# A Defected Ground Structure without Ground Contact Problem and Application to Branch Line Couplers

Authors: Jongsik Lim; Dal Ahn; Sang-Min Han; Yongchae Jeong; Haiwen Liu
Journal: International Journal of Antennas and Propagation
 (2013)

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## Abstract

A new defected ground structure (DGS) microstrip line that is free from the ground contact problem is described together with its application example. The proposed DGS microstrip line adopts a double-layered substrate. The first layer contains the microstrip line and DGS patterns on the top and bottom planes as with the conventional DGS line. The second substrate, of which upper metal plane has already been removed, is attached to the bottom ground plane of the first layer. This structure prevents the ground plane of the first substrate with DGS patterns from making contact with the metal housing. The proposed DGS microstrip line has advantageous transmission and rejection characteristics, without the ground contact problem of DGS patterns, which has been a critical problem of previous DGS lines. A 10 dB branch line hybrid coupler is designed and measured, as an example of application of the proposed DGS microstrip line.


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## Body

## 1. Introduction

Normal microstrip lines theoretically have all pass characteristics. However, it has been extensively known that if perforating patterns, such as photonic bandgap (PBG) and defected ground structure (DGS), are inserted on the ground plane, the transmission characteristics change severely from those of normal transmission lines [1, 2].The advantages of DGS described in previous studies are the as follows.(1) It is easily performed to extract the equivalent circuit model [3], (2) it is well applied to RF/microwave circuits to reduce sizes or improve performances [4], and (3) DGS raises the realizable upper limit of the characteristic impedance of a microstrip line to around 200 Ω [5–7]. According to previous works, 150 Ω, 158 Ω, and 207 Ω microstrip lines have been realized due to DGS and used in unequal power dividers and couplers. It should be noted that the realizable limit of characteristic impedance of normal microstrip lines is around 110 Ω ~ 120 Ω [8].However, in the previous microstrip lines with DGS, hereinafter “DGS microstrip line” or “DGS line,” there has been a serious problem when they are packaged in metallic housing because the bottom ground plane of microstrip lines, where DGS patterns are realized, makes direct contact with the metallic package. Then, it is definite that the advantageous effects of DGS are removed, when the inner bottom of the housing and the lower plane of microstrip lines make contact with each other.In this work, the DGS line that adopts a double-layered substrate structure is described, in order to solve the ground contact problem of DGS lines. In the proposed structure, DGS patterns are realized on the ground plane of microstrip lines as in previous cases. However, the second substrate, of which dielectric material is exposed to the top plane, is attached to the ground plane of the first substrate, where the DGS patterns exist. Therefore, it is possible to remove the ground contact problem of DGS, while the advantages of DGS are preserved. As an example of application, a 10 dB branch line hybrid coupler is designed and measured.


## 2. DGS Lines Using Double-Layered Substrate

Figure1 shows the existing DGS microstrip line. Even though it has advantages over normal microstrip lines, it has also the critical problem that it cannot be inserted into a metal housing. If the bottom ground plane is directly faced with a metal box, the main characteristics of DGS immediately disappear because the etched DGS patterns are compensated for by the metallic bottom surface of the housing, so it becomes a new normal microstrip line. Therefore, the DGS plane should be separated from the metallic package for the advantages of DGS to be preserved.Figure 1
Microstrip line having DGS on the ground plane.Figure2 shows the DGS microstrip line with a double-layered substrate in this work. It is easily understood that the structure in Figure 2 prevents the DGS patterns from directly contacting the surface of the metallic housing. In the conventional DGS lines, DGS patterns are realized on the ground plane of the first substrate. However in this work, the second substrate is attached to the first substrate, so that the DGS cannot directly face the metal housing. Basically, the whole upper metal plane of the second substrate might be removed. However; the specific area designated as “A” in Figure 2 may be selectively erased. It is important that area “A” should completely contain the DGS patterns.Figure 2
DGS line using the double-layered substrate. Area “A” completely contains the DGS patterns.It is important that the bottom planes of the first and second substrates should be connected through lots of via-holes for the same ground potential. Although it is preferred that the thickness of the second substrate should be as thin as possible, this is not critical because the top and bottom metal planes of the second substrate are connected by a lot of via holes for the same ground potential. It is easily understood that the ground plane of the second substrate makes contact with the inner bottom of the metallic housing.


