Surface-enhanced second-harmonic diffraction

Selective enhancement by spatial harmonics

Andrew C R Pipino, George C Schatz, Richard P. Van Duyne

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Surface-enhanced second-harmonic diffraction from a corrugated silver surface is studied as a function of the Fourier decomposition of the surface profile. Numerical results are obtained using the reduced Rayleigh equations for the linear and second-harmonic fields. Scattering of the surface-plasmon- polariton (SPP) -enhanced, evanescent nonlinear polarization wave into radiative channels is shown to provide a sensitive probe of spatial-harmonic content. The presence of a specific higher harmonic in the surface profile allows preferential scattering of the enhanced nonlinear polarization into a certain diffraction order where a higher-order scattering mechanism might otherwise be operative. The propagating orders can thereby be selectively enhanced, in some cases, by many orders of magnitude. Calculations are presented for symmetric profiles and a range of grating periods. The nature of these selective enhancements suggests that optimized profiles for second-harmonic diffraction into a particular order can be formed by a superposition of two appropriately selected Fourier components. To explore this possibility, gratings with groove densities of 1200 and 1290 grooves/mm were studied by first determining the enhancement of each of the propagating orders at their respective optimum groove depths, assuming a purely sinusoidal profile. A search for the maximum enhancement of each order was then performed by varying the amplitudes of the grating fundamental and relevant order-enhancing higher harmonic. For the two periods considered, optimized profiles were found. The degree of coupling to the SPP at the second-harmonic frequency is shown to be important in determining the optimized profile as demonstrated by the substantially different enhancing properties of these similar groove-density gratings.

Original languageEnglish
Pages (from-to)8320-8330
Number of pages11
JournalPhysical Review B
Volume49
Issue number12
DOIs
Publication statusPublished - 1994

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Diffraction
harmonics
augmentation
grooves
profiles
diffraction
gratings
Scattering
polaritons
Polarization
scattering
Rayleigh equations
polarization (waves)
Silver
Decomposition
silver
decomposition
probes
polarization

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Surface-enhanced second-harmonic diffraction : Selective enhancement by spatial harmonics. / Pipino, Andrew C R; Schatz, George C; Van Duyne, Richard P.

In: Physical Review B, Vol. 49, No. 12, 1994, p. 8320-8330.

Research output: Contribution to journalArticle

Pipino, Andrew C R ; Schatz, George C ; Van Duyne, Richard P. / Surface-enhanced second-harmonic diffraction : Selective enhancement by spatial harmonics. In: Physical Review B. 1994 ; Vol. 49, No. 12. pp. 8320-8330.
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