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The nearly phase-matched second-harmonic generation between TM film modes is analyzed for a thin glass film on a semi-infinite isotropic metal. Nonlinear currents are generated in the metal via the surface plasmonlike evanescent tail of the TM modes. An analytical solution is formulated for the non-phase-matched harmonic field such that the wave equation is satisfied in all media and the nonlinear boundary conditions are continuous at all interfaces. The dispersion relations are solved for the TM modes of a fused silica film on isotropic silver and it is shown that the T M 1 mode at 1.06 μm is approximately phase matched to the T M 3 mode at 0.53 μm over a fairly large range of film thicknesses. Numerical calculations were made for this case and the theoretical cross sections indicate that experimental verification should be feasible.
Physical Review B – American Physical Society (APS)
Published: Sep 15, 1978
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