International Journal of Antennas and Propagation

Volume 2012 (2012), Article ID 721565, 7 pages

http://dx.doi.org/10.1155/2012/721565

## Harmonic Suppressed Slot Antennas Using Rectangular/Circular Defected Ground Structures

Wave Propagation and Microwave Measurement Research Laboratory, Department of Electrical Engineering, Amirkabir University of Technology, Tehran 15914, Iran

Received 19 October 2011; Accepted 20 May 2012

Academic Editor: Dalia N. Elshiekh

Copyright © 2012 Mohammad Saeid Ghaffarian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

Two wide rectangle-shaped microstrip-fed 2.6-GHz slot antennas using defected ground structures (DGSs) with a low design complexity are proposed to achieve wideband harmonic suppression. To accomplish this, two rectangular DGSs (RDGSs) in the first antenna and two circular DGSs (CDGSs) in the second one with various dimensions are etched into the ground plane, which could have a wideband-stop characteristic. Simulated and measured reflection coefficients indicate that the two proposed structures effectively suppress the second and third harmonics up to 23 dB between 3.5 and 10.5 GHz with a maximum ripple of 2.4 dB. In addition, the radiation patterns and peak gains of the antennas can be suppressed at least 17 dB and 7.1 dBi, respectively, at the third harmonic frequency of 7.86 GHz.

#### 1. Introduction

Microstrip antennas can be conventionally integrated with active RF devices, especially amplifiers. In these cases, to maximize power added efficiency (PAE) of the power amplifiers (PAs), several methods are carried out on the PA itself. Since these approaches caused RF front-end systems to have large size, complex structures, and difficulty to design, the active integrated antennas (AIAs) were proposed. AIAs are very widespread, but they suffer from undesired harmonic radiation which must be suppressed. To this purpose, in the conventional harmonic tuning circuits, additional components such as filters were employed which increase the size and cost of RF front-ends and yield an additional insertion loss [1, 2].

In the last decades, several methods have been researched in practice to decrease insertion loss and spurious radiation in slot and patch antennas with microstrip and CPW-fed method [3–8]. In [2], Itoh et al. have introduced a photonic bandgap structure (PBG) based on the periodic structure to tune the second harmonic in an active slot antenna. After that, there has been an increasing interest in applying PBG and electromagnetic bandgap (EBG) structures as well as defected ground structure (DGS). Afterwards, new structures using L-C resonators as spurline conductors or other structures which act like filters that positioned on a radiator or feeding line have been proposed [4–7]. Also, harmonic suppression is done by defecting rectangular slot on tubing stub in CPW slot antenna [8]. It should be noted that the designs of mentioned periodic structures are not simple because of having several design parameters, difficulties of the modeling, and complex pattern and therefore, their fabricating is difficult.

In this paper, two harmonic suppressed slot antennas (HSAs) with rectangular and circular DGSs (i.e., RDGS & CDGS) are parametrically investigated. The antennas having low design complexity such as less-design parameters and simpler DGS patterns can be suitable options for broadband unwanted harmonic suppression. In addition, in order to get a better understanding of the suppression performance of the antennas, the current distribution and circuit model are also discussed.

#### 2. Antenna Design and Configuration

Figure 1 shows the geometry of the two slot harmonic suppression antennas in which the first one (Figure 1(a)) consists of two unequal RDGS with parameters of WS1, LS1, dR1 and WS2, LS2, and dR2, and the other one (Figure 1(b)) has two unequal CDGS with parameters of R1, dC1 and R2, dC2. The antennas are fabricated on the substrate RO4003C with 0.5-oz copper, whole dimension of 40 × 60 mm^{2}, 0.508 mm height, and dielectric constant of 3.38. The width of the microstrip-fed line is = 1.1 mm for a 50 input impedance. The optimal physical parameters of both proposed antennas are summarized in a table and illustrated in Figure 1. To eliminate unwanted radiation at harmonic frequencies, two DGS-type slots (RDGS and CDGS) are etched into the ground plane exactly below the microstrip line and near the main radiation slot with a dimension of mm^{2}. The proposed unequal slots can be represented as sequential shunt L-C resonators, which have totally wideband-stop operation over the third harmonic frequency.

