A Dual Band Patch Antenna with a Pinwheel-Shaped Slots EBG Substrate

A dual band microstrip patch antenna integrated with pinwheel-shaped electromagnetic band-gap (EBG) structures is proposed. The patch antenna consists of a pair of spiral slots on the patch and is fed by using coaxial line. Its full-wave simulation predicts dual bands from 4.43GHz to 4.56GHz and from 4.96GHz to 5.1 GHz in the C-band. The designed EBG with eight pinwheelshaped slots addresses smaller frequency drift compared with the traditional square mushroom-like EBG when applied to the patch antenna. With the help of designed EBG structure, the impedance bandwidth, radiation efficiency, and gain of the patch antenna are improved significantly. The 10 dB impedance bandwidth is extended by 3.4% and 6.5% at the lowand high-frequency bands, respectively. The radiation efficiency is increased by 5% and 17.8%, and the realized gain is enhanced by 1.87 dB and 1.56 dB at 4.57GHz and 5.06GHz, respectively.The designed EBG structure may have many applications in other types of planar antennas.


Introduction
Microstrip patch antennas and arrays have gained tremendous interests in the embedded wireless modules due to their low profile, light weight, low cost, and easy fabrication and integration.However, their applications are limited by the low gain, low efficiency, and narrow bandwidth.The radiated field from the image of the antenna's electric current tends to cancel out the radiated field from the antenna current, thus defecting the impedance match [1,2].The substrate modes in the patch substrate broaden the beamwidth of the patch antenna and reduce the radiation efficiency in the broadside direction [3].Typically, high gain can be achieved by using large patch array [4,5].However, the enhancement is not efficient due to the mutual coupling between array elements.The bandwidth of patch antennas can be improved by adding parasitic elements [6,7] and designing appropriate impedance matching networks [8][9][10].However, these structures are frequency-dependent and sensitive to fabrication tolerance.Recently, the EBG structure has been investigated to enhance the broadside gain [11], achieve wider bandwidth [12], and eliminate mutual coupling between the antenna elements [13,14].
The EBG structure is a special family of high impedance surface (HIS) structures, which prohibits the wave propagation at certain frequencies and certain incidence angles [15,16].The performance of antennas can be improved by using EBG substrates to suppress the substrate and surface modes.However, most of the EBG are applied for the singleband antennas [17][18][19].
In this paper, we propose a dual band spiral slot patch antenna with an EBG-based substrate.The proposed EBG structure has eight pinwheel-shaped slots on the metallic pads.Compared with the traditional mushroom-like EBG, the proposed EBG structure has smaller frequency drift when combined with the patch antenna.By using the proposed EBG, the bandwidth, broadside gain, and radiation efficiency can be improved dramatically.The paper is organized as follows.In Section 2, the design of the spiral slot patch antenna will be proposed.In Section 3, a high impedance EBG structure with eight pinwheel-shaped slots at its fringe of each EBG unit is designed.The patch antenna combined 2 International Journal of Antennas and Propagation with EBG structures is presented in Section 4. In the end, the conclusion is given in Section 5.

Spiral Slot Microstrip Patch Antenna Design
Microstrip patch antennas have been fully investigated in last century [1].Typically, the size of the antenna is determined by the following formula: where , , and  are the length, width, and height of antenna, respectively. is the speed of light in free space,  0 is the center resonant frequency of antenna,   is the equivalent dielectric constant of substrate, and Δ is the equivalent elongation.
Based on the aforementioned formulas, we design a spiral slot microstrip patch antenna in the C-band, as illustrated in Figure 1.The antenna is designed on a FR-4 substrate, whose thickness is  = 2 mm and the electrical parameters To investigate the effect of the feeding point's place on the return loss of the antenna, the position of the coaxial cable is tuned.In this case,  1 = 26.7 mm,  2 = 9.5 mm,  3 = 7.6 mm,  1 = 2.9 mm, and  2 = 1 mm and  2 is varied from 4.6 to 5.5 mm.The simulated  11 is shown in Figure 2. The maximum return loss (| 11 |) can be obtained at  2 = 4.6 mm.At this place, the best impedance matching at 4.5 GHz and 5.06 GHz is observed.The optimized parameters of the antenna are listed in Table 1.
Figure 3 shows the simulated  11 results with and without slots on the patch surface.It can be found that, after etching slots, two resonant modes generate at nearly 4.5 GHz and 5.1 GHz, respectively.Without the slot, the patch only radiates at nearly 5.2 GHz.This is due to the fact that the excited patch surface current paths are changed by the etched slots.However, as expected, this antenna still has the drawback of very narrow bandwidth, that is, 130 MHz ( 11 < −10 dB) at lower frequency and 140 MHz at higher frequency.

