION THEORY FOR METAMATERIALS

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Veselago's concept of negative permittivity and negative permeability also satisfy the dispersion relation of electromagnetic waves , gives rise to the form of artificial material known as metamaterials. This negativity property gives rise to negative lens able to capture the evanescent waves. However, the dispersion relation is unable to produce the phenomenon of cloaking which has to depend on coordinates transformation producing the bending of path of electromagnetic waves with no change in the form of the electromagnetic field equations. It was shown by Woon Siong Gan that both negative refraction and cloaking can be unified under the theory of coordinates transformation or gauge transformation. In fact negative refraction is a special case of cloaking when the transformation matrix equals -1. Subsequently it was shown that both negative refraction and cloaking can occur also in quantum metamaterial ,an entirely different field from classical metamaterial proposed by Veselago.In quantum metamaterial the dispersion relation does not give rise to negative permittivity and negative permeability.The gauge transformation theory has to be used. There are many similarities between electromagnetic waves and acoustics waves. and so the electromagnetic metamaterial has also been extended to acoustic metamaterial. But sofar there has been no quantum acoustic metamaterial yet. So there is tremendous potential in exploring this new field. For the acoustic metamaterial, the permittivity and permeability of em waves are analogous to the bulk modulus and the mass density of acoustic waves respectively.


Monday July 8, 2019 17:30 - 17:50 EDT
St-Laurent 5
  T08 Mat. for noise & vibr. cntrl., SS03 Ac metamtrl & phon crstl: fund & app