I. Introduction
Wireless power transmission (WPT) technologies have been used to supply power to various electronic applications, such as smartphones, vehicles, and medical devices [1–9]. These WPT technologies are typically classified into three types: magnetic induction, magnetic resonance, and microwave radiation. In particular, microwave power transmission (MPT) has the advantage of transmitting power from a single transmit antenna (Tx) to a receive antenna (Rx) located in various directions through electronic beam steering if the Tx is designed as an array antenna [10–14]. In addition, compared to magnetic induction and magnetic resonance, MPT can transmit power over longer distances [15–17]. However, the drawback of MPT is that as the distance between a Tx and an Rx increases, propagation loss in free space also increases, which results in lower transmission efficiency. To overcome this problem, extensive efforts have been made to enhance the gain of the Tx by using back-to-back structures to microstrip antennas [18, 19], metasurfaces [20, 21], and superstrates on the patch antenna [22]. Although these antennas can achieve high-gain characteristics, they have several disadvantages, including high fabrication costs, complicated design processes, and bulky, heavy structures.
In this paper, we propose a high-gain patch antenna with director patches to enhance the gain for MPT applications. The proposed antenna is composed of a driven patch and seven stacked director patches. The driven patch is printed on a substrate and designed to operate the antenna at the fundamental mode. Then, seven director patches, which have the same distance between them, are stacked above the driven patch to enhance the bore-sight gain. The width of each director patch is determined using an arithmetic sequence. To obtain theoretical insight into gain enhancement, the end-fire array concept is applied to the proposed antenna based on the conventional Yagi antenna principle. To verify the theoretical approach, the radiation patterns obtained by simulation using the simulation software CST Studio Suite Full EM [23] are compared with those obtained by theory. To verify the feasibility of the proposed antenna, it is fabricated and measured in a full anechoic chamber to obtain the antenna properties, such as reflection coefficients, radiation patterns, and gains. The results demonstrate that the proposed antenna has high-gain characteristics and is suitable for MPT applications.
II. Proposed Antenna Design and Analysis
Fig. 1 shows the geometry of the proposed high-gain patch antenna with stacked director patches. The proposed antenna consists of a driven patch and seven stacked director patches. The driven patch has a length wr and is printed on a TLY-5 substrate (ɛr = 2.2, tanδ = 0.0009) with dimensions of ws × ws × ts (width × length × thickness). To operate the antenna in the fundamental mode (TM010), wr is derived according to Eq. (1):
where λ0 is the wavelength at an operating frequency of 5.8 GHz, and ɛr is the permittivity of the substrate. Above the driven patch, seven director patches (Dir1, Dir2, ···, Dir7) are stacked at a distance d of 0.15λ0. The director patches can enhance bore-sight gain using an end-fire array based on the conventional Yagi antenna principle. Each director has a width of wdn, which is determined by Eq. (2), expressed as an arithmetic sequence:
where n is the order of the director patch and 2×a is the common difference of the arithmetic sequence. Styrofoam substrates (ɛr = 1.11) with dimensions of ws × ws × d (width × length × thickness) are employed, and the director patches are attached on top of the substrates. The antenna is fed directly by an SMA connector from the bottom of the driven patch, and the feeding point is denoted as df, which is the y-axis distance from the center of the driven patch.
Fig. 2(a) illustrates a side view of a conceptual patch antenna with stacked director patches applying the end-fire array. To obtain theoretical insight, we analyzed the patch antenna with stacked director patches using the end-fire array. The geometry of the proposed antenna can be assumed to be that of an end-fire array because it has a similar geometry to the Yagi antenna, an antenna which has the geometry of an end-fire array. To observe the tendency of the array gain, the radiation pattern of the array elements was calculated, and based on this, the array gain was obtained by varying the distance between the patch elements and their phases. The far-field radiation pattern of each array element (Gn) was obtained using Eq. (3):
where A(θ) is the magnitude of the radiating pattern for a conventional patch antenna, d is the distance between each element, and ϕ is the phase difference. The total radiation pattern (Gtotal) is expressed by Eq. (4):
where N is the number of patches. In this study, the N of the proposed antenna was 8, which is the sum of one driven patch and seven director patches. Fig. 2(b) shows a comparison of the simulated and theoretical far-field radiation patterns. Solid and dashed lines indicate the theory and simulation results according to the application of the end-fire array, respectively, and the dotted line indicates the single-patch antenna. To verify the analysis of the theoretical approach, the radiation patterns of the end-fire array were compared with the results using CST. The theoretical bore-sight gain of the arrayed antennas was 11.7 dBi, an increase of 5.3 dB compared to the single-patch antenna. The simulated bore-sight gain of the arrayed antennas was 11.6 dBi, an increase of 5.2 dB compared to the single-patch antenna. These results showed similar tendencies of gain enhancement when applying stacked director patches using an end-fire array. Based on these results, the design variables were optimized through parameter studies for driven patches and director patches to maximize the gain.