In the next section, it will be shown from parametric studies that the positions and dimensions of the DGS slots are important factors to suitably suppress the third harmonic frequency and tune the matching at the main resonance and the notched band.

Some of the popular DGSs are shown in Figure 2. These structures have their own distinguish properties which can be used for harmonic suppression. The reflection coefficients of rectangular, circular, triangular, spiral, dumbbell, and H shape DGS is shown in Figure 3. To give a better understanding of the performance of DGSs and comparison between them, the position and etched square area of DGSs are identical. The etched square of DGS is critical factor for determining the depth of suppression. Therefore, this factor is parametrically investigated in the next section. As seen from Figure 3, a little frequency shifting at the fundamental frequency and depth of suppression at the third harmonic frequency are important issues which should be noted. Hence, every pair of DGSs can be suitable for harmonic suppression in slot antenna if they are placed at the appropriate position. Because of decreasing of the context, the general properties of the mentioned DGSs such as the act of suppression and parametrically studies are examined for the rectangular and circular DGS’s slot antenna, and their results can be ascribe to all of them.

In order to give a physical insight, the current distribution on the ground plane is investigated. Figure 4(a) shows the current in the absence of DGS filter, and Figures 4(b) and 4(c) demonstrate the disturbance in current distribution which caused by DGS combinations. The electromagnetic field is mostly confined under the microstrip line. The return current on the ground plane is the negative image of the current distribution on the microstrip line. The return path of the current is fully disturbed using the DGS, and this current is confined to the perimeter of the perturbation and returns to the underneath of the microstrip line once the perturbation is over. By considering the maximum concentration of the return surface current on the ground plane, the length of the slot which contributes to inductance of the DGS is determined. The width of the slots is represented by the equivalent capacitances and the inductances and capacitances, are derived from the physical dimensions using quasistatic expressions for microstrip crosses, lines, and gaps which are presented in the open literatures [9]. The same approach is ascribed to CDGS slot antenna. On the basis of this observation, an equivalent circuit model is developed. Equivalent circuit model of RDGS slot antenna can be modeled based on the transmission line model. As shown in Figure 5, the proposed circuit model consists of two parts. The first part is the lossy model of two DGS slots that composed of two parallel RLC for each slot resonator and parallel capacitor that is due to relatively large fringing field at the step discontinuity plane on metallic ground surface [10]. The second part is the model of slot antenna that made of two short-circuited slot lines parallel (with the length of = 18 mm, which is equal to the half-length of rectangular slot) with conductance , representing the radiated power from the slot and parallel RC which is the admittance at the input of the open-ended microstrip stub which are obtained by equations that are mentioned in [11]. The optimized ADS-simulated results of the parameters of equivalent model are also shown in Figure 5. Figure 6 shows the reflection coefficients of the circuit model of RDGS antenna in comparison with the HFSS result. Since the parallel capacitance might cause changing in the impedance of the DGS section, it should be considered for more precise modeling procedure. Circuit functionalities as filtering unwanted high-order harmonics can easily be accomplished by means of placing required DGS patterns without increasing circuit complexity. Each DGS provides its own distinctive characteristics depending on its geometries. It will be shown from parametric studies that the dimensions of the DGS slots are important factors to suitably suppress the third harmonic frequency.

#### 3. Simulated and Measured Results and Discussions

The simulation is performed using high frequency structure simulator (HFSS). By using the DGS section, both the effective permittivity and effective inductance of a microstrip line are increased [5]. The etched square area in the ground plane is critical factor for determining the depth of suppression. First, the parameters of the RDGS slot antenna are investigated. The change in the length in comparison with the change in the slots width is more effective for controlling the resonate frequency of RDGS slots. Figure 7(a) shows that when the length of DGS slots is altered, the depth of suppression is notably modified. The optimal ratio value of / is 1.8. The same investigation is applied to CDGS slot antenna by changing the radius of slots in which the relevant parametric results are indicated in Figure 7(b). It is clearly seen that by decreasing the ratio of /, the quality of the suppression is extremely degraded especially between 5 and 9 GHz. It is interesting to point out that our studies show that the area of small DGS slots has important role in the value of input impedance at the third harmonic frequency. When the area of the slot is reduced, the input impedance is increased at the third harmonic frequency and makes that we have not reactively termination at this harmonic.

