Abstract

By a comprehensive mathematical derivation, we show that the underlying physics of realizing a two-dimensional omnidirectional radiation from multiple sources via radially anisotropic zero-index metamaterials (RAZIM), as numerically and experimentally demonstrated in Cheng Q. et al., Phys. Rev. Lett., 108 (2012) 213903, lies in that the RAZIM shell confines all anisotropic cylindrical modes within the shell, while keeping transparent to isotropic cylindrical modes. From the illustrated underlying physics, it follows straightforwardly that it is impossible to use the RAZIM for generating perfectly coherent isotropic radiation in a three-dimensional free space, contrary to the claim made in the above-mentioned reference.

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