Abstract
In this work, we have derived an expression for the second-harmonic generation from metal surfaces under the modified Kretschmann geometry (or Sarid's geometry) based on the hydrodynamic theory of a free electron gas. Numerical calculation shows that the harmonic generation is more than 2 orders of magnitude larger than that due to a single-boundary surface plasmon, if a long-range surface plasmon is excited on both sides of the thin silver film which is bounded by a glass substrate and an index-matched liquid. Resonant surface plasmons excited at some specific internal incident angles emanate a nonlinear wave with an intensity of 5 orders of magnitude greater than that due to long-range surface plasmon.
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