Transition Behavior of K-Surface: From Hyperbola to Ellipse

Abstract

Abstract-The transition behavior of the k-surface of a lossy anisotropic indefinite slab is investigated. It is found that, if the material loss is taken into account, the k-surface does not show a sudden change from hyperbola to the ellipse when one principle element of the permittivity tensor changes from negative to positive. In fact, after introducing a small material loss, the shape of the k-surface can be a combination of a hyperbola and an ellipse, and a selective high directional transmission can be obtained in such a slab.

Near Field Focusing Effect and Hyperbolic Dispersion in Dielectric Photonic Crystals

“…Namely, the metamaterial [4,5], photonic crystal [6], and an indefinite medium (whose permittivity and permeability tensors do not have same sign) [7][8][9][10]. The mechanism of flat lens imaging is accounted from negative refraction, in which a flat slab can be able to focus near fields with sub-wavelength features.…”

Propagation and tunneling of electromagnetic waves through uniaxial metamaterials at arbitrary orientations of the optical axis

“…Nowadays, production of isotropic magnetic MM is a complicated technological problem. On the other hand, at investigations of MM the assumptions are frequently used: absence of optical absorption, electromagnetic wave homogeneity allowing usage of refractive index and wave vector surfaces, linear polarization of the radiation, and analysis of only TM (TE) waves in MM (see, e.g., [1][2][3][4][5][6][7][8][9] and references in these works). Moreover, as a rule, only the simplest cases of anisotropic MM are considered.…”

“…Moreover, as a rule, only the simplest cases of anisotropic MM are considered. In particular, for uniaxial MM there are cases when the optical axis is parallel or perpendicular to the MM layer boundaries [1][2][3][4][5][6][7][8][9] . Account of optical absorption and anisotropy of a more general form significantly complicates the analysis of such materials but leads to more realistic models of MM and devices on the basis of MM 10-13 . In the work the boundary problem of electromagnetic wave (propagating or evanescent) interaction with a layer of uniaxial absorbing MM is solved exactly.…”

“…m (we consider the case of the purely evanescent incident wave).According to expansions (8),(9), evanescent waves in MM are characterized by both damping and phase shift z m ) Re( 3 at propagation, which determines destructive multiple-beam interference in the layer and a deterioration of the lens image. Analogical effect for nonmagnetic isotropic absorbing MM was investigated in the work11 .…”

Plane Wave Beam Produced by an Exclusive Medium

“…In the family of anisotropic media, indefinite medium is a rising star due to its negative refraction property and the capability of transferring an evanescent wave into a propagation mode [1][2][3][4][5][6][7][8]. The term indefinite implies that the principle items in the permittivity or permeability tensor have different signs, which results in a strong anisotropy and a hyperbolic EFC (equifrequency contour) in an indefinite medium [9].…”