High Impedance EBG Structure Design
After the concept of EBG was presented, various types of EBG structures have been designed recently.The mushroom-like EBG structure has attracted more and more attention due to its small size and the distinct stop-band.The mushroom-like EBG structure consists of metallic pads, connecting vias, a bottom ground plane, and a dielectric substrate.The current flowing through the connecting via can be an equivalent inductor and the gap between the conductor edges of two adjacent cells introduces equivalent capacitance.
The resonant frequency of a 2D periodic LC network can be determined by the following formula: where  is the width of metallic pad,  is the gap width, ℎ is the substrate thickness,   is the dielectric constant of substrate,  0 is the permittivity of free space, and  is the magnetic permeability of substrate.Based on these formulas, a rough band-gap of EBG can be achieved.Then, we can get the accurate result by some slight adjustments.There are different ways to design a periodic structure that acts as an EBG in the desired frequency range.In this paper, we design a metallic pad unit with a size of  = 7 mm etched eight pinwheel-shaped slots in Figure 4(a) on the basis of traditional mushroom-like EBG, and  is the gap between two units.The EBG unit is at the interface of a metal-backed dielectric slab with vias connected to a ground plane.As Figure 4(a) shows, the lengths and widths of the metal pad are denoted by  1 ,  2 , and , and the radius of the conductive via is denoted by .
The technique used in the EBG simulation model is the directive transmission method [20].We first arranged the proposed EBG cells to form a 1 × 8 array simulation model.Then, the simulation model is placed in ideal TEM waveguide which is a two-port waveguide formed by a pair of perfect electric conductor (PEC) along the  direction and perfect magnetic conductor (PMC) along the  direction.The input wave is launched into free space toward the inside of the waveguide at normal incidence from each port.The 1 × 8 array simulation model is placed in the waveguide along the  direction.The detailed geometry of the simulation model is shown in the Figure 4  To optimize the EBG performance, the characteristics of insertion loss of EBG structure are studied with different parameters.A criterion of −40 dB of  21 is used to determine the band-gap of EBG structure, in which the electromagnetic wave cannot propagate due to the high surface impedance property.
Firstly, the radius of conductive via is changed.As presented in Figure 5, the band-gap of EBG structure moves to higher frequency and  21 becomes obviously smaller when the radius gets larger.This is because the conductive via acts as equivalent inductance, according to formula, where  is the resonant frequency, and  and  represent equivalent inductance and capacitance, respectively.Therefore, as  gets larger, the equivalent  gets smaller, and the resonant frequency which is the center frequency of the band-gap gets higher.
Then, the gap of the two EBG unit cells is changed from 0.3 mm to 0.9 mm, as shown in Figure 6.The wider the gap is, the higher the resonant frequency and the narrower bandwidth will be.This is attributable to the variation of the equivalent  from the gap.As the gap becomes wider, the equivalent  becomes smaller, so the band-gap will move to higher frequency.
The band-gap is also affected by the parameter of , as is shown in Figure 7,  is changed from 0.3 mm to 0.9 mm, and the bigger  is, the wider bandwidth will be.We also analyze how the various numbers of pinwheel-shaped slots affect the band-gap.Figure 8 shows the simulated results of  21 with the numbers of pinwheel-shaped slots varying from 0 to 2. From this figure, we can find that the resonant frequency becomes lower with the increasing numbers of pinwheel-shaped slots.This is due to the fact that the metal pad edges are utilized more efficiently for enlarging the fringe equivalent capacitance with the pinwheel-shaped slots increased [21].According to the above analysis, the optimized parameters of the high impedance EBG structure are listed in Table 2.

