# Wideband Cylindrical Dielectric Resonator Antenna Operating in HEM11δ Mode with Improved Gain: A Study of Superstrate and Reflector Plane

Authors: Sounik Kiran Kumar Dash; Taimoor Khan; Binod Kumar Kanaujia; N. Nasimuddin
Journal: International Journal of Antennas and Propagation
 (2017)

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## Abstract

A wideband and high gain dielectric resonator antenna (DRA) operating in hybrid HEM11δ mode is proposed. The investigated geometry employs one cylindrical dielectric resonator partially covered with a transparent dielectric superstrate and backed up by a single side metal coated dielectric reflector plane. The reflector is dedicated for gain enhancement while the superstrate is employed for merging of two resonant bands resulting in a single wide band. The dielectric resonator is excited by simple microstrip feed slot coupling technique and operates over X-band, ranging from 7.12 GHz to 8.29 GHz, that is, of 15.18% impedance matching bandwidth with 11.34 dBi peak gain. The different development stages like standalone DRA, DRA with superstrate, DRA with reflector, and DRA with both superstrate and reflector plane with respect to bandwidth and gain performances are analyzed properly. To the best of authors’ knowledge, this is the first time this type of combination of both superstrate and reflector plane is demonstrated in DRA engineering. An antenna prototype was fabricated and characterized and a very good agreement is achieved between the simulated and measured results.


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## Body

## 1. Introduction

In recent years, the dielectric resonator antenna (DRA) has got broad consideration in the field of microwave and millimeter wave engineering. The cutting edge advancements are broadly covered in some books and review articles [1–4]. Though the dielectric resonators have been used as the high Q-factor element in oscillator and microwave filter since 1939 [5], its radiation characteristics were studied in 1983 [6]. That day onward, DRA has received tremendous attention from the researchers and industries because of its remarkable advantages like wideband, high efficiency, low loss, and 3-dimensional design flexibility compared to those traditional antennas. In course of time, several developments have been done on DRA in terms of performance improvement as well as geometrical optimization.The research on wide bandwidth and gain improvement of DRA is being considered frequently in last few decades. However, obtaining high gain with wide bandwidth is quite challenging because of their mathematical relation. It can be noted that sometimes DRA becomes application restraint because of average gain ~6 dBi [7]. Hence, several efforts have been done for gain improvement with wide bandwidth. For example, in 1997, Hwang et al. [8] and, in 2016, Pan and Zheng [9] have used the stacking of different materials to enhance the gain up to 6.2 dBi and 9 dBi, respectively. Some researchers have also actualized electromagnetic band gaps (EBG) on the ground plane, which reduces the surface wave propagation and improves the gain up to 8 dBi [10]. Nasimuddin and Esselle [11, 12] have experimented peak gain of >8 dBi by placing a surface mounted horn around a rectangular and modified rectangular DRA, respectively. According to Guha et al. in [13], the exploration of higher order mode (HEM12δ) also gives high gain of 8.5 dBi. Further, the use of superstrate with DRA has been deeply analyzed by research groups led by Coulibaly et al. [7], Dutta et al. [14], and Dong et al. [15]. Briefly, the use of periodic frequency selective surfaces (FSS) on superstrate has enhanced the gain up to 11 dBi [7], while the use of loaded patches has been used to enhance the gain up to 12.2 dBi and 7.54 dBi in [14] and [15], respectively, without affecting the mode of operation. Ali et al. [16–18] and Nikkhah et al. [19] have proposed the concept of reflector to improve the directivity and gain by means of reducing the back radiation which are quite valuable for researchers. Though these techniques [8–12] improves the gain, some issues cannot be ignored, like disturbance of Q-factor during stacking of different dielectric layers [8, 9], costlier and high precession fabrication/tailoring of complex EBG structures [10], and comparatively large size and weight [11, 12]. However, in comparison to these approaches, the use of superstrate and reflector seems to be simple as it affects neither resonator shape nor feed network.In this proposed structure, the authors have demonstrated a DRA with both superstrate and reflector plane. A theoretical analysis is done to study the back radiation reduction mechanism in context to reflector plane. The authors also show the effect of superstrate and reflector separately with standalone DRA. The optimized DRA with both superstrate and reflector can be considered as a better alternative to some existing models, because of the following advantages: (i) wideband of 15.18% and gain enhancement up to 11.34 dBi, (ii) use of dielectric reflector plane as well as combination of superstrate and reflector plane which is first time realized in DRA literature, (iv) overall compact geometry, (v) ease of fabrication, (vi) good radiation pattern with high co-pol to cross-pol ratio, and (vii) comparatively good matching over entire band. This paper is organized as follows: the geometrical construction and parameters of the proposed antenna are discussed in Section2, followed by design flow, simulation results, and discussion in Section 3. The characterization and conclusion are shown in Sections 4 and 5, respectively.


