# Ultra-Wideband Dielectric Lens Antennas for Beamsteering Systems

Authors: Renan Alves dos Santos; Gabriel Lobão da Silva Fré; Luís Gustavo da Silva; Marcelo Carneiro de Paiva; Danilo Henrique Spadoti
Journal: International Journal of Antennas and Propagation
 (2019)

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## Abstract

This paper presents a high-directivity ultra-wideband beamsteering antenna array. An innovative beamsteering system based on hemispherical dielectric lenses fed by a set of different printed antennas is proposed. Diversity of signals in different spatial positions can be radiated at the same time. A prototype was manufactured and characterized, operating in a bandwidth varying from 8 GHz to 12 GHz with gain up to 13 dBi.


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## Body

## 1. Introduction

Wireless communication systems are constantly evolving, driven by new proposals, such as the fifth-generation mobile communications system (5G) [1–4], Internet of things (IoT) [5–7], among others. Moreover, the exponential increase of mobile data traffic is challenging global researchers to propose new devices and technologies, since the current scenario will be unable to satisfy such expected demand.According to Shannon’s information theory [8], there are two ways to meet the growing data rate demands: either by increasing signal bandwidth or increasing the signal-to-noise ratio (SNR). Looking to the wireless communication systems, one of the main components that limit the speed of the data rate is the antennas, once is just a conventional passive radiator element. Therefore, antennas applied for the future telecommunication networks are expected to present high gain in a broadband frequency range and a reconfigurable radiation pattern [9–12]. Thus, there is a great interest in working with more directive radiators, which allows the signal-to-noise ratio at the receiver to be increased. This concept is being reached by system proposals with radiation pattern control [13, 14]. These systems can be summarized as a multiple antenna array that allows for radiated beam variation from a feeding phase control of each radiator element.In conventional systems with variable irradiated beams, i.e. beamsteering, a single signal is applied to each array antenna. Therefore, the beamsteering is a result of the time delay between these signals, reconfiguring the structure radiation pattern, but with great restraint since the output signal is always the same. As a solution to this limitation, there are several works on lens antennas for beamsteering systems [15–17]. The lens antennas advantage is that with only a single feeder, if the design is correctly executed such a directive structure as an antennas array is achieved. In addition, just by varying the position of the feeder relative to the center of the lens produces the beamsteering.It is possible to attend the need for high directivity and beamsteering with wideband operation using dielectric lens antennas [18, 19]. In [18], a spherical lens was fed by an antipodal Fermi tapered slot antenna array to obtain beamsteering at a bandwidth of 33.3%. In [19], a Luneburg lens based on a 2D parallel-plate structure was fed by probe pins periodically arranged in a circle obtaining beamsteering at a bandwidth of 24.1%. The studies presented in [8, 9] also have the capability to beamsteering over a large bandwidth, however, using a complex lens or feeder structure.In this paper, a hemispherical dielectric lens is fed by an ultra-wideband printed antenna array (Figure1) to obtain beamsteering at a bandwidth of 40%. The proposed structure offers a diversity of applications, with high gain in an ultra-wideband, with a simple structure design.Figure 1
Beamsteering system proposed.


