Design of Microstrip Antenna Array with Suppressed Back Lobe

A practical procedure to reduce the back lobe level of linear microstrip antenna arrays is presented in this paper. The novel concept consists in the design of the radiators asymmetrically positioned with respect to the ground plane. In order to validate this technique, a four-element linearly-polarized array is designed in the HFSS software and a prototype is manufactured. Furthermore, the design of beamforming circuit to achieve broadside radiation and -20 dB side lobe level is detailed. Very good agreement between simulated and experimental results is obtained. Although the technique is presented for linearly polarized arrays, it is general and can also be applied in the circularly polarized ones.


I. INTRODUCTION
Microstrip antenna arrays are widely used in global navigation satellite systems (GNSS) and communication systems due to its low profile characteristic, conformability, lightweight and low cost [1].These arrays, when composed by linearly polarized patches in side by side configuration [2], exhibit a high back lobe level [2]- [4] due to asymmetric E-plane radiation pattern [5].This undesired behavior allows that multipath signal propagation remain a dominant cause of error in differential positioning system [6].Also, it affects the coverage capacity of base station sectorial antenna, due to the overlapping areas between adjacent sectors [7].
The above-mentioned difficulties can be mitigated by using a low back lobe antenna.In the case of base station antennas array, FBR (front-back ratio) more than 20 dB is recommended in order to increase the subscriber capacity [7].Various solutions for the improvement of FBR performance are available in the literature [6]- [14].These solutions, based on technologies like that: electromagnetic bandgap (EBG), micromachining technology, substrate integrated waveguide (SIW), slotted ground choke, leaky-wave antenna, ground plane edge shaping and backed reflector behind the radiator, are efficient, but make manufacturing process more complex.The improvement of the FBR in a simple way is proposed in this paper, the solution is based on the antennas positioning with respect to the ground plane, thus making the manufacturing process simpler.This paper is structured as follow: In

Design of Microstrip Antenna Array with
Suppressed Back Lobe Eduardo S. Silveira, Daniel C. Nascimento, Alexis F. Tinoco-S.
the section II the back lobe radiation of a probe fed linear microstrip antenna array is presented as result of the asymmetric far field E-plane radiation pattern.In the sequence a technique based on the antenna positioning with respect of ground plane is carried out, reducing the undesired back lobe.This technique applied to a side by side array that makes the E-plane far field symmetric is assisted by a parametric simulation.
Section III describes a four-element side by side array design based on the prior studies.Special attention is given to the beamforming circuit design in section IV, to synthetize the excitation coefficients for a side lobe level of -20 dB.The section V shows the array prototype manufacturing and its experimental input impedance matching and radiation characteristics, compared with the theoretical ones.According [7] a FBR better than 20 dB is the goal of this work.

II. BACK LOBE ANALYSIS
Before starting the finite ground plane array design, a study of back lobe radiation becomes necessary for the better understanding of the back radiation mechanism.This undesired effect is treated in this work by the analysis of single antenna and two arrays printed in dielectric substrate of 2.55 relative permittivity and 3.048 mm thickness, both designed in HFSS software.
Firstly, a linearly-polarized single microstrip radiator is analyzed in HFSS software to elucidate the E-Plane asymmetries effect [5] and to provide elementary knowledge and skills for the array design.
The analyzed antenna operating at 2.5 GHz (Fig. 1a) is a probe fed square microstrip patch of dimensions (35.0 mm×35.0mm), printed atop of square dielectric substrate of dimensions (100.0 mm × 100.0 mm).Radiation patterns of E-plane (xz), and H-plane (yz), are presented in (Fig. 1b).The radiator operates in the fundamental mode (  The E-plane radiation pattern of this radiator is indubitably asymmetric, enforcing a relevant field level in the back region.The asymmetric far field is attributable to the difference in phase between the fringes.This phenomenon is caused by the fact that probe excitation creates evanescent modes that 462 contributes to radiation pattern distortion [15].This asymmetric shape in the E-plane is more pronounced for antennas printed in thicker substrates [16]. This undesired far field in the back region of a single element will create a high back lobe level when an array is composed.The back lobe behavior is next investigated in terms of the eight-elements arrays with half-wavelength spacing, in the side by side (Fig. 2) and collinear (Fig. 3) configurations.
These arrays are designed in HFSS software and uniformly excited.Radiation pattern for both configurations are presented in Fig. 4.This figure illustrates that back lobe of side by side configuration is higher than collinear one.Depending on the electrical dimensions of ground plane and substrate thickness, the back lobe grows to unacceptable values [2], [16]- [17].An intuitive way to reduce the back lobe of side by side array is the compensation of fringing phase differences, making the E-plane radiation pattern symmetric and with a null at back lobe direction.In this work this compensation is realized by means of the border diffraction effects controlled by the radiators asymmetrically positioned with respect to the ground plane.
In order to get this condition, a back lobe level is investigated by a parametric analysis of relative positioning of the radiators with respect of the ground plane.This analysis is carried out, looking for the null of back lobe level that is achieved when the diffracted fields at ground plane border reach a condition that compensates the difference of the fringes phase.From the parametric analysis it is clear that setting correctly G 1 and G 2 dimensions, the back lobe can be suppressed.To make evident the back lobe level reduction, the Tables 1 and 2 were built, synthetizing the data from the radiation patterns showed in Fig. 3 (a) and (b).On the other hand, in Fig. 7, the influence of G 3 and G 4 parameters, in the array back lobe is presented.One can observe that these parameters do not affect the array FBR.

