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determination of the refractive index from S matrix for a metamaterial unit cell

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Hi all, I'm trying to the determine the effective refractive index for a metamaterial unit cell. For this case, the cell is oriented parallel to the propagation direction (k) as show in the references below. Unfortunately, I'm not being able to reproduce the results and I dont know why. Does anybody has any experience with this?

Im attaching a model that tries to reproduce the results from Fig. 3 in [1]. The model uses the wave optics module, but it can be also easily done using RF module.

Best, Felipe

[1] Q. Cheng, H. F. Ma, and T. J. Cui, “Broadband planar Luneburg lens based on complementary metamaterials,” Appl. Phys. Lett., vol. 95, no. 18, p. 181901, Nov. 2009.

[2] R. Liu et al., “Experimental Demonstration of Electromagnetic Tunneling Through an Epsilon-Near-Zero Metamaterial at Microwave Frequencies,” Phys. Rev. Lett., vol. 100, no. 2, p. 023903, Jan. 2008.


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