Cecil,

To compute near-field enhancement, just output field values Ex, Ey, and Ez in the region of interest of your simulation using a 2- or 3-D volume. Enhancement is given by |E|^2=|Ex|^2+|Ey|^2+|Ez|^2. It would also be wise to follow the identical procedure in the absence of your structure (a "normalization" run) to obtain an |E|^2 value for your incident field value. Divide the first by the second and you have normalized near-field enhancement. It's ideal to Fourier transform your data sets and place them in the frequency domain first so you can obtain enhancement as a function of frequency. Note however that you'll need to use illumination with a Gaussian pulse source spanning your bandwidth of interest.

To calculate the scattering cross section is a little more involved. Define 2-D volume surfaces that surround your structure in a cubic fashion, and output the in-plane E and B-field components for each of these volumes. Do the same with a "normalization" run. Obtain "scattered field" values as E_scat=E_total-E_norm for each field component. With the scattered field values, compute the integrated outbound flux from each 2-D surface volume with the formula for the Poynting vector. Again, you should Fourier transform your scattered field data sets first if you're interested in a frequency-dependent scattering cross section. Add your total outbound fluxes together, and finally divide by the per-pixel incident flux. Calculate the incident flux with the "normalization" data sets over whichever 2-D volumes you consider to be facing your illuminating source. I've obtained scattering efficiencies in agreement with the literature following these prescriptions using Meep.

Remember that the "normalization" run is crucial for definition of your "incident" field as well as for computing the scattered fields. And lastly, be sure to employ a model for the frequency-dependent dielectric function of your metallic sphere which is accurate in your bandwidth of interest. There are several such published material models.

Best of luck,
Alex
____________________________________________________________________

Alexander S. McLeod
B.A. Physics and Astrophysics - University of California at Berkeley
Simulation Engineer - Theory Group, Molecular Foundry (LBNL)
Site Lead - Network for Computational Nanotechnology at Berkeley / MIT
[email protected]    707-853-0716
____________________________________________________________________
On Jul 17, 2010, at 9:00 AM, [email protected] wrote:

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Today's Topics:

  1. FW: Information Required (cecil chalmers)

From: cecil chalmers <[email protected]>
Date: July 17, 2010 4:48:17 AM PDT
To: <[email protected]>
Subject: [Meep-discuss] FW: Information Required


Dear meep users,
I think nobody read my 1st email, thats why i am sending you again. Please somebody tell me how to calculate the Near Field Enhancement and Scattering cross section of metallic nanosphere in meep?

Best Regards,
C.C




From: [email protected]
To: [email protected]
Subject: Information Required
Date: Wed, 14 Jul 2010 12:35:24 +0200

Dear MEEP Users,
Does anybody know how to calculate the Near field Enhancement and Scattering Cross Section of metallic nanoparticles in MEEP?

Thanks.

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