Nonlinear electromagnetic response of corrugated metallic gratings

Gigli, Miriam L.; Inchaussandague, Marina E.; Valencia, Claudio I.; Mendez, Eugenio Rafael Mendez

doi:10.1364/josab.28.001940

“…In this section, we describe the theoretical approach employed to solve this nonlinear diffraction problem. When possible, we shall omit details that can be found in previous publications on the subject [51,52] that dealt only with the case of p-polarized illumination.…”

Section: Theorymentioning

confidence: 99%

“…( 1) and to the elements of the second-order surface susceptibility tensor χ s ijk defined in Refs. [51,52], as follows:…”

Section: A Nonlinear Sourcesmentioning

confidence: 99%

See 1 more Smart Citation

Second-harmonic generation from plasmon polariton excitation on silver diffraction gratings: comparisons of theory and experiment

Inchaussandague

¹

,

Gigli

²

,

O’Donnell

³

et al. 2016

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We present a comparison between experimental and theoretical results for the diffraction efficiencies of the secondharmonic light produced in the orders of silver diffraction gratings. The gratings considered are sinusoidal, have depths of a few nanometers, and can produce significant surface plasmon polariton excitation at fundamental and second-harmonic frequencies. The calculations are based on a general expression for the nonlinear polarization of the surface of a homogeneous and isotropic medium, and the diffraction problems at the fundamental and harmonic frequencies are solved using a Rayleigh method. The silver gratings were fabricated using holographic lithography and evaporative metal deposition techniques. The samples were illuminated with picosecond pulses of wavelength 1064 nm, and photon-counting techniques were used to study the diffracted orders at 532 nm, with absolute normalization provided by a quartz reference. The diffracted orders exhibit anomalies and other features, many of which are related to plasmon polariton excitation at both fundamental and second-harmonic frequencies. Employing previously measured values for the nonlinear susceptibilities of a flat silver surface, remarkably good comparisons of theory and experiment are obtained for the second-harmonic order efficiencies.

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“…A number of theoretical approaches [6][7][8][9][10][11][12] have been presented in the past for calculating nonlinear coefficients of periodic structures. Analytical 6,7,11 and semi-analytical 10,12 approaches are most suited for scenarios where a subwavelength unit cell consists of spatially slow-varying structures or the wavelengths of interest are significantly larger than the unit cell.…”

mentioning

confidence: 99%

“…Analytical 6,7,11 and semi-analytical 10,12 approaches are most suited for scenarios where a subwavelength unit cell consists of spatially slow-varying structures or the wavelengths of interest are significantly larger than the unit cell. It will be shown that a numerical method is necessary to accurately model the SHG behavior of these periodic structures since a small geometrical modification of the unit cell can have a much stronger influence on it than linear optical properties.…”

mentioning

confidence: 99%

Phase matching for surface plasmon enhanced second harmonic generation in a gold grating slab

Luong

¹

,

Cheng

²

,

Shih

³

et al. 2012

Applied Physics Letters

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Surface plasmon enhanced second harmonic generation in gold grating slabs was investigated. The efficiency is analyzed with respect to the phase matching at the fundamental and the second harmonic frequencies. A classical electromagnetic model was developed under the weak nonlinearity approximation and solved by the finite element method. The measured zeroth order transmitted second harmonic intensity was found to be in quantitative agreement with numerical results. It is shown experimentally and numerically that proper phase matching at both frequencies improves the second harmonic efficiency.

show abstract

Second-harmonic generation from plasmon polariton excitation on silver diffraction gratings: comparisons of theory and experiment

Inchaussandague¹,

Gigli²,

O’Donnell³

et al. 2016

J. Opt. Soc. Am. B

0

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We present a comparison between experimental and theoretical results for the diffraction efficiencies of the secondharmonic light produced in the orders of silver diffraction gratings. The gratings considered are sinusoidal, have depths of a few nanometers, and can produce significant surface plasmon polariton excitation at fundamental and second-harmonic frequencies. The calculations are based on a general expression for the nonlinear polarization of the surface of a homogeneous and isotropic medium, and the diffraction problems at the fundamental and harmonic frequencies are solved using a Rayleigh method. The silver gratings were fabricated using holographic lithography and evaporative metal deposition techniques. The samples were illuminated with picosecond pulses of wavelength 1064 nm, and photon-counting techniques were used to study the diffracted orders at 532 nm, with absolute normalization provided by a quartz reference. The diffracted orders exhibit anomalies and other features, many of which are related to plasmon polariton excitation at both fundamental and second-harmonic frequencies. Employing previously measured values for the nonlinear susceptibilities of a flat silver surface, remarkably good comparisons of theory and experiment are obtained for the second-harmonic order efficiencies.

show abstract

Nonlinear electromagnetic response of corrugated metallic gratings

Cited by 3 publications

References 45 publications

Second-harmonic generation from plasmon polariton excitation on silver diffraction gratings: comparisons of theory and experiment

Second-harmonic generation from plasmon polariton excitation on silver diffraction gratings: comparisons of theory and experiment

Phase matching for surface plasmon enhanced second harmonic generation in a gold grating slab

Second-harmonic generation from plasmon polariton excitation on silver diffraction gratings: comparisons of theory and experiment

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