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NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2012, 3 (5), P. 76–83

METHOD OF THE “IMAGINARY BOUNDARY” IN THE STUDY OF THE OPTICAL PROPERTIES OF ORDERED NANOSTRUCTURES

Alexander Shalin – Kotel’nikov Institute of Radio Engineering and Electronics (Ul’yanovsk Branch), Russian Academy of Sciences, Ul’yanovsk, Russia, Ul’yanovsk State University, Ul’yanovsk, Russia, PhD in Physics, shalin_a@rambler.ru
Alexey Kadochkin – Ul’yanovsk State University, Ul’yanovsk, Russia, PhD in Physics, askadochkin@sv.ulsu.ru

Optical properties of spatially ordered nanocomposites consisting of spherical dielectric nanoparticles have been investigated. We proposed an analytical solution allowing us to use simple Airy formulas (“imaginary boundary” method) to describe interaction of a light with an ordered nanostructure without averaging of optical constants over the volume. We show the good agreement with strict numerical simulations’ results.

Key words: metamaterial, Airy formulae, imaginary boundary.

UDC 535.016

PACS 78.66.Sq, 78.67.Bf, 78.67.Pt, 42.25.Bs

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