A Dual-Wideband Double-Layer Magnetoelectric Dipole Antenna with a Modified Horned Reflector for 2G/3G/LTE Applications

A novel dual-wideband double-layer magnetoelectric dipole unidirectional antenna with a modified horned reflector for 2G/3G/LTE applications is proposed. Firstly, a double-layer electric dipole structure is presented to provide a dualwideband, whose folded lower layer mainly serves the lower frequency band while the inclined upper layer works for the upper frequency band. In addition, to reduce the size of the antenna and improve impedance matching, a new feeding structure designed with inverted Ushaped and tapered line is introduced. Finally, a modified horn-shaped reflector, instead of a ground plane, is employed to achieve stable and high gains. The antenna prototype can achieve a bandwidth of 24.4% (790MHz–1010MHz) with a stable gain of 7.2 ± 0.6 dBi for the lower band, and a bandwidth of 67.3% (1.38GHz–2.78GHz) with a gain of 7.5 ± 0.8 dBi for the upper band covering all the frequency bands for 2G/3G/LTE systems. To the best of our knowledge, it is the first double-layer magnetoelectric dipole antenna proposed. Compared with the existing ME dipole antennas, the proposed antenna, which is completely made of copper, can be easily fabricated at low cost and thus is practicable for 2G/3G/LTE applications.


Introduction
With the rapid development of modern wireless communications, dual-band antennas have been widely applied in 2G/3G/LTE(4G) systems, where two separated frequency bands centered at 900 MHz (810-960 MHz) and 2.2 GHz (1.71-2.69GHz) have been allocated in China [1].In virtue of their advantages such as reducing numbers of antennas and minimizing installation area, the dual-band antennas have attracted tremendous attention.On the other hand, recently, there is an increasing interest in magnetoelectric (ME) dipole antennas, which can meet the high requirement of wideband mobile communications due to their excellent electrical characteristics, such as low cross-polarization, low back-lobe radiation, stable gain across the operating band and nearly identical and -plane patterns.With staircaseshaped feeding strip [2][3][4][5][6], differential feeding structure [7,8], or special dielectric material [8][9][10], this kind of antenna is able to achieve outstanding electrical performance and fairly wide impedance bandwidth.
A large number of designs have been developed with remarkable results.However, there are still some nonnegligible drawbacks for most of the existing ME dipole antennas and dual-band antennas.ME antennas usually have complex and bulky structures [5,6].In addition, the ME antennas which are made of special dielectric material or with differential feeding structure [8] are expensive.And the conventional dual-band antennas are usually arrayed in order to improve gains [1,11], which have the same drawbacks as the existing ME antennas.Otherwise, they are single ones with low gains [12,13].Therefore, a novel design of dual-band magnetoelectric dipole unidirectional antenna for 2G/3G/LTE applications with low profile structure, high gains, easy fabrication, and low cost, is highly desirable.Recently, a dual-wideband ME dipole antenna has been proposed for base stations [4].However, it still cannot cover the whole LTE frequency band  in cellular networks.Moreover, the gain drops sharply since it is ineffective in suppressing the radiation main beam which is split into two beams at high frequencies.
In this paper, instead of a horizontal planar electric dipole proposed in [2,5,6] or notch slots as in [3], a double-layer folded electric dipole structure with a certain inclination is utilized to provide wideband nature by changing the current distribution.In addition, for further size reduction and better impedance matching, inverted U-shaped and tapered-line designs are adopted in the novel feeding structure.Finally, to improve the stable gains and symmetrical unidirectional radiation patterns, a modified horned reflector is employed.In comparison with the existing ME dipole antennas, it is completely made of copper and easy to fabricate at low cost.In order to analyze the antenna structure effectively, we first propose a simplified equivalent circuit of the double-layer ME dipole antenna model and then derive its equivalent formula to guide the design.Measurements and simulations are performed to verify the design.To the best of our knowledge, the proposed antenna is the first double-layer magnetoelectric dipole antenna.

