  This work studies the limits of far and near-field electromagnetic response
of sub-wavelength scatterers, like the unitary limit and of lossless
scatterers, and the ideal absorption limit of lossy particles. These limit
behaviors are described in terms of analytic formulas that approximate finite
size effects while rigorously including radiative corrections. This analysis
predicts the electric and/or magnetic limit responses of both metallic and
dielectric nanoparticles while quantitatively describing near-field
enhancements.
