Analytical Study of Sub-Wavelength Imaging by Uniaxial Epsilon-Near-Zero Metamaterial Slabs
Abstract
We discuss the imaging properties of uniaxial epsilon-near-zero metamaterial slabs with possibly tilted optical axis, analyzing their sub-wavelength focusing properties as a function of the design parameters. We derive in closed analytical form the associated two-dimensional Green's function in terms of special cylindrical functions. For the near-field parameter ranges of interest, we are also able to derive a small-argument approximation in terms of simpler analytical functions. Our results, validated and calibrated against a full-wave reference solution, expand the analytical tools available for computationally-efficient and physically-incisive modeling and design of metamaterial-based sub-wavelength imaging systems.
Keywords
Cite
@article{arxiv.1205.1620,
title = {Analytical Study of Sub-Wavelength Imaging by Uniaxial Epsilon-Near-Zero Metamaterial Slabs},
author = {Giuseppe Castaldi and Silvio Savoia and Vincenzo Galdi and Andrea Alú and Nader Engheta},
journal= {arXiv preprint arXiv:1205.1620},
year = {2015}
}
Comments
25 pages, 9 figures (modifications in the text; two figures and several references added)