Negative refraction of inhomogeneous waves in lossy isotropic media

Abstract

Abstract. We theoretically study negative refraction of inhomogeneous waves at the interface of lossy isotropic media. We obtain explicit (up to the sign) expressions for the parameters of a wave transmitted through the interface between two lossy media characterized by complex permittivity and permeability. We show that the criterion of negative refraction that requires negative permittivity and permeability can be used only in the case of a homogeneous incident wave at the interface between a lossless and lossy media. In a more general situation, when the incident wave is inhomogeneous, or both media are lossy, the criterion of negative refraction becomes dependent on an incident angle. Most interestingly, we show that negative refraction can be realized in conventional lossy materials (such as metals) if their interfaces are properly oriented.

Error Assessment and Mitigation Methods in Transient Radar Method

“…where d 1 is the thickness of the water layer and k(ω) is equal to ω √ µ 0 ε 0 ε r (ω). In Equation (4), we used the Green function for dispersive materials as follows [27][28][29].…”

“…Based on Fresnel's equation, reflection coefficient is a function of electromagnetic parameters at the sides of the interface as well as the angle of incidence. Based on the electromagnetic boundary condition as well as Snell's law, one can write (21), which is appropriate for a lossy-lossy interface while assuming that µ r = 1 for two sides of the interface [29,33,34].…”

Loss induced negative refraction and super-prism effect at highly absorptive interface*

“…[8][9][10] Other generalized versions of the Snell's laws are based on complex or real valued boundary conditions, and quite different results are obtained. [11][12][13][14][15] Moreover, the experimental verification is extremely difficult because the associated heavy absorption results in opacity and a very short penetration depth. Chen's group carried out a series of experiments to measure the light refraction at a pure Ag/air or Au/air interface, and a negative refraction effect was observed.…”

“…Consequently, it is difficult to study the influence of incident angle θ i on the light refraction. [7,11,15] In this work, we study the light refraction at a planar lossy interface, which can be applied to either Drude medium or anomalous dispersion medium. [18] According to the Krames-Kronig relation, the real part of the permittivity exhibits rapid variation in the neighborhood of heavy absorption, which leads to a peculiar equifrequency contour in the wave vector space.…”

Fresnel polarisation of infra-red radiation by elemental bismuth

“…More recently, there has also been interest on the phenomenon of negative refraction, which usually requires media with negative permittivity and permeability [22,23,24]. However, Federov et al [23] showed that this negative refraction can also occur in conventional lossy materials if their interfaces are properly oriented, in particular, considering a metallic prism lying on the surface of another metal.…”