# A Novel Electrically Small Meandered Line Antenna with a Trident-Shaped Feeding Strip for Wireless Applications

Authors: Xueyao Ren; Xing Chen; Kama Huang
Journal: International Journal of Antennas and Propagation
 (2012)

---

## Abstract

A novel electrically small antenna (ESA) which based on the meandered line structure is designed, fabricated, and measured. The proposed antenna whose total size is13.50mm×13.51mm×0.8mm is designed to cater for the ISM (industrial, scientific, and medical) band of 2.45 GHz with a S11<−10dB bandwidth of 3.9%. By introducing a trident-shaped feeding strip and inserting 4 pairs of triangular slot stubs at the central feed line, the resonant frequency of the antenna drops to 2.45 GHz from 2.50 GHz and the impedance matching is improved significantly. The dimension parameters of this antenna are optimized to achieve wide impedance bandwidth, reasonably high gain, as well as omnidirectional radiation pattern.


---

## Body

## 1. Introduction

Recently, wireless communication has become more and more widespread. As compact wireless communication systems become a greater focus in our lives, the demand for small-size and high-performance antennas escalates. Therefore, antenna miniaturization has received significant attention in the latest years.For an antenna which is categorized to electrically small, it should fulfill the definition:ka<0.5, where k is defined as the free space wave number and a the radius of the sphere inclosing the maximum dimensions of the antenna [1, 2]. The size reduction of antennas will result in the performance degradation such as narrow bandwidth, high voltage standing wave ratio (VSWR), low gain, among others. Accordingly, the key of designing an electrically small antenna is always an art of compromise among size, bandwidth, and gain.Numerous designs of electrically small antenna have been presented in the recent literatures, such as the disk-loaded monopole antenna [3], inductively coupled feed antenna [4], arbitrarily shaped wire antennas designed by genetic algorithms (GA) [5, 6], folded monopoles and meandered dipoles [7, 8], resistively or reactively lumped components loading antennas [9, 10], metamaterial-based electrically small antennas [11, 12],  superconducting electrically small antennas [13, 14], among others. It is noted that most of their structures are complicated, which increases manufacturing difficulty and cost. Some of them are not planar structures that are suitable for connected with monolithic microwave integrated circuit (MMIC). Some of them must work together with external inductors or capacitors, which cause extraohmic losses that could be critical for some applications. Some of them are born with narrow bandwidth which is less than 1% because the permeability or permittivity of the metamaterial could be zero only in a particular frequency. Others might meet the strict definition of ESA but only under rigorous conditions, for example, superconductivity.The coplanar waveguide- (CPW-) fed antennas have many attractive features, such as low radiation loss, less dissipation, easy fabrication, and integration with MMIC without any need of via holes as used in microstrip technology.In this paper, a novel electrically small antenna with a trident-shaped feeding strip is proposed. The trident-shaped feeding strip is introduced to reduce the electrical size of the antenna. At the same time, 4 pairs of triangular slot stubs are used to improve the performance in terms of bandwidth. Section2 describes the configuration of the proposed antenna. Section 3 includes numerical results simulated by the software Ansoft High Frequency Structure Simulator (HFSS) [15] which is based on 3D full-wave finite-element method (FEM). To examine the antenna performance, experimental results are also involved and discussed.


## 2. Antenna Configuration

The geometry configuration of the proposed CPW-fed antenna is shown in Figure1. The antenna is based on nongrounded coplanar waveguide which has a single-layer metallic structure (thickness t=0.018mm) and etched on a side of an FR-4 substrate. The selected substrate material is Rogers RO4003C [16] with a dielectric constant εr=3.38 and thickness h=0.8mm. The overall dimension of the proposed antenna is 13.50mm×13.51mm. A 50Ω CPW central transmission line of strip with width W=2mm and gap g=0.15mm is used for feeding the antenna.Figure 1
Geometry configuration of proposed antenna.This antenna is based on two meandered parallel resonant arms whose lengths areH1 and widths are L1 to further reduce the antenna dimensions because this meandering leads to an extended current path for a fixed length, so that the antenna seems electrically larger [17]. The latitudinal distance between two meandered arms is L5. There is a strip whose length is L3 and width is H3, connecting the central transmission line to the two meandered arms. One-quarter of elliptical ground is introduced to improve the impedance bandwidth. Lengths of the semimajor axis and the semiminor axis of this elliptical ground are L2 and H2 respectively. A tapered parallel arm with length H1, width L4 is used to realize impedance transformation between ground and meandered parallel resonant arm. By inserting a pair of longitude direction’s symmetrical slots whose lengths are H6 and widths are L6, a trident-shaped feeding strip is achieved. The impedance matching is improved significantly by using this trident-shaped feeding strip working with 4 pairs of triangular slot stubs whose lengths are L7 and widths are H7. The longitudinal distance between each pair of triangular slot stubs is H5. Finally, the other dimensions of the proposed antenna are optimized as follow: a=13.50 mm, b=13.51 mm, L1=0.25 mm, H1=10.70 mm, L2=5.10 mm, H2=1.45 mm, L3=5.50 mm, H3=0.36 mm, L4=0.50 mm, H4=0.50 mm,  L5=0.60 mm, H5=1.65 mm, L6=0.25 mm, H6=1.27 mm, L7=0.75 mm, H7=0.15 mm.


