The effect of subwavelength localization of the electromagnetic field on the surface of a circular metamaterial cylinder

Application of modified method of discrete sources for solving a problem of wave diffraction on a multilayered body of revolution

“…In [19] the resonance properties of the hollow twodimensional cylinders with the metamaterial shell are considered. So it is of interest to investigate the hollow three-dimensional particles with the metamaterial shell.…”

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.…”

“…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. The authors of [11] studied the fields which arose when a circular cylinder made of a material with ε = μ = −1 was excited by a filament source. In this case, the effect of subwavelength field localization on the cylinder surface was discovered.…”

High-Q resonanaces of surface waves in thin metamaterial cylinders

“…where (8) (9) are Bessel functions, and the prime denotes differ entiation with respect to an argument.…”

“…In most studies, objects of dimensions that are large as compared to the wave length are investigated. The electrodynamic properties of small 2D objects were analyzed for the first time in [9,10].…”