Hi sir Laxman Kumar Meena,
Your question seems very strange to me. Please where is it mentioned that MEEP 
or FDTD in general can not treat materials with negative values of permittivity?

I do know that Meep can simulate metals like Gold or Silver using their Drude 
or Lorentz-Drude models of permittivity. Witting   these models, Some values of 
 incident frequency lead to negative values of permittivity.

I have made some simulations of plasmon properties of nano-silver using its 
Drude model. So, you can also do it. 



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> Message: 1
> Date: Fri, 02 Jun 2017 23:33:51 +0530
> From: Laxman Kumar Meena <laxman.kumar.meena.ee...@ee.iitd.ac.in>
> To: meep-discuss@ab-initio.mit.edu
> Subject: [Meep-discuss] regarding Simulation of Surface plasmon
> Message-ID: <3cc541e4bae38826ab0dbc7435a6e...@ee.iitd.ac.in>
> Content-Type: text/plain; charset=US-ASCII; format=flowed
> 
> Respected Sir,
>                can meep Software simulate propogation of Surface 
> plasmon. because it does not take any negative value of relative 
> permitivity (real part) which is essential condition for existing 
> surface plasmon. so any way to simulate SP. please help me
> Thank you.
>  Laxman Kumar Meena
> Sophomore UG Student
> Indian Institute of Technology Delhi
> 
> 
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