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The wavelength versus wave frequency for TE surface mode

The wavelength versus wave frequency for TE surface mode

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Article
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We present a surface electromagnetic eigenmode of a flat guiding surface separating the negative permeability medium and vacuum. The wavefields amplitudes exponentially weaken in the perpendicular direction from the interface between the media. This mode has a TE-polarization and its electric wave field is parallel to the interface plane. This mode...

Citations

... As can see, this wave is slow (its phase velocity is less the speed of light in vacuum) and forward (the directions of phase and group velocities coincide) [11]. ...
Article
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We have considered the refraction of surface electromagnetic waves (SEW) at the heterogeneous metasurface. The considered structure consists of three regions: mu-negative metamaterial, ordinary magnetic, and vacuum. The boundaries between considered media are planar. A phenomenological approach was used; media were assumed to be lossless and isotropic. In this paper, we show the possibility of total internal reflection effect for SEW of TE-polarization that can propagate along such heterogeneous metasurface. The value of the angle of total internal reflection decreases for higher frequency waves from the interval under consideration. The presented result may help design both research and industry complex systems.
... It is an obvious fact that creation of material with only negative permeability is easier that for the double negative ones [14]. In a number of works [15][16][17] the properties of surface electromagnetic waves in such mu-negative metamaterials have been studied. The application areas of the considered modes are very wide from the signal transmission and processing, the sensing and detection, the particles accelerators, the photovoltaic and many others [18][19][20]. ...
Article
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In this work, we study the properties of slow electromagnetic surface TM-waves propagating along the planar waveguide structure involving the mu-negative metamaterial slab. The planar mu-negative metamaterial layer separates two semi-infinite regions: the plasma and the conventional dielectric. All media are assumed to be linear, homogeneous, and isotropic. The dispersion properties, the phase and group velocities, the spatial distribution of the electromagnetic fields of the TM mode in frequency range where the metamaterial has a negative permeability are under the consideration. The properties of this TM-eigenwave of the structure and two other TE modes are compared. It is studied the TM-eigenwave properties variation with metamaterail and plasma-like media properties changing. It is shown that for the considered structure, the properties of the TM mode depend significantly on the parameters of the plasma-like medium.
... At first, in 1968 Victor Veselago proposed the concept of a meta-material that does not exist in nature and shows extreme influence over the E and H fields by employing different orientations, polarization angles and physical shape of the structure. The meta-materials have extraordinary features, such as negative permittivity (ENG) [1], negative permeability (MNG) [2] and negative refractive index [3], as well as electromagnetic (EM) absorption [4], and can be used in many applications like enhancing antenna performance [5], shielding applications [6], satellite communication applications [7], energy harvesters [8], filters [9] and sensors [10]. ...
Article
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To meet the demand for modern communication technology, the development of satellite communications has been consistently investigated. In this article, a rectangle-type SRR is attached to circular-type SRR for obtaining two frequencies in X-band operation. The designed structure exhibits negative metamaterial properties (Epsilon, mu and refractive index are negative) and the design was fabricated on a polyimide dielectric material with a 10 × 10 mm2 size. The polyimide dielectric material is chosen with a thickness of 0.1 mm and a dielectric constant of 0.0027. The proposed unit cell is designed and simulated by using one of the numerical simulation tools, CSTMW studio, in which the frequency limit is chosen from 7 to 12 GHz. From the results, we can observe that the proposed design resonates at two X-band frequencies at 9.84 GHz and 11.46 GHz and the measurement results of the proposed design resonate at 9.81 GHz and 11.61 GHz. It is worth noting that the simulation and measurement findings both obtain the same X-band frequencies, with only a minor difference in the frequency values. Thus, the recommended design is very much useful for X-band applications.
... The curves marked by the numbers 1 and 2 corresponds to the two eigenmodes of waveguide structure. Line marked by the letter 's' corresponds to the eigen wave of the simplified model, presented in [12]. The presented solutions (eigenmodes of TE-type) of the dispersion equation (10) for the studied model are marked by the numbers 1 and 2. The line, marked by the letter 's' corresponds to the single eigenwave of the simplified waveguide model, presented in [12] under the same parameter set. ...
... Line marked by the letter 's' corresponds to the eigen wave of the simplified model, presented in [12]. The presented solutions (eigenmodes of TE-type) of the dispersion equation (10) for the studied model are marked by the numbers 1 and 2. The line, marked by the letter 's' corresponds to the single eigenwave of the simplified waveguide model, presented in [12] under the same parameter set. The further analysis has shown that this solution for the simplified model corresponds to the low frequency solution (curve 1) for the model considered. ...
... The increase of the metamaterial layer thickness leads to the gradually convergence of the both curves 1 and 2 to each other, and to the solution of the simplified waveguide model, presented in [12] under the same parameter set (see Fig. 8). This figure presents the variation of the wave eigen frequency  obtained due to the solution of the dispersion equation (10) . ...
Article
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The paper presents the results of the study of slow surface electromagnetic waves directed along the flat mu-negative metamaterial slab surrounded by ordinary dielectric material. It is considered the case of isotropic and homogeneous metamaterial without losses. This metamaterial possesses the positive permittivity and the negative permeability over a definite frequency band. It is found that two surface modes of TE polarization can propagate along such waveguide structure. The dispersion properties, the spatial distribution of the electromagnetic field, as well as the phase and group velocities of these slow modes are studied. The first mode is a conventional forward wave, and has a lower frequency and lower phase velocity than the second mode. The second mode may have zero group velocity at a certain frequency. Characteristics of these surface modes for different values of the mu-negative slab parameters have been studied. The studied surface electromagnetic waves can be used for practical applications as in laboratory experiments, as in various technologies.
Article
This work is devoted to study of the dispersive properties of the slow electromagnetic waves that propagate along the planar waveguide structure that consists of semi-bounded plasma region, metamaterial slab and semibounded region of ordinary dielectric. It is studied the case when all media are homogeneous and isotropic. The dispersion properties, the phase and group velocities, as well as the electromagnetic field spatial structure of the eigen TE modes are studied in the frequency range where the metamaterial possess negative permeability.
Article
In this paper, we present the theoretical study of metamaterials with negative magnetic permeability in the frame of phenomenological electrodynamics. The slow surface electromagnetic eigenwaves propagated in the vacuum gap inside mu-negative medium have been studied. Its phase velocities are less than the speed of light in a vacuum. The electric field vector of these modes is directed entirely perpendicular to the propagation direction and parallel with interface plane. The distribution of the electric field amplitude of these modes along the coordinate of the perpendicular interface can be symmetric or antisymmetric. Symmetric modes are forward waves at any vacuum gap width. Antisymmetric modes may be forward or backward waves in dependence on the vacuum gap width. With a sufficiently high value of this gap width the influence of the second boundary disappears and we have two single unrelated interfaces between the media. These surface electromagnetic waves can be additional operating modes of modern devices, both in science and industry.