Spiral Slot Patch Antenna with EBG Design
In the process of the antenna with EBG substrate design, to suppress the propagation of surface waves by using EBG structures, it is necessary to arrange some EBG units periodically.Generally, the position of the antenna also should be considered because it will influence the radiation characteristics of the antenna.
There exists the mutual coupling between the spiral slot antenna radiator and the high impedance EBG units.As we all know, the mutual coupling will change the current  magnitude and phase and distribution of antenna feeds and by this way it disturbs the antenna impedance.So, the distance between antenna and EBG cells also should be taken into account.Based on the above rules, we proposed the spiral slot patch antenna combined with EBG substrate, whose configuration of EBG antenna is illustrated in Figure 9.All the dimensions of the antenna and EBG structure are the same as in Tables 1 and 2. Two rows of EBG cells surround the slot patch antenna.The patch antenna is located in the center of a substrate, as shown in Figure 9(a).For the purpose of impedance matching, the feed location turns into 11.5 mm where it is measured from the patch center.The metallic pads of EBG and the spiral patch antenna are located on the same plane, that is, the XOY plane shown in Figure 9(b).An identical patch antenna with EBG substrate has also been etched on a finite substrate with the same dimension as before.A picture of the realized prototype is shown in Figure 9(c).As we can see, the metal pads of EBG and the patch antenna are placed on the same layer.So, the height of the final EBG antenna is still 2 mm.To test the performance of the proposed EBG antenna, a coaxial cable with 50 Ω SMA connector is soldered on the back side of the FR-4 substrate.
The separation between the edge of the spiral microstrip patch antenna and edge of EBG cells, which is closest to patch antenna, is denoted by .The effect of the parameters of  on the return loss of EBG antenna is analyzed and the result is shown in Figure 10.With the value of  increasing, the impedance bandwidth of EBG antenna becomes more and more narrow.However, the frequency drift of EBG antenna becomes smaller and smaller.Considering the volume and the advanced performance of EBG antenna, the final distance is chosen as 1.9 mm. Figure 11 shows the simulated and measured  11 of a single patch antenna and the proposed EBG antenna.On one hand, it can be observed that the resonant frequency of the proposed EBG antenna shifts to higher frequency slightly.Furthermore, maximum peak of the return loss of proposed EBG antenna has been degraded with respect to that of the single patch antenna.On the other hand, the single patch antenna has an input impedance bandwidth of 2.9%, covering 4.43-4.56GHz ( 11 < −10dB), and 2.8%, covering 4.96-5.1 GHz.By contrast, frequency range of the proposed EBG antenna is 4.46-4.75GHz, that is, impedance bandwidth of 6.3%, and 5-5.49GHz, that is, impedance bandwidth of 9.3%.The bandwidth has been increased by 3.4% at lower frequency and 6.5% at higher frequency.For the proposed EBG antenna, the movement of resonant frequency and extension of bandwidth are all due to the coupling between the antenna elements and EBG structure.Agreement between International Journal of Antennas and Propagation  the simulation and measurement can be found from the results.
Because of the existence of the frequency shift, we should choose appropriate resonant points to compare with the radiation patterns of single antenna and proposed EBG antenna.Here, the intersections between the curves of measured proposed EBG antenna and measured single patch antenna are chosen as a criterion to calculate the radiation pattern of the antenna, that is, 4.57 GHz and 5.06 GHz.
The measured radiation patterns of two antennas at 4.57 GHz and 5.06 GHz are shown in Figures 12 and 13, respectively.It can be seen from the comparison results that  the front radiation of the proposed EBG antenna is enhanced and the back radiation is also reduced compared to the single patch antenna.At 4.57 GHz, the gain of the single patch antenna is 4.15 dB while that of the proposed EBG antenna reaches 6.02 dB.The radiation efficiency of the single patch antenna is 55%, while that of the proposed EBG antenna is 60%.The realized gain of single patch antenna increases by 1.87 dB after being integrated with EBG structure.At  5.06 GHz, for the single patch antenna, realized gain is only 3.58 dB.However, for the proposed EBG antenna, realized gain increases to 5.14 dB.The radiation efficiencies of the single patch antenna and proposed EBG antenna are 45% and 62.8% separately.The gain and radiation efficiency of EBG antenna increase because the antenna surface wave is effectively suppressed with the help of EBG.To present the advantage of the proposed EBG antenna further, a comparison with the patch antenna with a traditional square mushroom-like EBG substrate is analyzed.Figure 14 shows the comparison results of the parameter of  11 .As we can see, the frequency drift of our proposed EBG antenna is smaller than traditional mushroom-like EBG antenna.Compared with the traditional mushroom-like EBG antenna, the proposed EBG antenna has a wider bandwidth at higher frequency while a narrower bandwidth at lower frequency.However, the impedance matching of traditional mushroom-like EBG antenna is better than our proposed EBG antenna.

