Electromagnetic funneling through a single-negative slab paired with a double-positive transformation slab

Giuseppe Castaldi (Department of Engineering, University of Sannio, Benevento, Italy)
Vincenzo Galdi (Department of Engineering, University of Sannio, Benevento, Italy)
Andrea Alù (Department of Electrical and Computer Engineering, The University of Texas at Austin, Austin, Texas, USA)
Nader Engheta (Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, Pennsylvania, USA)



The work is aimed at studying the electromagnetic interaction between a homogeneous, isotropic single-negative (SNG) slab and an inhomogeneous, anisotropic double-positive (DPS) slab.


The approach is based on the transformation optics framework, which allows systematic design and modelling of anisotropic, inhomogeneous metamaterials with inherent field-manipulation capabilities.


The paper finds that a transformation-optics-based DPS slab can compensate the inherent opaqueness to the electromagnetic radiation of a SNG slab. Here, “compensation” means that the resulting bi-layer may give rise to zero-reflection for a normally-incident plane wave at a given frequency. Such phenomenon is inherently accompanied by (de)funneling effects for collimated-beam illumination, and it turns out to be quite robust to material losses as well as geometrical and constitutive-parameter truncation.


The results provide further evidence and insight in how SNG-like responses may be emulated (within narrow parametric ranges) by suitably-engineered spatial inhomogeneity and anisotropy in DPS media. Moreover, they also show that resonant transmission phenomena through SNG materials may be engineered via the powerful framework of transformation optics.



Castaldi, G., Galdi, V., Alù, A. and Engheta, N. (2013), "Electromagnetic funneling through a single-negative slab paired with a double-positive transformation slab", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 32 No. 6, pp. 1821-1833. https://doi.org/10.1108/COMPEL-10-2012-0221

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