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High-Order Nonlinearities of Gold Nanoparticles: The Influence of Size, Filling Factor, and Host

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Abstract

High-order nonlinearities of gold nanoparticles embedded in a nonlinear host were studied using the Maxwell-Garnett model and the degenerate electron gas model. From the nonlinear response, the dependence of the effective third-, fifth-, seventh-, and ninth-order nonlinear optical susceptibilities of gold nanoparticles on the filling factor, the nanoparticle size, and refraction index of the host was calculated. The predicted high-order nonlinear response arose from the enhanced local field factor and was attributed only to the cascaded contribution coming from the third-order nonlinear susceptibility of the nanoparticles. From the calculations, the reversal signal on the high-order nonlinear susceptibilities varying the host refractive index was observed. In addition, tuning the filling factor or the nanoparticle (NP) size, the cancelation of the real part of the third-order susceptibility of the composite material was proposed in order to obtain a refractive macroscopic nonlinear response due only to the real part of the fifth-, seventh-, and ninth-order nonlinearities. It shows a new way to manage the high-order nonlinear optical response of composite materials containing metallic nanoparticles.

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Acknowledgments

This work was financially supported by the Fundação de Amparo á Ciência e Tecnologia do Estado de Pernambuco (FACEPE) and the Polytechnic School of Pernambuco/University of Pernambuco.

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The authors declare that they have no competing interests.

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  1. Polytechnic School of Pernambuco, University of Pernambuco, Recife, PE, 50720-001, Brazil

    Luis Arturo Gómez-Malagón

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  1. Luis Arturo Gómez-Malagón
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Correspondence to Luis Arturo Gómez-Malagón.

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Gómez-Malagón, L.A. High-Order Nonlinearities of Gold Nanoparticles: The Influence of Size, Filling Factor, and Host. Plasmonics 10, 1433–1438 (2015). https://doi.org/10.1007/s11468-015-9958-6

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  • DOI: https://doi.org/10.1007/s11468-015-9958-6

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