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Quasi-optics-inspired low-profile endfire antenna element

Abstract

In this paper, the design, operational principle and experimental validation of an endfire antenna element that is inspired by the energy-focusing characteristics of graded-index optical fibre are presented. The antenna operates with a bandwidth of 1.5 GHz centred around 14 GHz. It has a gain of around 5.5 dBi along the band of interest and a good pattern stability over the band. The antenna derives its unique nature from the arrangement of the arc-shaped parasitics, that couple onto the antenna´s driver dipole. An electromagnetic refractive index retrieval mechanism is used to guide the placement of the parasitics to enhance the gain. In addition to the design principle, a parametric study of the main parameters and their influence on the antenna behaviour is presented. The antenna is a potential candidate for use in multi-user massive MIMO antenna arrays for 5G communications where space is premium and in antenna array applications where a low-profile antenna element with a high gain is a necessity.

Introduction

Scenarios of high data-rate transmissions of several gigabits per second require the use of wide bandwidth and high directivity beams. The wide bandwidth is attained by shifting to a higher millimetre wave frequency, and to obtain high directivity beam, antennas need to be designed to focus the beam with high front-to-back (F/B) ratio. When employed in an array, such an antenna further enhances the directivity offered from the array. Recently there has been an increasing interest in the 14–15-GHz band [1,2,3]. A printed antenna configuration is attractive owing to the simplicity of manufacturing, scalability and the reduced cost. The conventional patch or printed dipole antennas generally have a low directivity omnidirectional pattern. Among the techniques used to enhance this directivity, the use of parasitic elements coupled to the printed dipole is appealing. Accordingly, an endfire antenna element based on parasitics aided quasi-Yagi and fibre-optics principle is proposed in this paper. Following the analogy to the graded refractive index optical fibre energy-focusing principle, the designed antenna element has its gain and directivity enhanced—mainly by a unique arrangement of parasitics around the driving sources, aided by reconfigured refractive index—referred to as quasi-optic approach.

Endfire antenna topologies such as the helical antenna, antipodal Vivaldi antenna and the Yagi-Uda antenna have been used in applications such as ultra-wideband, phased array, radars and microwave imaging. Printed endfire antenna elements have been used for high-gain applications. These are generally fed by a half wavelength resonant driver, and the coupling between the driver element and the director element is set to maximize the achievable gain. The compactness of resonant type antennas and the broad bandwidth characteristics were both simultaneously achieved in a single Yagi antenna [4] where a microstrip to CPS transition balun was used to add to the profile length. With the compactness and broad bandwidth addressed by antennas in [4, 5], papers [6, 7] focus on improving the antenna gain using techniques of a microstrip-fed inset patch as the driver, with parasitic patches added as directors to enhance the gain. The dipole feeding point in this antenna design is based upon [8], where the antenna operates in the 2–4-GHz band with a gain of around 5 dBi over the band. Since Yagi-Uda antennas or the endfire antennas in general are protrude-out-of-wall configurations, it adds immensely if this dimension of profile length could be minimized while retaining the high-gain characteristics. The novelty of the antenna that is presented in this paper is threefold: it offers the characteristics of [4,5,6,7], proposes a feeding structure to minimize the profile length and adds around 3 dBi to the gain of a basic Yagi antenna, by incorporating a specific, variable refractive index-guided novel arrangement of arc-shaped parasitics, in front of the driver dipole. This launches the surface waves in such a way as to aid their transformation into directional far-field components. A prototype of the low-profile antenna element which measures a square centimetre across has been fabricated and experimentally validated.

The rest of the paper is organized as follows: the antenna element design principle is introduced in Section 2, Section 3 discusses the antenna fabrication and experimental validation of the antenna element with the measurement results and Section 4 concludes.

Antenna design principle

The design philosophy adopted rests on the use and integration of three basic elements that form the antenna design: the driver dipoles, the printed reflector and the parasitics. The antenna was brought into operation over an evolved sequential design following first the principles. In the following, the design is discussed for each of the three constituent basic elements.