Antenna Description and Design Geometry
Fundamentally, the proposed antenna consists of a doublelayer folded electric dipole, an inverted U-shaped taperedline feeding structure and a horned reflector.The dimensions of the antenna are 200 × 140 × 51 mm 3 .Besides, the thickness of the patches adopts 0.3 mm in view of the versatility and cost.

Double-Layer Folded Magnetoelectric Dipole Geometry.
Figure 1 shows the geometry of the presented antenna.As shown in the 3D view and top view, the upper inclined rectangular patches and the lower horizontal rectangular patches are joined by upper vertical rectangular patches.The lower horizontal rectangular patches are connected to a pair of higher isosceles trapezoid patches by a pair of rectangular patches.Besides, the folded lower patches are designed to reduce the size and serve the lower frequency band while the inclined upper patches are devised to provide the upper frequency band.All of them compose the double-layer electric dipoles.In comparison with [3], the double-layer electric dipoles are more effective in increasing bandwidth at high frequencies.Figures 1(a) and 1(c) show that the lower horizontal rectangular patches are also connected to the ground plane by two lower vertical-isosceles trapezoid shorted patches which are separated by a gap of  1 = 13 mm.The two lower vertical shorted patches and the portion of the ground plane between them form a magneto dipole, which is equivalent to a parallel resonant capacitor.The electric dipoles and the magneto dipole jointly constitute a ME dipole which is placed in the center of a horn-shaped reflector.Excellent complementary electrical characteristics are resulted from mutual coordination between them.

Inverted U-Shaped
Tapered-Line Feeding Structure.In order to excite the antenna while reducing the size of the antenna and achieving good impedance matching, a novel inverted U-shaped tapered-line feeding structure is introduced.As shown in Figure 1(d), in comparison with [3], inverted U-shaped tapered-line feeding structure can easily attain better impedance matching, since tapered line can simply provide more degree of freedom for impedance matching.The feeding structure includes a transmission line and a coupling strip.The rectangular transmission line separates 1 mm from one of the vertical patches.It is vertically placed to the ground plane and the bottom end is connected to a SMA connector underneath the ground plane.The coupling strip consists of a horizontal rectangular patch and a vertical isosceles-trapezoid patch, the bottom of which is wider than the top.The horizontal part couples electrical energy to the antenna while the vertical part works together with one of the other vertical patches to compensate the inductance caused by the horizontal part.In comparison with the staircaseshaped feeding structure in [3,5], the inverted L-shaped coupling strip incorporated with the trapezoidal microstrip are simple and easy for excellent impedance matching.

Double-Layer
Horn-Shaped Reflector.Figures 1(a) and 1(c) show the geometry of the proposed double-layer horned reflector.At the upper layer, there is a rectangular box without upper surface and lower surface, whose dimensions are 200 × 140 × 5 mm 3 .And at the lower layer, there is a square horn whose upper surface and lower surface are 200 × 140 mm 2 and 200 × 80 mm 2 , respectively; the distance between them is 15 mm.The detailed dimensions for the antenna are summarized in Table 1.
is the center frequency of the lower frequency band, while   is the center frequency of the upper frequency band.

Theory and Parametric Study
Figures 2 and 3 show the schematic diagram and equivalentcircuit diagram of a simplified double-layer ME dipole antenna, respectively.According to the structure and function of the ME dipole antenna described in [14], the input impedance of antenna  in can be expressed as follows: where   ,   (),   (magnetic dipole),   ( + ), and   (electric dipoles) are the characteristic impedance of transmission line, the impedance of horizontal part of coupling strip, the impedance of magnetic dipole, the impedance of capacitance between  and ,  and , and the impedance of electric dipoles, respectively.In the resonant process, the horizontal part of coupling strip and electric dipoles mainly show inductive while magnetic dipole, vertical portions of feeding structure, and shorted wall chiefly display capacitive.
Based on (1), it can be easily seen that the input impedance is mainly affected by the parameters of the horizontal length and vertical height of electric dipole, the horizontal length and vertical length of the coupling strip, and so on.
As stated above, in order to observe how the dimensions of the antenna affect the performances, a parametric study is carried out by electromagnetic simulation software 3 [15].Throughout the course of the study, the metallic layers are set to have 0.3 mm thickness for practical applications.When one parameter is studied, the others are unchangeable.To obtain stable gain and excellent impedance matching, some important parameters of the U-shaped bow-tie ME dipole, inverted U-shaped tapered-line feeding structure, and horn-shaped reflector are selected to be studied.