## 2. Proposed Antenna Structure

The proposed cylindrical DRA is shown in Figure1. It is comprised of one cylindrical DR (hd=rd=0.135λ0) and permittivity of εrd=10 with loss tangent (tanδ) = 0.003. For the ground plane, a double sided perfect electric conductor (PEC) coated FR4 of εrsub=4.4 with loss tangent (tanδ) = 0.02 sheet lsub×wsub×hsub=1.08λ0×1.08λ0×0.043λ0 is taken. Photolithography etching process is applied to design feed lf×wf=0.648λ0×0.054λ0 and slot ls×ws=0.135λ0×0.135λ0 in appropriate place of the ground plane substrate as shown in Figure 1. Another FR4 sheet of εrsub=4.4  and  tan⁡δ=0.02 (both side etched) lsup×wsup×hsup=1.08λ0×0.54λ0×0.043λ0) is kept above the DRA with an air-gap (a1=0.216λ0) and known as superstrate. Then, the third FR4 sheet (lref×wref×href=1.35λ0×1.35λ0×0.043λ0) of εrref=4.4 and tan⁡δ=0.02 which is single side etched is kept below the ground plane substrate (conducting side fetches towards the -Z direction) at an air-gap (a2=0.108λ0). This third one is used as reflector plane in order to reduce the back-front radiation and improving gain. The proposed structure is modelled with finite element solver Ansys HFSS v13.0 [20]. The design flow with different developing stages of this optimized antenna geometry is further illustrated in Section 3.Figure 1
It illustrates the schematic diagram of the proposed dielectric resonator antenna.
(a)
3D view
(b)
Top view of middle portion


## 3. Design Flow and Result Discussion

The different development stages of the proposed antenna are depicted in Figure2. This design starts by placing a cylindrical dielectric resonator (DR) of hd=rd=0.135λ0 and εrd=10 on a slot of ls=ws=0.135λ0, with a 50 Ω feed line network. Figure 3 shows the impedance matching curve, where resistance line crosses the 50 Ω and reactance line crosses 0 Ω near 7.9 GHz which indicates proper matching of the 50 Ω feed line. The mode of operation and resonant frequency of the dielectric resonator (DR) can be calculated using (1) [1], which shows resonant frequency ~7.9 GHz and also signifies excitation of HEM11δ hybrid mode. This mode is later cross verified with the simulated E-field distribution inside the DRA as shown in Figure 4:(1)frHEM11δ=c2πrd×6.324εrd+2×0.27+0.36rd2hd+0.02rd2hd2.Figure 2
It illustrates the cross-sectional views of four different development stages of the proposed dielectric resonator antenna (antenna design dimensions:hd=rd=0.135λ0, lsub=wsub=1.08λ0, lsup=1.08λ0, wsup=0.54λ0, lref=wref=1.35λ0, hsub=hsup=href=0.043λ0, lf=0.648λ0, wf=0.054λ0, ls=ws=0.135λ0, a1=0.216λ0, and a2=0.108λ0). All dimensions are in millimeter.
(a)
Antenna #1
(b)
Antenna #2
(c)
Antenna #3
(d)
Antenna #4Figure 3
It illustrates the input impedance of the DR-antenna.Figure 4
Electric field distribution in the DR (cross-sectional view) indicating HEM11δ mode.
(a)
Simulated DRA
(b)
As per image theoryNext, the different development stages of the antenna design are discussed in respective subsections.