## 2. Ultra-Wideband Printed Antenna Design

The ultra-wideband operation was achieved using a microstrip antenna (MsA). The first step was to reduce MsA’s ground plane by turning it into a printed monopole antenna [20]. The second step was to round the vertices at the patch bottom, transforming the printed monopole antenna in ultra-wideband printed antenna [20]. The design starts with a microstrip antenna dimensioning to operate at 10 GHz. A SMA connector was inserted into the feedline to minimize undesirable parasitic effects. The MsA dimensions are carefully calculated and adjusted to minimize the input reflection. The optimized parameters detailed in Figure 2(a) are patch width W = 12.9 mm and length L = 9.6 mm, the impedance matching slots width ωc = 0.52 mm and length xc = 3.2 mm, and feedline width ωl = 3.1 mm and length Lℓ = 2.13 mm, in a substrate thickness h = 1.52 mm.Figure 2
Printed antennas modifications: (a) microstrip antenna, (b) printed monopole antenna, and (c) ultra-wideband printed antenna.
(a)
(b)
(c)The MsA simulated reflection coefficient,S11, of the input port is plotted in Figure 3(a). The optimized bandwidth varyies from 9.75 to 10.25 GHz for S11 < −10 dB (5%). The reduction in the ground plane decreases the MsA merit factor, increasing the bandwidth. The printed monopole antenna (see Figure 2(b)) has no impedance-matching slots. The slots act as a narrowband impedance matching device impairing the ultra-wideband antenna’s behavior.Figure 3
Printed antenna bandwidth widening study. (a) Ground plane reduction. (b) Patch bottom vertices rounding.
(a)
(b)The printed monopole antenna bandwidth widening was investigated in terms of the ground plane length (Lt). The printed monopole antenna reflection coefficient was simulated and the results for different Lt are plotted in Figure 3(a). This antenna operates from 6.92 to 11.1 GHz for Lt = Lℓ = 3.2 mm, increasing fractionate bandwidth by 46.4%.A smooth impedance transition between the feedline and the patch is guaranteed by the rounding vertices, eliminating the charge concentration. Thus, an improvement in both the impedance matching and in the broadband operation was achieved.Ultra-wideband printed antenna (see Figure2(c)) was investigated in terms of the rounding radius (ρ). The radius ρ = 0 mm refers to the patch without any rounding. The increment in ρ was done in function of the width W. The simulated reflection coefficient of the input port was plotted in Figure 3(b). In principle, increasing the ρ size, a significant improvement was observed not only in the S11 but also in the antenna band widening. As a result, the antenna largest bandwidth operates from 6.8 to 12.86 GHz for ρ = 0.3, W = 3.87 mm, increasing fractionate bandwidth by 61.65%.The radiation pattern is shown in Figure4 for the ultra-wideband printed antenna (Lt = 3.2 mm and ρ = 3.87 mm) for the frequencies f = 7, 10, and 13 GHz, in black, red, and blue curves, respectively. It is possible to note that the gain is 2 dBi (7 GHz), 4 dBi (10 GHz), and 3 dBi (13 GHz), respectively. The ground plane acts as a director, i.e., the maximum radiation occurs for ϑ = 180°. The ground plane reduction modifies the radiation format, compared with a conventional microstrip antenna. However, the ground plane reduction guarantees ultra-wideband operation. The antenna operates with a radiation pattern similar to a half wavelength dipole at 10 GHz (omnidirectional in the xz-plane and with two nulls in the yz-plane). However, the surface current distribution in the patch deforms the radiated fields especially in the band limit (7 GHz and 13 GHz).Figure 4
Radiation pattern for the ultra-wideband printed antenna. (a)xz-plane; (b) yz-plane.
(a)
(b)


## 3. Ultra-Wideband Dielectric Lens Antennas for Beamsteering Systems

A device with a hemispherical dielectric lens fed with an ultra-wideband printed antenna (Lt = 3.2 mm and ρ = 3.87 mm) was designed to increase the gain. Operation in microwave frequency ranges requires appropriate lens material to avoid electromagnetic impairments, such as attenuation, fading, among others. The lens was built with polytetrafluoroethylene polymer (PTFE) with low dielectric losses in the microwave frequency range. Moreover, the design of the hemispherical dielectric lens antenna (see Figure 1) involves two main variables: the distance between the feeders and the flat surface of the lens (d) and the lens radius (R) [21, 22]. The d value indicates the focal point in which the feeder should be positioned. As present in [20], the d value represents the correct distance between the feeders and the flat surface of the lens, in which the lens can efficiently work as an energy collimator. The radius R = 90 mm was chosen to facilitate the manufacturing process, and the d value can be determined from [21] as follows:(1)d=εreεrl−εre−1R,where εrl and εre are the lens dielectric permittivity, and the external medium dielectric permittivity, respectively.For the design of the hemispherical dielectric lens, we used polytetrafluoroethylene (PTFE) material withεrℓ = 2.2 and radius R = 3λ0 at 10 GHz (R = 90 mm), where λ0 is the wavelength in the free space, and the external medium is a vacuum, resulting in a d = 96.24 mm. The ultra-wideband printed antenna results in a wide bandwidth in terms of its reflection coefficient (S11). Consequently, it is important to investigate the impact on lens impedance matching, as well as the formation of radiation throughout the bandwidth.


