We present a new method of measuring optical near-fields within ~1 nm of a
metal surface, based on rescattering of photoemitted electrons. With this
method, we precisely measure the field enhancement factor for tungsten and gold
nanotips as a function of tip radius. The agreement with Maxwell simulations is
very good. Further simulations yield a field enhancement map for all materials,
which shows that optical near-fields at nanotips are governed by a geometric
effect under most conditions, while plasmon resonances play only a minor role.
Last, we consider the implications of our results on quantum mechanical effects
near the surface of nanostructures and discuss features of quantum plasmonics.Comment: 7 pages, 4 figure