## Metamaterials, Metasurfaces, and Artificial Dielectrics: Theory and Applications to the Next-Generation Telecommunication Platforms

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# A Broadband Left-Handed Metamaterial Microstrip Antenna with Double-Fractal Layers

**Academic Editor:**Ariel Epstein

#### Abstract

This paper proposes a microstrip patch antenna based on the left-handed metamaterial concept, using planar periodic geometry, which results in improved characteristics. This periodic geometry is derived from fractal shapes, which have been widely used in antenna engineering. The metamaterial property was obtained as a result of the double-fractal structure on both the upper and the bottom sides of the antenna. The final structure has been optimized to enhance bandwidth, gain, and radiation characteristics of the microstrip antenna. This combination significantly improved antenna performance; our design could support an ultrawide bandwidth ranging from 4.1 to 19.4 GHz, demonstrating higher gain with an average value of 6 dBi over the frequency range and a peak of 10.9 dBi and a radiation capability directed in the horizontal plane of the antenna.

#### 1. Introduction

In commercial wireless communication systems, the antenna remains a key element of the communication chain. The efficiency of a radio broadcasting system is directly related to the characteristics of its antennas. In addition, future communication systems using cognitive radio or flexible radio will need smaller wideband antennas. In this paper, we focus on one of the common antenna designs—the microstrip patch antenna. This design has many advantages; it can be easily fabricated using a lithographic technique, it has a low profile, it has a low production cost, and its structure is fairly simple. However, these advantages are offset by the narrow bandwidth of the antenna. To date, several approaches have been proposed to address this deficiency. In most cases, the proposed solution was to increase the thickness and decrease the dielectric constant of the substrate at the same time. However, these attempts did not produce significant bandwidth enhancements in redesigned antennas.

Some specialised techniques were developed for bandwidth enhancement. One of such techniques involves the inclusion of additional resonators to the main patch. This can be done by inserting parasitic patch elements in a coplanar manner near the fed patch [1], or by stacking two or more patches [2]. Another technique is to ensure good impedance matching between the feed and the radiator and thus reduce reflection loss [3, 4]. This technique resulted in bandwidth enhancement of at most 30%, but the aforementioned solutions require more space and thus invariably increase the size of the antenna. It is possible to obtain wideband characteristics while keeping the low profile of the patch antenna. To do so, one needs to cut “U” shaped slots in the patch, or two parallel slits in one of the radiating edges, creating a shaped patch [5]. We note that these methods have the advantage of enhancing the bandwidth without augmenting the size of the microstrip antenna, but the most noticeable wideband capability, about 47%, was obtained mainly using a design with foam and air substrates, which are not appropriate for arrays and would be challenging to integrate in microwave systems.

Taking into account the above-mentioned drawback of the antennas, the important task in microstrip antenna design is to create an antenna capable of supporting wideband or even ultrawideband (UWB) frequency range. With the development of new materials called left-handed materials (LHM), or left-handed metamaterials, it is possible to achieve a significantly wider frequency range. As a result, many antennas with LHM structures with better performance than conventional microstrip patch antennas were proposed.

At present, there is no clear classification of metamaterial-based antennas due to the fact that the problem is still not mature. Nevertheless, according to [6], two categories can be distinguished. The first category is the concept of a transmission line composed of a periodic repetition of a unit cell comprising a series capacitance and a shunt inductance [7]. This category is a direct application of the leaky-wave metamaterial antennas, which consists of a cascaded series of unit cells lying on a matched microstrip line [8, 9]. This type is preferred for beam scanning applications. In the second category are the resonant antennas, which, in opposition to the first category, are obtained by terminating the structure to the free space by a short or open circuit [9]. The metamaterial-based resonant types of antenna structures allow dual-band, multiband behaviours and can be miniaturized but do not increase the bandwidth of the antenna.

However, even these LHM antennas cannot achieve a sufficiently wide frequency range. Many attempts have been proposed to widen the bandwidth of microstrip antenna using left-handed metamaterial structures. Among these, we can find a broadband planar antenna composed of a dipole and left-handed unit cells [10]. This configuration achieved a bandwidth of 1.2 GHz. Another model realized with 2 × 2 mushroom structure combined with a notch on the surface, with the entire structure on a solid ground plane, was proposed in [11]. Reflective metasurfaces placed above an ordinary patch antenna can be used to enhance the gain and reduce the size of the structure, using [12] 4 × 4 unit cells of reflective metasurfaces consisting of double closed rings suspended above a microstrip patch antenna. However, even this configuration achieved only 13% of bandwidth. A LHM antenna using a meander line is proposed in [11] where a single unit cell is incorporated with an interdigitated capacitor for the series capacitance, while the shunt inductance is produced by the meandered ground plane extension connected to the antenna by a via through the substrate. Still, most of the left-handed metamaterial-based antennas presented above are not wideband and have low gain and are thus unable to cover more than one wireless communication standard or claim to integrate high data rate transmission systems.