### 3.1. Impact of Lens and Mutual Coupling between Illuminators inS11

Figure5 shows the reflection coefficient (numerically calculated by ANSYS HFSS) considering a scenario with three angled illuminators, with variation of ϑ = 20°, as shown in Figure 1. The mutual coupling among the feeders, as well as the reflections, that occur in the transition between the air and lens causes these small variations in the S11 curves. However, the reflection coefficient frequency response (presented in Figure 5) shows good similarity when compared with the S11 with only one ultra-wideband printed antenna. Therefore, the existence of the lens and the presence of more than one feeder do not significantly impair the S11.Figure 5
Influence of mutual coupling among feeders and reflections that occur in the transition between air and lens in the reflection coefficient.


### 3.2. Formation of Radiation throughout the Bandwidth

In addition to theS11 values, it is important to study the behavior of the radiated fields. In this project, the function of the lens was to collimate the energy that comes from the feeder converting it into a nonhomogenous plane-wave (with the same phase, but with different amplitude). Thus, Figure 6 shows the electric field magnitude for three frequencies: 7 GHz, 10 GHz, and f = 13 GHz. These frequencies were chosen to study the wavefront formation at the beginning, middle, and end bandwidth ranges.Figure 6
Ultra-wideband dielectric lens electric field magnitude analysis. (a)f = 7.0 GHz, (b) f = 10.0 GHz, and (c) f = 13.0 GHz.
(a)
(b)
(c)Forf = 7 GHz (Figure 6(a)), the lens diameter relative to the wavelength is d = 4.08λ0, i.e., electrically smaller than 10 GHz. Therefore, resonance effects can occur inside the dielectric material [23]. This effect was highlighted by the white dotted curve, in Figure 6(a). However, since the lens diameter is greater than λ0, the lens output is still in equiphase. For f = 10 GHz, a resonance intensity reduction occurred indicating small perturbation in the radiation, thereby keeping a plane wavefront. For f = 13 GHz, a leakage of energy at the lens edges occurred, as shown by the white dotted curve, in Figure 6(c). For higher frequencies, the ultra-wideband printed antenna tends to drive the energy to a position outside of the lens’s capture area. As a result, undesirable effects occur but do not affect the output equiphase radiation wavefront.By analyzing the reflection coefficient and the radiated field distribution, the antenna bandwidth was defined between 8 GHz ≤f ≤ 12 GHz, with a fractional band of operation Bw = 40%, in relation to the central frequency f = 10 GHz.


## 3.1. Impact of Lens and Mutual Coupling between Illuminators inS11

Figure5 shows the reflection coefficient (numerically calculated by ANSYS HFSS) considering a scenario with three angled illuminators, with variation of ϑ = 20°, as shown in Figure 1. The mutual coupling among the feeders, as well as the reflections, that occur in the transition between the air and lens causes these small variations in the S11 curves. However, the reflection coefficient frequency response (presented in Figure 5) shows good similarity when compared with the S11 with only one ultra-wideband printed antenna. Therefore, the existence of the lens and the presence of more than one feeder do not significantly impair the S11.Figure 5
Influence of mutual coupling among feeders and reflections that occur in the transition between air and lens in the reflection coefficient.