Driver dipoles

The substrate chosen for the printed antenna configuration has a dielectric constant εr = 3.55, loss tangent (tan δ) = 0.0027 and a thickness of 0.508 mm. The substrate area was chosen to mitigate the surface waves and the fringing edge effects to a considerable extent by maintaining a peripheral distance between the structure to the boundaries greater than a quarter wavelength. The substrate area was thus set to 12 mm × 11 mm. A λ/2 printed dipole centred at the chosen frequency of 14 GHz was designed. The arms of the dipole were chosen to be printed on opposite sides of the substrate to act as a self-balancing structure. Figure 1a shows the front view of the design of an arm of the dipole on the substrate and Fig. 1b shows the back view of the other arm. Initially, the length of each arm was selected as λ0/4 at 14 GHz, equal to 5.35 mm. The length of the arm was later fine-tuned through full-wave simulations to 3.9 mm to have the band centred at 14 GHz. A parametric variation of the arm length and its effect on S11 is shown in Fig. 2. For this parametric variation of other parameters such as the transition length and width, the reflector length and width are kept constant and only the arm length is varied in steps of 0.25 mm, displaying the tuning behaviour over the 12–18 GHz range for an arm length variation from 3 mm to 5.25 mm. This tuning behaviour demonstrates the potential of the antenna to be reconfigured in frequency.

Fig. 1
figure1

a Front view. b Back view

Fig. 2
figure2

Variation of frequency response with dipole arm length

The printed reflector

The antenna design requires a printed reflector to enhance the directivity and the front-to-back ratio. The design of the printed reflector is performed to use the reflector both as a ground and as a supporting structure to the SMA feeder connector. This requirement makes the reflector a stepped design with the width (tx) of the section facing the SMA near to λ0/4 at 14 GHz and equal to 5.5 mm. The actual reflector length (ref_x) is λ0/2 at 14 GHz equal to 10.7 mm. The final printed reflector, which is printed on the face opposite to the side where the SMA pin connects, is shown in Fig. 3 with its optimized dimensions.

Fig. 3
figure3

Printed reflector profile

A parametric study was performed over the transition width (tx), transition length (tz) and the reflector length (ref_x). As shown in Fig. 4, the reflector length variation (ref_x) does not affect the frequency behaviour excessively. This strengthens the dependence of the frequency behaviour of the antenna mainly on the arm length as shown in Fig. 2 with the reflector aiding in enhancing the front-to-back ratio. A redesign of the reflector is needed for each tuning frequency. It was observed that the transition dimensions affect the amount of realizable cross-polar levels. A parametric study of this dependence was performed by varying the transition length (tz) and transition width (tx) vs the observable cross-polar levels at Phi0 and Phi90 principal cut planes, and results are shown in Figs. 5, 6, 7 and 8. It was seen that the effect of varying the transition width (tx) is not as pronounced as the effect of varying the transition length (tz). Variation of tz controls the observable cross-polar levels. As seen from Fig. 8, a substantial increase in the cross-polar levels is observed around boresight for variations over tz. The length before the transition step is a crucial factor that controls the cross-polar levels of the antenna and therefore has been deduced to be equal to 1.66 mm both by considering the surface current distribution as shown in Fig. 9 and the cross-polar levels of the pattern. Here the surface current distribution is stronger on the dipole arms for the depicted cases of absolute surface current phase of 0°, 90° and 180°, showing that the reflector performs the field enhancement through reflection. The full-wave solver calculated values of the cross-polar levels after the full design of the antenna helps also in deciding the transition step length of tz = 1.66 mm and plays a critical role in the design.

Fig. 4
figure4

Effect of the variation of ref_x on S11 frequency response

Fig. 5
figure5

Effect of the variation of tx (transition width) on cross-polar level for Phi0 plane

Fig. 6
figure6

Effect of the variation of tx (transition width) on cross-polar level for Phi90 plane

Fig. 7
figure7

Effect of the variation of tz (transition length) on cross-polar level for Phi0 plane

Fig. 8
figure8

Effect of the variation of tz (transition length) on cross-polar level for Phi90 plane

Fig. 9
figure9

Surface current distribution on the reflector at phase a 0°,b 90° and c 180° at 14 GHz

The parasitics

In Fig. 9, the surface current distribution shows the currents strongly distributed on the dipole arms. It is intended to couple the electric field due to this onto the parasitics in a constructive way to enhance the far-field gain. To achieve this, a systematic distribution of parasitics is proposed. The first parasitic that couples the dipole arm field is a rectangle-shaped parasitic as shown in Fig. 10. The electric field coupled onto this rectangle-shaped parasitic is distributed along two oblique directions, using two symmetrically placed square parasitic elements, whose dimensions are 0.05 λ × 0.05 λ that translates to 1 mm × 1 mm, each suitably spaced from each other to enhance coupling, while equally distributing the electric field along two symmetric oblique directions. Figure 10 shows the rectangle-shaped parasitic and the two square parasitics coupling onto the dipole. The capacitive coupling gap between them was set to maximize the coupling.