In order to validate the designs, the optimized structures of proposed HSAs were manufactured and measured carefully. Figures 8 and 9 show the simulated and measured reflection coefficients and the measured input impedances of the proposed rectangular and circular DGS-type slot antennas, respectively. To compare the quality of harmonic suppression, a conventional wide slot antenna without DGS is fabricated and measured. Figures 8(a) and 9(a) indicate that measured and simulated reflection coefficients are matched in both cases of HSA and conventional types. These antennas resonate at 2.62 GHz and suppress the third harmonic frequency at 7.86 GHz. The measured bandwidths of the proposed RDGS and CDGS antennas at the center frequency of 2.62 GHz are about 250 MHz (9.5%) and 400 MHz (15.2%), respectively. The difference between simulation and measured bandwidths at the fundamental frequency in Figure 9(a) is due to power leakage from the used SMA connector and to the loss of energy to the surface waves.

As seen from Figures 8(a) and 9(a), the reflection coefficient between 4 and 10 GHz, especially near 7.8 GHz is about zero with a maximum ripple of 2.4 dB. Thus, the third harmonic is well suppressed up to 23 dB in RDGS and 22 dB in CDGS. In addition, it is observed from Figure 8(b) that the first mode () of the RDGS antenna is matched while the second () and third () modes are suitably suppressed. Similarly, as shown in Figure 9(b), the first mode () of the CDGS antenna is also matched while the second () and third () modes are suppressed, acceptably.

According to the results, the proposed slot antennas having a simple structure and low design complexity are suitable choices for harmonic degradation. The photographs of the two realized RDGS and CDGS wide slot antennas are illustrated in Figure 10. As an example, the constructed prototype of RDGS slot antenna was measured in an anechoic chamber for studying and comparison of the radiation characteristics.

Figure 11 shows the measured and simulated radiation patterns of the both RDGS and conventional slot antennas at the fundamental and third harmonic frequencies. The patterns are omnidirectional in the H-plane and bidirectional in the E-plane as in a center-fed slot antenna. As seen in Figures 11(a) and 11(c), for the normalized peak power of the fundamental frequency, the simulated and measured E-plane radiation patterns of the proposed RDGS slot antenna at the third harmonic of 7.86 GHz in the broadside direction are less than −25 and −27 dB, respectively. Similarly, Figures 11(b) and 11(d) also show that the simulated and measured H-plane patterns of the RDGS slot antenna at the third harmonic frequency are less than −17 and −20 dB, respectively. These results show that the radiation patterns at the harmonic frequency are acceptably suppressed. Moreover, the measured maximum gains of the proposed RDGS slot antenna at 2.62 and 7.86 GHz are 2.8 and 0.8 dBi, respectively, while the same values for the conventional antenna are 3 and 7.9 dBi, respectively. It should be noticed that the 3D radiation patterns at the fundamental frequency in conventional and harmonic suppression antennas are nearly similar to each other with a stable shape which means two proposed filtering slots have not been destructed by the performance of the main radiating slot at 2.62 GHz.

#### 4. Conclusion

In this paper, two microstrip slot antennas using rectangular and circular defected ground structures (DGSs) with harmonic suppression characteristic over harmonic frequency band have been proposed and investigated. The reflection coefficients were less than −2.4 dB at the second and third harmonic frequencies compared to those of the conventional slot antenna. The measured and simulated radiation patterns in the HSAs indicate at least 17 dB suppression at the third harmonic frequency. According to the measured results, these antennas with the simple harmonic suppression structures are quite effective for harmonic suppression. Therefore, the proposed antennas can be suitable for active integrated antennas.

#### Acknowledgment

The authors thank the Iran’s Telecommunication Educational Research Center (ITERC) for its financial support.

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