Planar left-handed metamaterial structures were proposed a few years ago [13]. The discussed structures consist of 2D periodic arrays of unit cells. This concept was applied to LHM antennas, resulting in broadband and high gain designs. The periodic patterns which showed left-handed characteristics were applied to rectangular conventional microstrip patch antennas. These configurations allowed obtaining a frequency range several times wider than the same patch antenna without the metamaterial pattern.

A perspective approach was proposed in [14] where a left-handed metamaterial antenna can achieve a broad bandwidth. This structure is a microstrip line loaded with different patterns on the metal parts of the substrate. On the top patch, the periodic gaps are designed in the form of isolated microtriangles, while, on the bottom ground plane, periodically distributed cross-strip gaps are designed. The structure achieves a significantly broader bandwidth of 3.2 GHz.

The main motivation of this work was to design an antenna with the widest possible bandwidth. This is why an ultrawideband microstrip antenna is presented. The concept of planar 2D left-handed metamaterial structure with periodic patterns is applied in order to enhance the bandwidth of a conventional microstrip patch antenna. The periodic patterns are formed by the repetition of a square unit cell along two axes. In fact, square unit cells, formed by the top and bottom layers of the dielectric substrate, consist of 2 different patterns on both layers. These patterns are inspired by fractal geometry, and their use is motivated by the benefits of fractals in antenna engineering [15–17].

Fractal based antennas are already presented in the literature, featuring patches with fractal structures. However, our proposed antenna geometry is novel due to its double-fractal layer design. Both layers of the antenna have fractal forms, but each patch includes different shapes. The upper side of the antenna follows the shape of crossbar fractals, with Minkowski fractals on the lower layer. The proposed self-similarity and ease of repetitiveness of the geometry make these designs attractive for creating a periodic structure.

The conventional microstrip patch antenna, which was used as a benchmark for comparison, produced a very limited bandwidth of 225 MHz. After introducing the planar metamaterial concept combined with double-fractal layers geometry, its bandwidth was multiplied by 68, to more than 15 GHz.

#### 2. The Conventional Reference Antenna

A rectangular microstrip patch antenna was designed to serve as a reference. The patch is 12 × 16 mm^{2}, and the feeding line is 2.46 × 8 mm^{2}. The simulated and measured 11 values of the conventional reference antenna are presented in Figure 1.

#### 3. The Double-Fractal Layers Antenna Design

The proposed metamaterial structure is in two-dimensional configuration. It is represented by a square unit cell of 4 × 4 mm^{2}. The unit cell is composed of two planar metallic layers sandwiching a dielectric substrate. The two metallic layers were etched with two distinct fractal shapes. The crossbar fractal [18] diagonally lying on the square unit cell was etched out on the top. On the bottom, the Minkowski fractal [19, 20] in its first iteration was etched.

Constituent unit cells are depicted in Figure 2, while the view of double-fractal antenna geometry is presented in Figure 3. The entire structure of the proposed antenna measures 27.6 × 31.8 mm^{2}, with the same dimension for the feeding line (Figure 3). The antenna was designed with the Rogers RT 5880 low-loss substrate ( at 10 GHz) with dielectric constant of 2.2 and thickness of 0.79 mm. The upper patch consists of the 4 × 3 square unit cells with the diagonal crossbar fractal shape having the edge of 4 mm in a periodic arrangement (Figures 3 and 4). On the ground plane, composed of metallic patches separated by slot gaps, the Minkowski island fractals of 6 × 7 square unit cells are placed also in a periodic arrangement. This configuration improves the coupling between the patch and the ground plane by forming a capacitive-inductive (C-L) equivalent circuit which provokes the left-handed property. The view of the top and bottom sides of the antenna is presented in Figure 4.