## 3.2. Formation of Radiation throughout the Bandwidth

In addition to theS11 values, it is important to study the behavior of the radiated fields. In this project, the function of the lens was to collimate the energy that comes from the feeder converting it into a nonhomogenous plane-wave (with the same phase, but with different amplitude). Thus, Figure 6 shows the electric field magnitude for three frequencies: 7 GHz, 10 GHz, and f = 13 GHz. These frequencies were chosen to study the wavefront formation at the beginning, middle, and end bandwidth ranges.Figure 6
Ultra-wideband dielectric lens electric field magnitude analysis. (a)f = 7.0 GHz, (b) f = 10.0 GHz, and (c) f = 13.0 GHz.
(a)
(b)
(c)Forf = 7 GHz (Figure 6(a)), the lens diameter relative to the wavelength is d = 4.08λ0, i.e., electrically smaller than 10 GHz. Therefore, resonance effects can occur inside the dielectric material [23]. This effect was highlighted by the white dotted curve, in Figure 6(a). However, since the lens diameter is greater than λ0, the lens output is still in equiphase. For f = 10 GHz, a resonance intensity reduction occurred indicating small perturbation in the radiation, thereby keeping a plane wavefront. For f = 13 GHz, a leakage of energy at the lens edges occurred, as shown by the white dotted curve, in Figure 6(c). For higher frequencies, the ultra-wideband printed antenna tends to drive the energy to a position outside of the lens’s capture area. As a result, undesirable effects occur but do not affect the output equiphase radiation wavefront.By analyzing the reflection coefficient and the radiated field distribution, the antenna bandwidth was defined between 8 GHz ≤f ≤ 12 GHz, with a fractional band of operation Bw = 40%, in relation to the central frequency f = 10 GHz.


## 4. Results and Discussion

An experimental setup was developed, as shown in Figure7, with three ultra-wideband printed antenna as feeders. Then, a device was designed for the lens mechanical suspension composed of a wooden base (brown), with relative dielectric permittivity and dissipation factor, εrw = 1.22 and tan(δ)w = 0.1, respectively [24]. Polylactic (PLA) supports were used for the lens, feeder position, and alignment (in gray color), with εrs = 2.79 and tan(δ)s = 0.2 [25]. To improve the lens support, a cylindrical extension was designed, with length ds = 20 mm and width ts = 10 mm (see Figure 6(c)). The device configuration was studied in the ANSYS HFSS in order to cause the least prejudicial influence possible in the operation of the structure. The device configuration was studied in the ANSYS HFSS in order to cause the least prejudicial influence possible in the operation of the structure. The mounting bracket geometry was studied to minimize undesirable influences in the impedance matching and radiation pattern. So, a prototype for ultra-wideband dielectric lens antenna for beamsteering system was constructed (see final experimental setup in Figure 8).Figure 7
Model of the ultra-wideband dielectric lens antenna for beamsteering systems. (a) Side view. (b) Front view. (c) Upper view. (d) Back view.
(a)
(b)
(c)
(d)Figure 8
Ultra-wideband dielectric lens antennas for beamsteering system prototype. (a) Side view. (b) Upper view.
(a)
(b)


### 4.1. Reflection Coefficient

Figure9 shows the simulated and measured S11 curves of the proposed hemispherical dielectric lens antenna. The measured and simulated curves are very similar. The small variations between the curves are credited mainly to manufacturing errors and fluctuations in material properties. However, the prototype continues to have a bandwidth of 40% (8 GHz ≤ f ≤ 12 GHz).Figure 9
Reflection coefficient for an ultra-wideband dielectric lens antennas.