The Inclination of the Upper Electric Dipole.
To reveal the impact of the inclination of the upper electric dipole, the height of  4 is investigated while keeping the length of  2 = 43 mm constant.The heights of  4 at 43, 51, and 59 mm are compared in the aspects of SWR and gain.
As shown in Figure 4, at the lower frequency band, the SWR of the proposed antenna with  4 = 43 mm rises sharply and the gain drops correspondingly, while the other are ( 4 = 51 mm,  4 = 59 mm) have no obvious fluctuation.And at the high frequencies of the upper frequency band, the gain of the proposed antenna with  4 = 51 mm is more stable than the other with changes in the range of 2 dBi.At the other part of the frequency bands, the SWRs and the gains of the antennas with the different dimensions keep stable.This is because the upper electric dipole with a suitable inclination is better on impedance matching and radiation patterns at high frequencies.Hence, the proposed electric dipole with  4 = 51 mm can broaden the impedance bandwidth significantly and keep gain stable.

The Low-Level Folded Electric Dipole.
To depict effect of the folded electric dipoles, SWRs and gains of the folded electric dipoles and unfolded electric dipoles are compared, as shown in Figure 5.It is clearly seen that there are obvious fluctuations in the SWR and gains of the unfolded electric dipoles at low and middle frequencies due to impedance  mismatching.As a result, the impedance bandwidth becomes narrow.Thus, folded dipoles can provide more flexible impedance matching in a limited space.
Besides, to depict the working mechanism of the doublelayer electric dipoles, the simulations of surface current distributions at 0.9 GHz, 1.8 GHz, and 2.7 GHz are carried out, as shown in Figure 6.
It is clearly seen that the current distribution at 0.9 GHz demonstrates much stronger currents around the low-level electric dipoles than the high-level ones.However, the current distributions on the high-level electric dipoles significantly enhance as the frequency increases.In other words, the folded low-level electric dipoles mainly serve the lower frequency band while the inclined high-level electric dipoles work for the upper frequency band.

Effect of the Inverted U-Shaped Tapered-Line Feeding
Structure.As mentioned above, in reality, the feeding strip can be divided into two parts: the transmission line and the coupling strip.The coupling strip is a critical part to bandwidth and gain of the antenna.

The Effect of the Horizontal Portion of Coupling Strip.
In order to reveal the impact of the horizontal portion of 6 International Journal of Antennas and Propagation  the strip, we study the length of  6 while keeping the width of  11 = 8 mm constant for good performance.It can be found that the gains are very sensitive to the parameters.As shown in Figure 7, a shorter  6 brings a larger fluctuation at low frequencies while a longer  6 produces a more obvious variation at high frequencies.Correspondingly, there are significant variations with the gains when the length of  6 is too short or long.Thus,  6 = 11 mm and  11 = 8 mm can be selected for wider bandwidth and more stable gain.The effect of the width of the horizontal portion of the strip ( 10 ) is similar to  6 .In brief, it can be concluded that the horizontal portion of the strip is crucial for wide bandwidth and stable gain.And it is equivalent to an inductive impedance which corresponds to   (electric dipoles) of the equivalent circuit in Figure 3.