Conclusion
A spiral slot microstrip patch antenna in the C-band is presented in this paper.It has a size of 60 × 60 × 2 mm 3 .This antenna resonates at around 4.5 GHz and 5.1 GHz, covering 4.43-4.56GHz and 4.96-5.1 GHz.Then, two rows of high impedance EBG cells with a band-gap of 3.6-5.5GHz covering the operating frequency band of antenna are designed on the substrate to surround the patch antenna.Experimental results show that the new proposed EBG antenna has wider bandwidth, which is extended to 160 MHz at lower frequency with 60% radiation efficiency and 350 MHz at higher frequency with 62.8% radiation efficiency, and reaches a higher peak gain, which is increased by 1.87 dB at 4.57 GHz and 1.56 dB at 5.06 GHz, respectively.By comparing with the traditional mushroom-like EBG antenna, the frequency drift of our proposed EBG antenna is smaller.All the data show the enhanced performance of the proposed high impedance EBG antenna.

Figure 1 :
Figure 1: Geometry of the spiral slot patch antenna.

Figure 3 :
Figure 3: Simulated  11 comparison before and after etching slots on the patch surface.

Figure 4 :
Figure 4: Geometry for the high impedance EBG structure.

Figure 5 :
Figure 5: Simulated  21 as a function of .

Figure 4 (
Figure 4(c) shows the geometry of 8 × 8 EBG units array.As we can see, the 8 × 8 EBG cells are fabricated on a FR-4 substrate (  = 4.4, tan = 0.02) with 2 mm thickness and a finite ground plane of 60 × 60 mm 2 .To optimize the EBG performance, the characteristics of insertion loss of EBG structure are studied with different parameters.A criterion of −40 dB of  21 is used to determine the band-gap of EBG structure, in which the electromagnetic wave cannot propagate due to the high surface impedance property.Firstly, the radius of conductive via is changed.As presented in Figure5, the band-gap of EBG structure moves to higher frequency and  21 becomes obviously smaller when the radius gets larger.This is because the conductive via acts as equivalent inductance, according to formula, where  is the resonant frequency, and  and  represent equivalent inductance and capacitance, respectively.Therefore, as  gets larger, the equivalent  gets smaller, and the resonant frequency which is the center frequency of the band-gap gets higher.Then, the gap of the two EBG unit cells is changed from 0.3 mm to 0.9 mm, as shown in Figure6.The wider the gap is, the higher the resonant frequency and the narrower bandwidth will be.This is attributable to the variation of the equivalent  from the gap.As the gap becomes wider, the equivalent  becomes smaller, so the band-gap will move to higher frequency.The band-gap is also affected by the parameter of , as is shown in Figure7,  is changed from 0.3 mm to 0.9 mm, and the bigger  is, the wider bandwidth will be.We also analyze how the various numbers of pinwheel-shaped slots affect the band-gap.Figure8shows the simulated results of  21 with the numbers of pinwheel-shaped slots varying from 0 to 2. From this figure, we can find that the resonant frequency becomes lower with the increasing numbers of pinwheel-shaped slots.This is due to the fact that the metal pad edges are utilized more efficiently for enlarging the

Figure 9 :
Figure 9: Configuration of a spiral slot patch antenna with EBG substrate.

Figure 10 :Frequency
Figure 10: Simulated  11 as a function of .

Figure 11 :
Figure 11: Simulated and measured  11 of single antenna and proposed EBG antenna.

Figure 12 :
Figure 12: Radiation pattern of single patch antenna and proposed EBG antenna at 4.57 GHz.

Figure 13 :
Figure 13: Radiation pattern of single patch antenna and proposed EBG antenna at 5.06 GHz.

Figure 14 :
Figure 14: The  11 parameters of the proposed EBG antenna and the traditional mushroom-like EBG antenna.

Table 1 :
Parameters of spiral slot patch antenna (unit: mm).

Table 2 :
Parameters of the high impedance EBG unit structure (unit: mm).