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Exact modeling of cylindrical metal–dielectric multilayers beyond the effective medium approximation

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Abstract

We present a semi-analytical method for accurate modeling of wave propagation in cylindrically symmetric subwavelength metal–dielectric multilayers. Utilizing a cylindrical transfer matrix method, we compute the amplitude transfer function of cylindrical hyperlens, simulate the exact field distribution and propagation for a given source and compare it to that in effective hyperbolic medium. We investigate the conditions under which the effective medium theory (EMT) is valid and show that in cylindrical configuration, a new degree of freedom is present in the applicability of the EMT—the ratio between the inner radius of the structure and the unit cell size.

© 2014 Optical Society of America

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