**(a)**

**(b)**

#### 4. Results and Discussion

A parametric study was created to analyse the influence of the geometry on the performance of the antenna. In it, a variation in dimensions by the suitable increment, of one parameter at a time in the antenna geometry, is performed. The values of the dimensions giving the best performances of return loss (11) will be obtained separately. These values are then combined together in order to obtain the optimal configuration of the antenna giving the best 11 performance and thus the largest bandwidth. We noticed that the width of the gap between the cells on the ground plane (Figure 3) has a significant effect on the 11 value. Four dimensions of were investigated from 0.2 mm to 0.5 mm, in increments of 0.1 mm, and the resulting 11 values are presented in Figure 5.

From the plot, we noticed that when the width of the gap between the cells on the ground plane is the largest, which in our case is 0.5 mm, so is the bandwidth. However, for higher values of , the functions of 11 get rapidly worse. For further investigation, = 0.5 mm has been taken into account. The antenna with the optimal parameters resulting in the widest bandwidth was obtained and then fabricated, as depicted in Figure 4, to empirically measure the proposed microstrip antenna design. The measured 11 value of this antenna, in function of frequency, is presented in Figure 6. The figure shows good correlation between measured and simulated values and the very wide bandwidth of the proposed configuration.

Figure 6 demonstrates the widened bandwidth of the proposed antenna, where the measured frequency range is even wider than the simulated one. It has achieved, at the level of −10 dB, a bandwidth ranging from 4.1 GHz to 19.4 GHz, for a total bandwidth of 15.3 GHz, while in the conventional antenna the bandwidth was only 0.225 GHz.

#### 5. Dispersion Characteristics

The possible feasibility of material characterized by simultaneously negative permittivity and permeability was discussed by Veselago [21]. Taking into account the fact that such materials do not exist in the nature, they are called metamaterials. In such materials, the wavevector is antiparallel to the Poynting vector and for this reason they are named “left-handed materials” or “backward wave media.”

In order to check that the designed antenna structure supports backward waves, the dispersion diagram was simulated by applying the periodic boundary conditions in the and directions of the unit cell. Figure 7 shows the dispersion characteristics of the unit cell along the paths between the high symmetry points , , and of the reduced Brillouin zone, which is plotted in the - curve. In this curve, the slope of the straight line connecting the origin and a certain point on the curve represents the phase velocity , and the slope of the line tangential to the curve at that point represents the group velocity [21]. It can be noticed from Figure 8 that the slope representing is negative, and hence the group velocity and phase velocity are in opposite directions, leading to the conclusion that the structure supports backward waves.

#### 6. Antenna Gain and Characteristics

The gain of the proposed antenna was simulated and measured over the working bandwidth, from 4 GHz to 18 GHz, as illustrated in Figure 8. The fabricated antenna achieved an average gain of 6 dBi and a maximum value of 10.9 dBi. The efficiency improves with the growth of frequency. For frequencies mentioned in Figure 9, the following values of efficiency were obtained: of 86.4% at 7.96 GHz, of 88.3% at 9.22 GHz, and of 89.7% at 11.48 GHz.

The radiation characteristics for the proposed antenna are presented in Figure 9. Radiation patterns were measured in the following frequencies: 7.96 GHz, 9.22 GHz, and 11.48 GHz, in the characteristic planes “” and “.” It can be seen that left-handed properties of the antenna resulted in a radiation spread of 270°. It should also be noted that shapes of radiation characteristics change in function of frequency. A similar disadvantage was observed in cases presented in the literature describing microstrip antennas with ultrabroadband properties. Future efforts should focus on obtaining similar shapes of radiation patterns in function of frequency to improve the efficiency of radio link.

#### 7. Conclusion

In this paper, an ultrawideband antenna based on the planar periodic left-handed metamaterial concept was proposed. The metamaterial property was obtained through the use of a double-fractal structure on both the top and the bottom sides of the antenna. The proposed antenna achieved the frequency range of 4.1 GHz to 19.4 GHz, realizing a bandwidth of 15.3 GHz. Therefore, the bandwidth of the manufactured antenna is 68 times larger than the bandwidth of the conventional microstrip antenna.

The antenna radiates at a 270° angle and has an enhanced gain with an average value of almost 6 dBi and a peak of 10.9 dBi. The combination of the metamaterial planar concept and the fractal shapes seems to be a good method to enhance the characteristics of the microstrip patch antenna. This antenna can easily be used in a communication system, where such enhanced features are required.

#### Conflicts of Interest

The authors declare that they have no conflicts of interest.

#### Acknowledgments

This work was carried out with the financial support of the Polish National Centre for Research and Development as Project no. DOB-1-1/1/PS/2014.

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Copyright © 2017 Roman Kubacki et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.