Fig. 3 shows the simulated bore-sight gains in accordance with wr and a. The results show bore-sight gain in the parameter ranges of 15 mm ≤ wr ≤ 17 mm and 0 mm ≤ a ≤ 0.5 mm. A maximum gain of 11.6 dBi was obtained when the optimal values of wr and a were 16.3 mm (0.32λ0) and 0.15 mm (0.003λ0), respectively. Fig. 4 presents the simulated bore-sight gains according to the number of director patches n and distance d. Considering the limitation of the mounting space size of our MPT system, the bore-sight gain was observed within the range where the total antenna height h = d ×(n – 1) was less than 60 mm. Within this range, the maximum gain was found when n and d were 7 and 8 mm (0.15λ0), respectively. The optimized design parameters are listed in Table 1.
III. Analysis
Fig. 5 presents photographs of the fabricated high-gain patch antenna, which consists of a driven patch and director patches. The driven patch is fabricated on a TLY-5 substrate with a thickness of 0.8 mm (0.015λ0). As shown in Fig. 5(a), there are seven director patches, and they decrease in width from Dir1 to Dir7. These director patches are attached on Styrofoam with a thickness of 8 mm (0.15λ0). Fig. 5(b) represents the isometric view of the fabricated antenna. Director patches attached to Styrofoam are stacked on top of the driven patch. Fig. 5(c) shows the bottom view of the fabricated antenna, which is fed by the SMA connector.
Fig. 6 represents the reflection coefficients of the proposed antenna, where solid and dashed lines indicate the measured and simulated results, respectively. The measured reflection coefficient is less than −10 dB from 5.64 GHz to 5.89 GHz (fractional bandwidth of 4.3%), and the simulated reflection coefficient is less than −10 dB from 5.66 GHz to 5.89 GHz (fractional bandwidth of 4.0%). In particular, at 5.8 GHz, the measured and simulated reflection coefficients are −21.7 dB and −14.7 dB. Fig. 7 shows the measured and simulated bore-sight gains of the proposed antenna. To confirm the bore-sight gain improvement of the proposed antenna, the average bore-sight gains with and without director patches were compared in the frequency range from 5.4 GHz to 6.2 GHz. The “×” markers and solid line in Fig. 7 indicate the measurement and simulation results, respectively. The average bore-sight gains with and without director patches were 10.3 dBi and 3.6 dBi. The average gain improvement of 6.25 dB was achieved by applying the end-fire array with director patches. More specifically, at a target frequency of 5.8 GHz, the measured and simulated bore-sight gains of the proposed antenna were 12.5 dBi and 11.6 dBi. On the other hand, without director patches, the measured and simulated bore-sight gains were 7 dBi and 6.4 dBi, respectively. Fig. 8 illustrates the measured and simulated 2D radiation patterns of the proposed antenna in the zx- and zy-planes at 5.8 GHz. The measured and simulated half-power beamwidths (HPBWs) can be seen to be 48° and 50° in the zx-plane, while they are 42° and 44° in the zy-plane. These results demonstrate that the proposed antenna is suitable for MPT applications due to its high-gain characteristics.
IV. Conclusion
In this paper, we have proposed a high-gain patch antenna with stacked director patches. To achieve a high gain, the antenna performance was analyzed from the perspective of an end-fire array. The driven patch was printed on a substrate, and the director patches were stacked in seven layers on top of the driven patch. The proposed antenna achieved a reflection coefficient of −21.7 dB at 5.8 GHz. The bore-sight gain was improved by 6.25 dB on average over the frequency range from 5.4 GHz to 6.2 GHz compared to the case of the driven patch without director patches. At 5.8 GHz, the measured bore-sight gain was 12.5 dBi, which was an increase of 5.5 dB compared to the driven patch without director patches. The measured HPBWs were 48° and 42° in the zx- and zy-planes, respectively.