Fig. 10
figure10

Rectangle-shaped parasitic and the two square parasitics coupling onto the dipole

In the following, the design of the arc-shaped parasitics is discussed. The shape of the parasitics was chosen as an arc, to channel the electric field obliquely. In addition, it also maximizes the coupling by maximizing the amount of exposed surface area that couples onto the next parasitic. The fibre-optic principle was used to position the parasitics along the antenna plane in front of the square resonators. The design derives its inspiration by analogy to a graded-index fibre-optic cable, whose core can be considered analogous to a certain cuboidal volume region, lying directly below the endfire central axis of the antenna, where the graded real refractive index is set to a maximum. The outward displacement towards the edges can be considered to represent the cladding—where there is a gradient decrease of the real refractive index moving away from the centre. This is achieved by the methodical placement of the arc-shaped parasitics in front of the driver dipoles over the antenna plane. The procedure to arrive at this is discussed next.

The dielectric substrate used in the antenna can be considered a homogeneous slab for the frequencies under consideration. The refractive index is the reconfigurable parameter that is used to direct the mechanism of radiation. Then according to [9], the general procedure for the retrieval of the material parameters, in this case, the real part of the refractive index is as follows: the arc-shaped parasitics are placed so that they focus the electric field towards the boresight axis. A one-dimensional transfer matrix T relates the fields on one side of a slab to the other. For a homogeneous 1D slab, it takes the form (1):

$$ T=\left(\begin{array}{cc}\cos (nkd)& -\frac{z}{k}\sin (nkd)\\ {}\frac{k}{z}\sin (nkd)& \cos (nkd)\end{array}\right) $$
(1)

where n is the refractive index, z is the wave impedance, k is the wave number and d is the thickness of the slab. A scattering matrix relates the impinging field amplitude to the outgoing field amplitude. The elements of the S matrix can be related to the elements of the T matrix as in (2) [10]:

$$ {\displaystyle \begin{array}{l}{S}_{21}=\frac{2}{T_{11}+{T}_{22}+\left({ ik T}_{12}+\frac{T_{21}}{ik}\right)},\\ {}{S}_{11}=\frac{T_{11}-{T}_{22}+\left({ ik T}_{12}-\frac{T_{21}}{ik}\right)}{T_{11}+{T}_{22}+\left({ ik T}_{12}+\frac{T_{21}}{ik}\right)},\\ {}{S}_{22}=\frac{T_{22}-{T}_{11}+\left({ ik T}_{12}-\frac{T_{21}}{ik}\right)}{T_{11}+{T}_{22}+\left({ ik T}_{12}+\frac{T_{21}}{ik}\right)},\\ {}{S}_{12}=\frac{2\det (T)}{T_{11}+{T}_{22}+\left({ ik T}_{12}+\frac{T_{21}}{ik}\right)}\end{array}} $$
(2)

For a homogeneous slab from equation (1),

$$ {T}_{11}={T}_{22}={T}_S\kern0.24em \mathrm{and}\kern0.36em \det (T)=1 $$

And the S matrix is symmetric. Using the information in equation (1), (3) and (4) can be derived:

$$ {S}_{21}={S}_{12}=\frac{1}{\cos (nkd)-\frac{i}{2}\left(z+\frac{1}{z}\right)\sin (nkd)} $$
(3)
$$ {S}_{11}={S}_{22}=\frac{i}{2}\left(\frac{1}{z}-z\right)\sin (nkd) $$
(4)

Solving equations (3) and (4) for n and z yields (5) and (6) [9]:

$$ n=\frac{1}{kd}{\cos}^{-1}\left[\frac{1}{2{S}_{21}}\left(1-{S_{11}}^2+{S_{21}}^2\right)\right] $$
(5)
$$ z=\sqrt{\frac{{\left(1+{S}_{11}\right)}^2-{S_{21}}^2}{{\left(1-{S}_{11}\right)}^2-{S_{21}}^2}} $$
(6)

The design principle of the antenna revolves mainly around equation (5) which gives the expression for the refractive index as a function of the reflection and transmission S parameters and the slab length d. The application of equation (5) is first performed over a single-unit cell of the arc-shaped parasitics (ASP) as shown in Fig. 11. The unit cell is excited by waveguide ports excited on the two faces of the dielectric slab on which the ASP is printed. On running the simulation in a full-wave solver for the desired frequency of interest, the S11 and S21 values can be obtained. The length of the arc of the ASP is 1.7 mm, around λ/10 at 14 GHz.