## 3. Characteristic Impedance Analysis

Figure3 shows the top view of the adopted DGS line in this work, which consists of a microstrip line and rectangular-shaped DGS on the bottom ground plane of the first substrate. The second substrate is not shown here, even though it is attached to the first substrate. “W1” and “W2” are the dimensions of the rectangular DGS, and “WM” is the width of the microstrip line on the top plane of the first substrate. The dielectric constant (εr) and thickness of the first substrate in this work are 2.2 and 31 mils, respectively. The same substrate has been selected as the second substrate, for convenience.Figure 3
Microstrip line having double-layered substrate and rectangular DGS.When the rectangular-shaped DGS is realized on the ground plane of the first substrate, the effectively added inductance highly increases, as has already been discussed in many previous works, while the added effective capacitance is relatively small. As the result, a microstrip line is obtained with higher characteristic impedance than the normal one for the same line width.Figure4 illustrates the electromagnetically simulated S-parameter of the DGS line shown in Figure 3. The S11 is around −1.9 dB, which corresponds to 150 Ω line impedance.Figure 4
Electromagnetically calculatedS-parameter of the DGS line shown in Figure 3 (W1 = 20 mm, W2 = 5 mm, WM = 0.20 mm).Figure5 and (1)–(3) are useful for calculating the characteristic impedance of the DGS line. Figure 5 shows the transmission line model of the DGS line to determine the characteristic impedance (ZDGS). When θ=π/2 at the center frequency, the magnitude of the reflection coefficient (|Γ|) is maximum, so it can be calculated from S11 by (1). Once |Γ| is known, Zin is calculated by (2). Finally, ZDGS is calculated from (3):(1)S11[dB]=20log|Γ|,(2)Zin=Z01+|Γ|1-|Γ|,(3)ZDGS=ZinZ0=Z01+|Γ|1-|Γ|.Figure 5
Equivalent circuit model to determine the characteristic impedance of the DGS line.


## 4. Application to Branch Line Hybrid Couplers

A 10 dB branch line hybrid coupler having a conventional 1-layered DGS has already been proposed in [7]. Quarter-wave microstrip lines with 150 Ω and 47.4 Ω of characteristic impedances should be provided to design 10 dB hybrid couplers. It is very difficult to realize 150 Ω of microstrip line using a reasonable aspect ratio of the conventional microstrip line. Furthermore, a serious ground problem exists in the previous 150 Ω DGS line.Figure6 shows the 2- and 3-dimensional views of the designed 10 dB hybrid coupler using the proposed DGS line structure. The rectangular DGS shown in Figure 3 is used for the 150 Ω line.Layout of the proposed 10 dB hybrid coupler using DGS and double-layered substrate: (a) 2-dimensional view and (b) 3-dimensional view.
(a)
(b)Figure7 illustrates the simulated S-parameters of the 10 dB hybrid coupler. Electromagnetic (EM) simulations have been performed on Ansoft HFSS and Agilent ADS Momentum, and these two simulators produced the similar results. The predicted S21 and S31 at the center frequency are −0.6 dB and −10.3 dB, respectively.Figure 7
Simulated performances of the 10 dB branch line hybrid coupler.Figure8 shows circuit layouts of the fabricated 10 dB hybrid coupler. DGS patterns are directly contacted with the broadly exposed area (“A”) of the second substrate. In Figure 8(b), the other metal area remains, except “A” in the upper plane of the second substrate, as has been illustrated in Figure 2. The dimensions of the rectangular-shaped DGS and exposed area “A” are “20 mm × 5 mm” and “26 mm × 10 mm,” respectively.Photographs of the fabricated substrates of 10 dB hybrid coupler (a) first substrate and (b) second substrate.
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(b)Figure9 shows the fabricated 10 dB hybrid coupler inserted in a metallic housing. In packaging the 10 dB coupler into the housing, no ground contact problem of DGS occurs, unlike the conventional DGS cases with single layer.Figure 9
Fabricated 10 dB hybrid coupler inserted into a metal housing.Figure10 shows the measured S-parameters of the fabricated 10 dB hybrid coupler. Even though some minor discrepancies are observed, the measured performances show an excellent agreement with the predicted ones in matching, inserting loss, and isolation characteristics. The measured S21 and S31 at center frequency are −0.45 dB and −11.5 dB, respectively, which well prove the performances of the 10 dB coupler.Figure 10
MeasuredS-parameters of the fabricated 10 dB branch line hybrid coupler.


## 5. Conclusions

In this work, a DGS line adopting a double-layered substrate has been described that has no ground contact problem in metallic packages. The DGS patterns have been separated from the metallic housing, by adding a second substrate to the conventional 1-layered DGS plane. As an application example, a 150 Ω DGS line has been designed and applied to a 10 dB branch line hybrid coupler. The measured performances were in excellent agreement with the predicted ones.It has been shown that the proposed DGS line with double-layered substrate solved the ground contact problem of the conventional DGS line, while the advantages of DGS are preserved. Unlike the previous works, the realized 10 dB hybrid coupler in this work has been inserted into a metallic package and successfully measured. It is expected that the proposed method can be applied to other RF/microwave circuits that have perforated ground patterns, such as DGS and PBG.



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*Source: 232317-2013-07-28.xml*