### 4.2. Radiation Performance

As presented in [21], when the primary feeders have a wide beam radiation pattern, there is an energy overflow at the lens edges. This directly impacts the lens aperture efficiency, reducing directivity, and consequently reducing the gain. According to [21], using a directional horn antenna, the maximum aperture efficiency for PTFE lens is 59%. However, illuminating this lens with a broadband printed antenna as feeder the maximum aperture efficiency obtained is 42%, due to the wide beam radiation pattern.Even with the reduction in the lens aperture efficiency due to the omnidirectional radiation pattern, we chose to use a printed antenna to guarantee its main advantage, i.e., ultralarge bandwidth operation. This is the main reason for choosing this feeder for the design.The reconfigurable radiation patterns with three ultra-wideband printed antennas, angled in 20° between each antenna, were simulated and measured (see Figure10). Antenna 1 (A1) had ϑ = 0°, antenna 2 (A2) had ϑ = 20°, and antenna 3 (A3) had ϑ = 40°. The ANSYS HFSS simulation results were compared with experimental data for two different frequencies, f = 8 GHz and f = 10 GHz. These frequencies were chosen due to practical limitations, mainly because of the unavailability of a reference antenna operating above 10 GHz in our laboratory. The measured and simulated curves also showed extreme similarity. Again, the small variations between the curves can be credited to manufacturing errors and fluctuations in material properties. However, the prototype continues to present high gain, up to 13.0 dBi for f = 8 GHz and 13.3 dBi for f = 10 GHz.Figure 10
Ultra-wideband dielectric lens antennas for beamsteering system radiation pattern. A1 simulation,  A1 measurement,  A2 simulation,  A2 measurement,  A3 simulation,  A3 measurement. (a) f = 8 GHz; (b) f = 10 GHz.
(a)
(b)


### 4.3. Comparative Study

A comparative study of the proposed antenna with other preexisting literature designs of ultra-wideband dielectric lens antennas for beamsteering systems is presented in Table1. We compared the structure complexity (lens or feeder), the lens radius, the gain in the direction of maximum radiation, and percentage bandwidth. The spherical lens [17] was designed with a radius of 2.4λ0. When fed by an antipodal Fermi tapered slot antenna array, a gain of 20.0 dBi and a bandwidth of 33.3% were achieved. The main disadvantage of this structure is the complexity of the feeders. The Fermi tapered slot antenna array is very small, which can make the design for certain frequencies very complicated. The parallel-plate Luneburg lens antenna [18] was designed with a radius of 3.6λ0. The authors achieved a gain of 14.5 dBi and a bandwidth of 24.1% when the antenna was fed by a probe pins. The main disadvantage of this structure is the complexity of the lens. The parallel-plate Luneburg lens has several dielectric layers, as well as two metal planes. Therefore, it is considerably complex and has high manufacturing cost. The design presented in this paper has similar results to those proposed in [18, 19]. However, there are some advantages: the feeders are compact, inexpensive, and easy to manufacture. Moreover, the dielectric lens is simple and homogeneous, presenting low cost and easy manufacturing (3D printer, for example). Additionally, the simpler structure of the set presents high gain in ultra-wideband with diversity of applications.Table 1
Comparisons with previous works of ultra-wideband dielectric lens antennas for beamsteering systems.
Reference
Structure
Lens radius (λ0)
G
0 (dBi)
Bw (%)
[18]
Complex
2.4
20.0
33.3
[19]
Complex
3.6
14.5
24.1
This work
Simple
3.0
14.2
40.00


## 4.1. Reflection Coefficient

Figure9 shows the simulated and measured S11 curves of the proposed hemispherical dielectric lens antenna. The measured and simulated curves are very similar. The small variations between the curves are credited mainly to manufacturing errors and fluctuations in material properties. However, the prototype continues to have a bandwidth of 40% (8 GHz ≤ f ≤ 12 GHz).Figure 9
Reflection coefficient for an ultra-wideband dielectric lens antennas.


