64
3 Applications of Zero-Index Metamaterials
(a) Magnetic field H z
(b) Electric field E y
(c) Power flow S x (time average)
Fig. 3.6 Effect of radius and permittivity of the defect in the transmission
(a)
(b)
Fig. 3.7 Schematic illustration of electromagnetic cloaking by transformation optics in a 3D and
b 2D view
Pendry et al. in their seminal paper in the year 2006 [136]. A schematic illustration of
transformation-optics-based electromagnetic cloaking is shown in Fig. 3.7, in which
distortion of the path of light rays has been depicted. The object and the cloak both
have cylindrical symmetry and have radii a and b, respectively.
For cloaking to occur, the components of the permittivity ( ¯ ¯
) and permeability ( ¯ ¯
μ)
tensors in cylindrical coordinate system are given as [135]
3 Applications of Zero-Index Metamaterials
(a) Magnetic field H z
(b) Electric field E y
(c) Power flow S x (time average)
Fig. 3.6 Effect of radius and permittivity of the defect in the transmission
(a)
(b)
Fig. 3.7 Schematic illustration of electromagnetic cloaking by transformation optics in a 3D and
b 2D view
Pendry et al. in their seminal paper in the year 2006 [136]. A schematic illustration of
transformation-optics-based electromagnetic cloaking is shown in Fig. 3.7, in which
distortion of the path of light rays has been depicted. The object and the cloak both
have cylindrical symmetry and have radii a and b, respectively.
For cloaking to occur, the components of the permittivity ( ¯ ¯
) and permeability ( ¯ ¯
μ)
tensors in cylindrical coordinate system are given as [135]