III. ARRAY DESIGN
After detailing the back lobe level control process, the design of a four-elements array with halfwavelength spacing assisted by HFSS software is carried out, which allows a prototype to be built and tested.The array geometry is presented in Fig. 8. Using the Arlon CuClad 250-GX of 3.048 mm thickness, the array patches dimensions (A=B=35 mm) are established to provide an ISM 2.5 GHz operating frequency.The probe position p is set to 12 mm.The separation S i between the elements is defined as 60 mm (λ 0 /2).As previously exposed, the ground plane dimensions are (G 1 = 100 mm, G 2 = 50 mm, and G 3 = G 4 = 140 mm), to eliminate the back radiation.The antennas are excited with the following incident voltage wave coefficients [18] (a 1 = a 4 = 0.64 and a 2 = a 3 = 1), calculated by a least square linear constraints algorithm [19], establishing SLL (side lobe level) of -20 dB.The coefficients indexes are related to each array element, taking the Fig. 8 as reference.To illustrate the potential of this technique in the back lobe reduction, radiation patterns of the array with asymmetric (G 1 = 100 mm and G 2 = 50 mm) and symmetric (G 1 = G 2 ) ground plane are shown in Fig. 9. Finally, to validate the explanation above described with respect of asymmetric radiation pattern, the far field E-plane (xz-plane) of the array is plotted in Fig. 10 for the asymmetrical and symmetrical ground plane conditions.Using the correct asymmetrical ground plane dimensions, it is possible to observe the symmetric radiation pattern with a null at θ = 180 o , responsible for the back lobe elimination.After the array project, the next step consists in the beamforming circuit design, presented below, contemplating the excitations above described.

IV. BEAMFORMING CIRCUIT DESIGN
The topology of the antenna array with beamforming circuit is a multilayer structure presented in the Fig. 11, where the circuit is positioned behind the antenna ground plane.The beamforming dielectric substrate is the TMM 4 of h 2 = 0.381 mm.An electrical thin substrate is employed in order to reduce microstrip circuit radiation.Note that, due to relative permittivity and dielectric thickness, the employed microstrip transmission line characteristic impedance (Z 0 ) is extremely low (values between 20 Ω and 50 Ω).This values are used to insure widths between 0.7 mm and 2.6 mm to designed transmission lines.Having chosen the beamforming structure, the transition between the printed antenna and the beamforming circuit was designed following [2].It is composed of a cylindrical probe (radius = 0.65 mm and length = 3.429 mm).Firstly, considering the aforementioned coefficients, the beamforming circuit was optimized for real active input impedance (Z in ) at the reference planes (RP) indicated in Fig. 12 (a).Furthermore, in Fig. 12 (b), the first set of quarter wave transformers are used to reduce the active terminals impedance (Z in = 10Ω) as indicated.

V. ARRAY PROTOTYPE AND EXPERIMENTAL RESULTS
After the array (section III) and beamforming circuit (section IV) designs, a prototype manufactured on LAP/ITA (Laboratory Antennas Propagation of Technological Institute of Aeronautics).The antenna array and beamforming circuit were manufactured using the T-Tech Quick Circuit AMC 2500.These two dielectric substrates were integrated using the Rogers 3001 bonding film.As this bonding film is a low loss dielectric, the antenna array ground plane had to be removed, imposing that the beamforming circuit ground plane works like antennas array ground plane simultaneously.
The beamforming circuit prototyped in the TMM substrate is presented in Fig. 16

VI. CONCLUSION
This paper has shown a simple and easy-to-manufacture concept to reduce the back lobe level of microstrip antenna arrays.The proposed procedure is based on the asymmetrical disposal of the array elements with respect to the ground plane.A four-element linearly polarized antenna array was designed to verify the concept and special attention to its beamforming circuit design was given.
Details about the beamforming circuit synthesis based on the active input impedance optimization were provided in a step-by-step approach.The FBR and SLL better than -20 dB was achieved in the experimental results, showing very good agreement with the simulated ones.The small discrepancies
The relative positioning of radiators above ground plane is established by variables (G 1 , G 2 , G 3 , and G 4 ), in accordance with the dashed black and blue symmetry lines defined in the Fig. 5. Given the ground plane asymmetry variables, a parametric study was carried out and its results are shown as follows.During this study, each parameter was varied alone, while the rest were held fixed.The standard values for the parameters are: G 1 = G 2 = 50 mm and G 3 = G 4 = 260 mm.The influence of the variables G 1 and G 2 in the antenna array radiation pattern is shown in Fig. 6.

Fig. 11 .
Fig. 11.The cross section of the array topology.

Fig. 13 .Fig. 15 .
Fig. 13.(a) Second set of quarter wave transformers and (b) connection of the terminals in T junctions.

TABLE I .
VARIATION OF THE BACK LOBE LEVEL (dB) WITH G 1 (mm).

TABLE II .
VARIATION OF THE BACK LOBE LEVEL (dB) WITH G 2 (mm).
Journal of Microwaves, Optoelectronics and Electromagnetic Applications, Vol. 16, No. 2, June 2017 DOI: http://dx.doi.org/10.1590/2179-10742017v16i2822TheexperimentalVSWR(VoltageStandingWaveRatio)from measurements with a VNA (Vector Network Analyzer) Agilent N5230A and the simulated one with HFSS are shown in Fig.17.To conclude the analysis, the experimental and simulated radiation patterns in zy-plane are compared.The measurements were carried out in the anechoic chamber located at LIT-INPE (Integration andTesting Laboratory -Brazilian Institute of Space Research).The results for the zy-plane patterns are presented in Fig.17and show that SLL and back radiation are properly controlled under -20 dB, as specified.From these figures, it is found that theoretical and experimental results are in very good agreement.