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  1. A penetrable tensorial metasurface on a grounded dielectric shell is presented for 3-D spherical invisibility cloaking. The spatially modulated impedance surface transforms the incident plane wave into a surface wave on the lit side and carries the power to the shadow side. Power is continuously released as a leaky wave with a wavefront consistent with the incident plane wave on the shadow side. A numerical design example for a four-wavelength-diameter conducting sphere is presented, and the cloaking effectiveness is validated by simulation. 
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  2. A planar loaded microstrip network metamaterial on an irregular grid for modeling 2-D electromagnetic environment in TE polarization is presented. The technique is applied to a Luneburg lens example toward printed circuit implementation and verification. 
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  3. For large or infinite metasurfaces, a design tech- nique for a dense array of subwavelength resonators on an irregular grid is presented. For a given incident wave, the desired induced dipole moment distribution determines the local electric field that excites individual meta-atoms. The interaction field that accounts for mutual coupling is evaluated via a combination of discrete coupling from nearby resonators and continuous sheet current coupling from far-separated resonators. Meta-atoms placed on an irregular grid can be treated, greatly enhancing the flexibility in surface profile in practical conformal metasurfaces. 
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  4. A design technique for free-standing planar metasurfaces comprising an array of subwavelength resonant inclusions on an irregular grid is presented. The local E-field is evaluated as a sum of discrete and continuous contributions from neighboring and far-separated elements, respectively. The dimension of each resonator is determined from the polarizability relation. Free from the limitations associated with unit-cell analysis and design under periodic boundary conditions, the new design technique allows use of irregular grids for functional electromagnetic surfaces. 
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