Characteristics of Multilayered Metamaterial Structures Embedded in Fractional Space for Terahertz Application

Abstract

Abstract-This paper discusses the electromagnetic characteristics of a stratified metamaterial structure placed in fractional dimension space. Reflection and transmission coefficients for plane wave incident on multilayered structure in D-dimensional space are computed. Transfer matrix method is used to study the behaviour of different planer multilayered periodic metamaterial structures. The results are compared for integer and fractal dimensional spaces for both the cases of normal and oblique incidences. Classical results are recovered for integer dimensions. This work provides solution for examining the electromagnetic fields and waves in multilayered structures at fractal interfaces.

Transmission Through Double Positive --- Dispersive Double Negative Chiral Metamaterial Structure in Fractional Dimensional Space

“…respectively. The wavenumber and impedance of the right half space are k h2 = ω √ μ h2 ε h2 , and are [19]…”

“…By inserting Eqs. (18) and (19) in Eq. 9, we can achieve classical expressions for incident, reflected and transmitted fields in (Eqs.…”

“…In general, the fractal media cannot be considered as a continuous media, however, Tarasov [18] purposes a model and experimental testing for treating the fractal media as a continuous media thus paving the way for fractal media being considered as fractional space on all scales. Marwat and Mughal also used fractional dimension space for terahertz range of frequency in [19]. We, however, treated the problem theoretically and are unaware of any practical realization of the fractional space so far.…”

“…Chiral medium is another example of metamaterials constructed from numerous randomly oriented chiral elements; that is, the objects which can never be brought into congruence with their mirror images by any translation or rotation. A chiral medium provides a cross-coupling between the electric and magnetic fields the extent of which is determined by a chirality parameter [19,24]. DNG chiral metamaterials, therefore, are defined as materials having both the negative permittivity and permeability and chirality in their characteristics [25,26].…”