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Physgirl 101

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I'm doing some theory for my research, and I'm stuck! I'm trying to figure out why the absorption spectrum peaks at 420nm for silver nanoparticles. I know that this is expected for silver--I understand conceptually what's going on... but am trying to show it mathematically.

I'm trying to mathematically show why light of a given frequency (which matches the resonance frequency of the material) causes an increase in absorbance, and why/how this absorbance band broadens with nanoparticle size... I know the plasmon resonant frequency, Mie theory, and polarization all have something to do with it, but can't make the jump to modeling.

Does anyone know a good resource that I can check out to better understand how to model this? (forgive me--I'm an experimentalist-in-training)

Thanks!

-Physgirl