Dear meep users and experts:

I am really stuck, and I need your help.

I am trying to implement a real metal material such a silver (Ag) or gold (Au): 
these are materials with a negative real relative permittivity and a positive 
imaginary permittivity.  According to “Materials in Meep” it should be possible 
to characterize the leading (frequency independent) term of the complex 
permittivity by specifying the real epsilon (for metals this is a negative 
number) and the D-conductivity.  The D-conductivity is expressed in terms of 
the imaginary part of epsilon (see the first equation on the “Materials in 
Meep” page).  If one knows the real part and the imaginary part of the 
permittivity at a given wavelength of interest, then one knows the 
D-conductivity at that wavelength, and one should be able to use meep to 
simulate the electromagnetic fields in and around an object characterized by 
that material.  So far so good…it works as advertised for positive real 
permittivities, but generates NaN fields if negative real permittivities are 
invoked.

A frequency-dependent Drude or Lorentz expression always has as the leading 
term the same frequency-independent expression as described above.  So if the 
D-conductivity approach at fixed wavelength (or frequency) does not work, then 
there is no reason to expect the Drude-Lorentz expressions to work either.

The use of the “metal” material, which is a perfect electrical conductor (PEC), 
does produce meaningful fields in meep.  The PEC is characterized by epsilon -> 
 negative infinity without loss (imaginary permittivity = 0).  Since “metal” 
works, one would think that a large negative real epsilon and reasonably small 
loss term would work as well and would show slight field penetration into these 
materials (skin depth), etc.

If someone has a little piece of meep code that they could show me as an 
example of a real metal, I would be most grateful.  I just don’t see any way 
forward from here.

Best regards,

John WEINER
22 Ave. de la Sibelle
75014 Paris
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