The field of a point source near planar and cylindrical boundaries of a metamaterial

Diffraction of a Cylindrical Wave by a Metamaterial Elliptic Cylinder

“…In this case, auxiliary contours will be chosen in accordance with the results obtained in [9][10][11][12][13][14]. The accuracy of the solution of the problem solving is controlled by the mismatch of the boundary conditions at the points where they are satisfied in the worst possible way.…”

“…The electromagnetic fields of the sources located near the boundaries of bodies made of a metametarial with ε = μ = −1 have unusual properties [9]. For example, it was shown in [10] that in the problem of diffraction of a cylindrical wave by an infinitely wide plate in the case of ε → −1 and μ → −1, the field increases indefinitely everywhere.…”

“…Here, the effect of nonresonance field enhancement, in which relatively high values of the field intensity are observed in a wide frequency band, takes place [9]. Figure 6 shows patterns of scattering by elliptic cylinders with different eccentricities for a = 1.25b and a = 5b.…”

“…This dependence does not contain high-Q resonances. This is its fundamental difference from the similar frequency characteristics, which were calculated in [9] for circular cylinders made of metamaterials with the dielectric permittivity and magnetic permeability differing from minus unity. The frequency characteristic shown in Fig.…”

High-Q Quasistatic Resonances Excited in a Metamaterial Sphere by a Meridional Dipole

“…The authors of [7][8][9][10] considered two-dimensional problems of excitation of solid and hollow circular metamaterial cylinders by a filamentary source. It was shown that high-Q resonances exist in cylinders with small diameters.…”