Fig. 11
figure11

A single-unit cell of the arc-shaped parasitic

Of the total 10 ASPs selected to enhance the endfire gain, five are on the left side of the endfire axis and the other five are symmetrically on to the other side. Equation (5) is used to calculate the refractive index as illustrated in Fig. 12 which depicts the way the refractive indices were calculated starting from the endfire central axis, towards the extreme left. Since the structure is symmetrical across the endfire axis, the same calculation of the refractive index holds for the right side as well.

Fig. 12
figure12

Illustration depicting the way of refractive index retrieval

From Fig. 12, starting from the extreme right, i.e. the central ASP, setting up the S parameter extraction and retrieval of the refractive index on the full-wave solver returns values specific to the band of interest and length of the slab (d) equal to 1 mm. This procedure is repeated for other four cases of d = 1.5, 2, 2.5 and 3 mm. The distance along the x-axis in Fig. 12 is not to scale, it is a pictorial depiction for clarity purposes of describing the setup. This methodology extracts the real part of the refractive index for this kind of unit cells in a sequential way. Their values as a function of frequency are plotted in Fig. 13, where the real part of the refractive index variation on the structure is shown, with different curves signifying—the distance between the arc-shaped parasitic element and the square resonator (d)—1 mm being the closest one near to the central axis and 3 mm for the one on the extreme flaring edges. The imaginary part of the refractive index in these cases is near zero signifying minimum loss in radiating energies.

Fig. 13
figure13

Real part of the refractive index of the unit cell parasitic arc-shaped resonators from centre towards edges

Figure 14 shows gradient depiction of the variation of the refractive index from the centre towards the edges with dark blue representing the highest real part of refractive index and lighter shade depicting a decreased value. This distribution of the real part of the refractive index makes the antenna behave analogous to a graded-index optical fibre that focuses energy towards the centre increasing the gain of the antenna. The simulation results of the antenna have been presented in [11].

Fig. 14
figure14

Gradient depiction of the gradient variation of the refractive index

Effect of antenna backplate

The antenna design described above in Sections 2.1, 2.2 and 2.3 is fed with a suitably designed 50-ohm coaxial SMA connector as in Fig. 15a. As the goal is to use the antenna in an array, a common mechanical support plate to connect and support multiple antenna elements is needed. The supporting plate is designed with a square hole in the centre as shown in Fig. 15b. The presence of the supporting plate with a hole has two functions: (1) It sufficiently isolates the ground of the designed antenna and maintains a purity in the tuning of the resonant frequency. (2) It enhances the obtained gain pattern by providing for improved cross polar levels. The 3D co-polar gain radiation pattern obtained out of the antenna without the backplate and with the holed backplate is shown in Fig. 16. The 3D cross-polar gain pattern for the same two cases is shown in Fig. 17.

Fig. 15
figure15

a Antenna without backplate. b With holed backplate

Fig. 16
figure16

3D co-polar radiation pattern of the antenna. a Without backplate. b With backplate

Fig. 17
figure17

3D cross-polar radiation pattern of the antenna. a Without backplate. b With backplate

The cross-polar discrimination (XPD) improvement for the case with the backplate is compared with the case without and is shown in the Cartesian plot in Fig. 18. It can be clearly seen that the XPD is improved considerably with the use of a holed backplate by 15 dB along the boresight direction for a beamwidth of 20°.

Fig. 18
figure18

XPD cross polar discrimination comparison for cases of without and with back plate

Measurements and discussion

The designed antenna obtained by combining the steps outlined in Section 2 is shown in Fig. 19 and consists of a dipole driver element with arms printed on opposite sides of the substrate and a printed reflector to improve the forward radiation. A parasitic rectangular director couples the E-field into the two square parasitic elements that act as driving sources to the arrangement of the arc-shaped parasitic unit cell. These are flared in a V shape and spaced 0.2 mm from each other. The dimensions of the proposed quasi-Yagi antenna are shown in Fig. 19. The simulations were carried out in Ansoft HFSS. The antenna has an operational band from 13.5 to 15 GHz, with a fractional bandwidth of 10.52%. The energy-channelling behaviour of the arc-shaped transitions is illustrated by the simulated current densities shown in Fig. 20 at 14 GHz. To check the validity of the proposed structure, a prototype was fabricated as shown in Fig. 21 and measured in an anechoic chamber. The simulated and measured S11 are compared respectively by a blue line and red dashed lines in Fig. 22: a 10-dB return loss bandwidth of approximately 1.5 GHz around 14 GHz is obtained. The printed antenna was backed by an aluminium supporting structure, with a square gap in the middle to allow for the SMA feeding and to enhance the XPD.

