Relative permittivity/permeability for metamaterial

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hpjack
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Hi Guys,

Don't know if I posted at the right place...
can anyone tell me how to calculate the relative permittivity/permeability of a 3D microwave metamaterial for Q-band (wavelength ranging from 6mm to 9mm)?
 
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From refractive index and impedance at certain frequency.
For example, This paper deals with THz range, but described principles hold in general