The Effect of the Vertical Portion of Coupling Strip and
Magnetic Dipole.The vertical portion of the coupling strip coordinated with the vertically oriented patch of magnetic dipole to compensate the inductance caused by the horizontal portion [5].To investigate the usefulness of the vertical portion of the coupling strip, we studied its width ( 12 ) in the case of  8 = 24mm.As shown in Figure 8, in the upper frequency band, there is no obvious variation when  12 changes.However, either a shorter or a longer  12 brings out a larger SWR variation and unstable gain at lower frequency band.The impedance bandwidth becomes narrow when  12 is not equal to 12 mm, due to impedance mismatching.Thus,  12 = 12 mm is chosen for stable gain and low SWR.The impedance between the vertical portion of the coupling strip and the shorted wall is equivalent to a series capacitor   () in Figure 3.

Effect of the Horn-Shaped
Reflector.Figure 9 shows the effects on simulated gains and SWRs in the conditions of adopting a double-layer horned reflector, a box-shaped reflector, or a planar reflector.Among them, the fence heights ( 6 ) of the box-shaped and horned reflectors are the same.It can be easily seen that, with a horned reflector, the gain is more stable and the bandwidth is much wider than the other are (box-shaped reflector and planar reflector).In addition, with a planar reflector, the gain is the lowest.
As shown in Figure 10, in comparison with radiation patterns, the proposed antenna with a double-layer horned reflector has lower cross-polarization than the one with a planar reflector at high frequencies.Besides, the front-to-back ratio of the proposed antenna with a double-layer horned reflector is higher than the other.The reason for this is that adopting the double-layer horned reflector is more effective in suppressing the radiation main beam which divides into two beams at high frequencies.Therefore, it is an effective way to improve broadside gain and impedance matching with the double-layer horned reflector.

Experimental Results
To verify the proposed design, an antenna prototype according to the dimensions summarized in Table 1 was constructed, as shown in Figure 11.Measured results of SWR, antenna gain, and radiation patterns were obtained by Agilent E5071C network analyzer and a SATIMO antenna measurement system.

SWR and Gain
Figure 12 shows good agreement between the simulated and measured SWRs and gains of the proposed antenna.It is easily observed that, for the lower frequency band, the simulated impedance bandwidth is 26.7% from 0.78 to 1.02 GHz, while the measured impedance bandwidth is 24.4% from 0.79 to 1.01 GHz (SWR ≤ 2).For the upper frequency band, the simulated impedance bandwidth is 68.3% from 1.35 to 2.75 GHz, while the measured impedance bandwidth is 67.3% from 1.38 to 2.78 GHz (SWR ≤ 2).Both of them cover the frequency bands of 2G/3G/LTE (4G) systems.The measured gain varies between 6.6 dBi and 7.8 dBi for the lower band, while the measured antenna gain varies between 6.6 dBi and 8.3 dBi for

Conclusion
A novel dual-wideband double-layer magnetoelectric dipole unidirectional antenna with a modified horned reflector for 2G/3G/LTE applications is proposed.The design has been verified through measurements on a prototype of the antenna.The results show good performance in terms of wider bandwidth and stable gain, which are 24.4% (790 MHz-1010 MHz) and 7.2 ± 0.6 dBi for the lower band 67.3% (1.38 GHz-2.78GHz) and 7.5 ± 0.8 dBi for the upper band.Besides, both simulated and measured results show low cross polarization, low back radiation, and symmetrical and -plane patterns.Moreover, compared with the existing ME dipole antennas, the proposed antenna which is completely made of copper can be easily fabricated at low cost and hence is suitable for 2G/3G/LTE systems.However, due to the inherent limitation of threedimensional ME dipole antenna, its size is still somewhat large.In the future, if the ME dipole antenna can be further miniaturized without sacrificing performance, it would be more applicable for the portable devices.

Figure 1 :
Figure 1: Geometry of the proposed antenna.

Figure 6 :
Figure 6: Current distributions on the electric dipole.

Figure 9 :
Figure 9: Effects of the reflectors.
With a box reflectorCopol. of E-planeCross-pol. of E-planeCopol. of H-plane Cross-pol. of H-plane

Figure 11 :Figure 12 :
Figure 11: Photos of the proposed antenna.
Top view

Table 1 :
Dimensions for the proposed antenna.