## 4.2. Radiation Performance

As presented in [21], when the primary feeders have a wide beam radiation pattern, there is an energy overflow at the lens edges. This directly impacts the lens aperture efficiency, reducing directivity, and consequently reducing the gain. According to [21], using a directional horn antenna, the maximum aperture efficiency for PTFE lens is 59%. However, illuminating this lens with a broadband printed antenna as feeder the maximum aperture efficiency obtained is 42%, due to the wide beam radiation pattern.Even with the reduction in the lens aperture efficiency due to the omnidirectional radiation pattern, we chose to use a printed antenna to guarantee its main advantage, i.e., ultralarge bandwidth operation. This is the main reason for choosing this feeder for the design.The reconfigurable radiation patterns with three ultra-wideband printed antennas, angled in 20° between each antenna, were simulated and measured (see Figure10). Antenna 1 (A1) had ϑ = 0°, antenna 2 (A2) had ϑ = 20°, and antenna 3 (A3) had ϑ = 40°. The ANSYS HFSS simulation results were compared with experimental data for two different frequencies, f = 8 GHz and f = 10 GHz. These frequencies were chosen due to practical limitations, mainly because of the unavailability of a reference antenna operating above 10 GHz in our laboratory. The measured and simulated curves also showed extreme similarity. Again, the small variations between the curves can be credited to manufacturing errors and fluctuations in material properties. However, the prototype continues to present high gain, up to 13.0 dBi for f = 8 GHz and 13.3 dBi for f = 10 GHz.Figure 10
Ultra-wideband dielectric lens antennas for beamsteering system radiation pattern. A1 simulation,  A1 measurement,  A2 simulation,  A2 measurement,  A3 simulation,  A3 measurement. (a) f = 8 GHz; (b) f = 10 GHz.
(a)
(b)


## 4.3. Comparative Study

A comparative study of the proposed antenna with other preexisting literature designs of ultra-wideband dielectric lens antennas for beamsteering systems is presented in Table1. We compared the structure complexity (lens or feeder), the lens radius, the gain in the direction of maximum radiation, and percentage bandwidth. The spherical lens [17] was designed with a radius of 2.4λ0. When fed by an antipodal Fermi tapered slot antenna array, a gain of 20.0 dBi and a bandwidth of 33.3% were achieved. The main disadvantage of this structure is the complexity of the feeders. The Fermi tapered slot antenna array is very small, which can make the design for certain frequencies very complicated. The parallel-plate Luneburg lens antenna [18] was designed with a radius of 3.6λ0. The authors achieved a gain of 14.5 dBi and a bandwidth of 24.1% when the antenna was fed by a probe pins. The main disadvantage of this structure is the complexity of the lens. The parallel-plate Luneburg lens has several dielectric layers, as well as two metal planes. Therefore, it is considerably complex and has high manufacturing cost. The design presented in this paper has similar results to those proposed in [18, 19]. However, there are some advantages: the feeders are compact, inexpensive, and easy to manufacture. Moreover, the dielectric lens is simple and homogeneous, presenting low cost and easy manufacturing (3D printer, for example). Additionally, the simpler structure of the set presents high gain in ultra-wideband with diversity of applications.Table 1
Comparisons with previous works of ultra-wideband dielectric lens antennas for beamsteering systems.
Reference
Structure
Lens radius (λ0)
G
0 (dBi)
Bw (%)
[18]
Complex
2.4
20.0
33.3
[19]
Complex
3.6
14.5
24.1
This work
Simple
3.0
14.2
40.00


## 5. Conclusions

This paper numerically and experimentally investigated a directive, ultra-wideband, and reconfigurable system based on dielectric lens antennas for beamsteering operations. Simulated and measured results prove the structure’s effectiveness. The bandwidth varies from 8 GHz to 12 GHz, and gain is greater than 13 dBi. Thus, the developed ultra-wideband dielectric lens antenna for beamsteering system could be an interesting solution to match the demands of future wireless communication systems.



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*Source: 6732758-2019-08-06.xml*