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Nanomaterials 2019, 9(4), 536;

Analysis of the Substrate Effect on the Zero-Backward Scattering Condition of a Cu2O Nanoparticle under Non-Normal Illumination

School of Electronic Science and Engineering, Nanjing University, Nanjing 210093, China
Center for Micro and Nano Devices, Department of Physics, COMSATS University Islamabad, Park Road, Islamabad 44000, Pakistan
Department of Material Science and Engineering, North Carolina State University, Raleigh, NC 27606, USA
Group of Displays and Photonic Applications (GDAF-UC3M), Carlos III University of Madrid, Leganes, 28911 Madrid, Spain
Author to whom correspondence should be addressed.
Received: 1 March 2019 / Revised: 21 March 2019 / Accepted: 28 March 2019 / Published: 3 April 2019
PDF [3980 KB, uploaded 3 April 2019]


The presence of a substrate is one of the most important limitations of the real application of the directional conditions. These conditions allow the control of the spatial distribution of light scattering of nanoparticles. While the zero-forward condition is quite sensitive to any change of the surrounding medium, like the substrate, the zero-backward scattering seems to be less sensitive and very stable under normal illumination. In this letter, the zero-backward scattering condition was investigated on a homogenous Cu2O spherical subwavelength particle, both theoretically and experimentally. In particular, the influence of the substrate and the impinging direction on the angular distribution of light scattering under this directional condition were studied. We observed that the zero-backward scattering condition was also sensitive to the presence of a substrate beneath when a non-normal illumination was considered. We believe that our finding is quite interesting from a practical point of view and for the real implementation of directional scattering in various applications like cloaking, light-emitting devices, photovoltaic devices, bio-sensing, and many more. View Full-Text
Keywords: nanoparticle; scattering; directionality; metamaterials nanoparticle; scattering; directionality; metamaterials

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Ullah, K.; Habib, M.; Huang, L.; Garcia-Camara, B. Analysis of the Substrate Effect on the Zero-Backward Scattering Condition of a Cu2O Nanoparticle under Non-Normal Illumination. Nanomaterials 2019, 9, 536.

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