Fig. 19
figure19

Low-profile, high-gain quasi-Yagi antenna element dimensions. a Front view. b Back view

Fig. 20
figure20

Surface current distribution at 14 GHz

Fig. 21
figure21

Fabricated prototype with size of a square centimetre and the supporting structure

Fig. 22
figure22

Simulated and measured S11 behaviour of the antenna element operating from 13.5 GHz to 15 GHz for 10-dB return loss

Besides, both the principal pattern cuts as well as boresight direction (0°) gain were measured in a far-field anechoic chamber, directly attaching the prototype to the support plate of the roll over azimuth positioner, whose dimensions are much larger than the base of the fabricated prototype of Fig. 21. The model of the support plate is shown in Fig. 23 to give a comparison of the size. The simulated (blue dashed lines) and measured (red lines) radiation patterns for the co-polar component are compared in Figs. 24 and 25 for both principal planes, elevation and azimuth cuts, respectively. A slight asymmetry of the current distributions can be observed that explains the approximately 20° deviation of the maximum on the elevation cut shown by the red line on Fig. 24 a. An almost symmetric response is obtained in the azimuth cut shown in Fig. 24b. The large size of the supporting plate generates a reflected signal that adds to the prototype radiation causing an increased degradation of the measured patterns when departing from boresight (0°). Also, both the roll positioner and mast covered by absorbers block the measured signal on the back side which translates to minimum back lobes in the measured pattern as in Fig. 24a and b. A reasonable agreement between measurements and simulation patterns is obtained.

Fig. 23
figure23

Anechoic chamber support

Fig. 24
figure24

Comparison of simulated and measured elevation cut. a Simulation curve is without anechoic chamber backplate. b Simulation curve is with anechoic chamber backplate

Fig. 25
figure25

Comparison of simulated and measured azimuth cut. a Simulation curve is without anechoic chamber backplate. b Simulation curve is with anechoic chamber backplate

Moreover, the gain of the antenna was measured using the two-antenna method for its variation over frequency. The simulated (blue dashed line) and measured (red line) gains in the boresight direction are compared in Fig. 26. A gain variation of 1 dB is seen in the band of interest that can be attributed to the ripple associated with the variations of the direct and reflected signal with frequency. The measured gain at 14 GHz was around 6.0 dBi and keeps around 0.5 dB below the theoretical one in the 10-dB return loss bandwidth. Based on these results and preliminary theoretical checks of some modifications of the structure, oriented to symmetrize the current distributions on it, the proposed quasi-optics-inspired design methodology for low-profile endfire antenna can be considered experimentally validated.

Fig. 26
figure26

Simulated and measured gain plot vs frequency

Conclusion

A low-profile endfire antenna element inspired on fibre-optic principles is presented. A gradient-refractive index-based theoretical framework of the design, supported by parametric variation, is discussed. The antenna prototype has been fabricated and experimentally validated. It has an operation over 1.5 GHz of bandwidth centred around 14 GHz with a directional high-gain radiation pattern. The inherent layered structure when incorporated in an array aids to the better cooling of the antenna front end. The antenna element can find potential use in multi-user massive MIMO antenna arrays as well as in multibeam switching antenna arrays for 5G. The prototype has been adopted in a massive MIMO array and its performance has been validated. These findings are presented in [12] dedicated to the design and implementation of the massive MIMO array and its multi-beam characteristics. Moreover, a performance evaluation of the fabricated antenna in a unique reconfigurable array setup applied to practical scenarios using spatial modulation is presented in [13].

Availability of data and materials

The data used in the analysis and validation of the proposed antenna was generated by measurements at the vector network analyser and the anechoic chamber. Though this data has been presented in the form of graphs in the paper, raw data is available on request from the corresponding author.

Abbreviations

5G:

5th generation

ASP:

Arc-shaped parasitic

CPS:

Coplanar stripline

F/B:

Front-to-back ratio

HFSS:

High-frequency structure simulator

MIMO:

Multiple-input multiple-output

SMA:

SubMiniature version A

XPD:

Cross-polar discrimination

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Author information

VB proposed the main idea, completed the experiments, analysed the results and wrote the paper. BB contributed in the pattern measurements. LC and JB read the paper and contributed critical constructive reviews. All authors read and approved the final manuscript.

Correspondence to Vedaprabhu Basavarajappa.

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