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, email@example.com
Alexey Kadochkin – Ul’yanovsk State University, Ul’yanovsk, Russia, PhD in Physics, firstname.lastname@example.org
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.
PACS 78.66.Sq, 78.67.Bf, 78.67.Pt, 42.25.Bs