## 3. Antenna Design

The whole antenna mounting structure of the simulation model, including its driving connector and the corresponding surface current vector distribution are shown in Figure2. Three metal balls were used to simulate the solder joints.The simulation model of the proposed antenna and the surface current distribution.
(a)
(b)A key idea of the proposed novel feeding structure can be most conveniently explained by consideration of an equivalent current path on the metallic conductor which can be seen in Figure3. It is seen from Figure 3(a) that most of the current focuses on both sides of the central feeding line because the radiation is along the slot of CPW structure. The current distributions between the middle and both sides are nonuniform.  It is also seen from Figure 3(b) that, the middle current distribution becomes more uniform due to a trident-shaped feeding structure which is used to shunt the current that focus on both sides of the central feeding line, and increase current that flows to two meandered arms from middle. As a result, the equivalent path of current distribution becomes slightly longer for a fixed dimension. So the resonant frequency of the antenna from 2.50 GHz drops to 2.45 GHz.(a) A common CPW feeding line (b) A CPW feeding line with a trident-shaped feeding strip and triangular slot stubs.
(a)
(b)However, this structure changes the antenna to unbalance. By adding 4 pairs of triangular slot stubs symmetrically on each side of the central CPW feeding line, the impedance matching condition is improved observably, which is shown in Figure4.Figure 4
Input reflection coefficient comparison of the antenna with or without a trident-shaped feeding strip and 4 pairs of triangular slot stubs.Figure4 illustrates the computed input reflection coefficient of the common CPW feeding antenna (dash line) in comparison with that of the antenna having the novel feeding structure (solid line). It observed that S11<-10dB bandwidth of the antenna with proposed feeding structure amounts to 65 MHz from 2.415 GHz to 2.480 GHz with the center frequency at 2.45 GHz, while the corresponding bandwidth of the common CPW antenna is 45 MHz from 2.470 GHz to 2.515 GHz with the center frequency at 2.50 GHz. Thus, the S11<-10dB bandwidth of novel antenna is wider by 44% than the common one. At the same time, the electrical size of the antenna  ka drops to 0.49 from 0.50. As proven above, the bandwidth enhancement and impedance matching condition have been achieved exclusively owing to the trident-shaped feeding strip and the triangular slot stubs, the changes of input impedance with or without the trident-shaped feeding strip and the triangular slot stubs are shown in Figure 5. The changes of input reflection coefficient with the length L7 and width H7 of the slot-stubs can be seen in Figure 6. One can observe that the length L7 has little effect on input reflection coefficient, while the width  H7 has a major influence on it.Input impedance comparison of the antenna with or without a trident-shaped feeding strip and 4 pairs of triangular slot stubs.
(a)
(b)The input reflection coefficient changes with the lengthL7 and width H7.
(a)
(b)


## 4. Results and Discussion

To validate the theoretical design, a prototype of the antenna has been fabricated which shown in Figure7. The input reflection coefficient of the fabricated electrically small antenna has been measured by an Agilent N5230A Network Analyzer.The prototype of the proposed antenna (a) top view (b) side view.
(a)
(b)Measured input reflection coefficient and the computed one by simulation are shown in Figure8.Figure 8
The simulated and measured input reflection coefficient.The designed resonant frequency of the proposed antenna is 2.45 GHz, the measured one, shown in Figure8, is observed at 2.46 GHz (0.4% error). It also can be seen that the antenna has a good match at 2.46 GHz with an input reflection coefficient of −30.80 dB. The measured S11<-10dB bandwidth is 95 MHz from 2.410 GHz to 2.505 GHz, corresponding to 3.9% of the center frequency versus the simulated one 2.7% from 2.415 GHz to 2.480 GHz. These errors may be caused by the error of dielectric constant and manufacturing tolerances.The dimensions of the proposed antenna are 13.50 mm × 13.51 mm × 0.8 mm, namely,0.11λ0 × 0.11λ0 × 0.0065λ0, λ0 is the wavelength in free space at the center frequency. For this antenna, the electrical size of the antenna ka=0.49, so it can be categorized to electrically small antenna strictly.As we known, when the electrical size of an antenna is small to a certain degree (ka<0.5), it is difficult to make it smaller and maintain the same performance as well.Radiation patterns of the proposed antenna are measured in a standard anechoic chamber. Simulated and measured radiation patterns in H-plane and E-plane in the working bandwidth are shown in Figure9. They are also roughly the same, and show a good omnidirectional radiation pattern is realized. The simulated gain as a function of frequency from 2.4 GHz to 2.5 GHz is shown in Figure 10.The radiation pattern of the proposed antenna in the working bandwidth.
(a)
(b)
(c)
(d)
(e)
(f)Figure 10
The simulated gain as a function of frequency from 2.4 GHz to 2.5 GHz.


## 5. Conclusion

A novel electrically small antenna with a refined configuration of the trident-shaped feeding strip and the triangular slot stubs has been proposed in this paper. It has a simple structure based on a CPW feeding line and allows the use of low-cost and accurate planar print techniques. Precise prototyping and accurate measurement guarantee the veracity of the results. It provides aS11<-10dB bandwidth about 3.9% (from 2.410 GHz to 2.505 GHz), and an input reflection coefficient of −30.80 dB at the working frequency 2.46 GHz. The computed gain is up to 2.2 dBi at 2.45 GHz. Those properties make this antenna to be a probable candidate for wireless communication applications.



---

*Source: 757429-2012-07-15.xml*