### 3.1. Design and Optimization of Antenna #1

It is a well-known fact that the performance of cylindrical DRA depends upon its controlling parameters, that is, radius (rd) and height (hd) [1–3], which can be cross checked from (1). Hence, in this context, with the ground plane and other arrangements being the same, the radius (rd) and height (hd) are taken as the tuning parameters in order to find the optimum performance (Figure 5). The resonant frequency was found to be shifting significantly with the variation of rd and hd, which interprets (1). Hence, after multiple observations, these parameters were optimized as rd=hd= 0.135λ0 resulting in a dual band (6.9 GHz–7.28 GHz) and (7.72 GHz–8.26 GHz) with 5.38 dBi and 3.11 dBi gain, respectively. Here, this standalone DRA is considered as Antenna #1. As per the performance characteristics, this antenna can be suitable for (i) dual band operation and (ii) medium gain operation. The subsequent performance improvement of this Antenna #1 is discussed in next subsection.Figure 5
It illustratesS11 versus frequency.
(a)
DR radius (rd)
(b)
DR height (hd)


### 3.2. Design and Optimization of Antenna  #2

Generally superstrate improves the gain and radiation characteristics without affecting the standard of operation of DRA [14]. So in view of this, the authors started analyzing the performance of the antenna by introducing a transparent dielectric superstrate. Initially, a FR-4 sheet of lsup×wsup×hsup=1.08λ0×1.08λ0×0.043λ0 was placed above the ground plane at a random height of a1 = 0.189λ0, that is, 7 mm. Then, to study its characteristics, the dimensions (lsup and wsup) are varied between 10 mm ≤ lsup=wsup ≤ 20 mm, that is, 0.27λ0 ≤ lsup=wsup ≤ 1.08λ0 with a step size of 10 mm (i.e., 0.27λ0). The respective gain variations for different combinations of lsup and wsup are plotted in Figure 6. It can be observed that the antenna possesses more gain while the superstrate larger side (lsup) is oriented in the direction of antenna polarization. Finally a peak gain of 6.39 dBi with 17.12% impedance bandwidth is obtained for lsup = 1.08λ0 and wsup = 0.54λ0. It can be noted that, at particular air-gap height (a1), the variation of superstrate dimension (i.e., lsup and wsup) has very less impact on S11 response; hence, these results are not included here for brevity.Figure 6
Gain total variation of Antenna #2 for different combinations oflsupand wsup (at a1 = 0.189λ0).Next to this, the effect of air-gap (a1) between the ground plane and superstarte at optimized superstarte length (lsup) = 1.08λ0 and width (wsup) = 0.54λ0, on bandwidth and gain, is observed in Figure 7. After observation, a1 is fixed at 0.216λ0, that is, 8 mm for 16.84% bandwidth with 6.6 dBi peak gain. The E-field and H-field distribution on the superstrate depicted in Figure 8 clearly indicate that the field is strong at the center and decreases towards the edge. It can be concluded that the field trapped in between the cylindrical DR and the dielectric superstrate causes a wide impedance band by shifting the first resonance above (Figure 7). This superstrate based DRA is considered as Antenna #2 and its outcomes can be summarized as (i) improvement of 22.67% peak gain, that is, up to 6.6 dBi, (ii) formation of single wide band by merging two resonant bands, (iii) being operated in the same HEM11δ mode, and (iv) introduction of light weight, simple, and compact dielectric superstrate in comparison to [14]. Though this antenna deals with quite improved performance compared to Antenna #1, further performance enhancement study is presented in next subsection.Figure 7
It illustrates the effect of air-gap (a1).Figure 8
Field distribution in superstrate of Antenna #2 (top view).


### 3.3. Design and Optimization of Antenna #3

It is a known fact that every antenna deals with some back radiation, which affects gain as well as directivity. Avoidance of these back radiations can act as a thrust for gain/directivity improvement, and this is possible by redirecting/checking the back directed electromagnetic (EM) waves. Moreover, as per the literature [21, 22], when an EM wave travels from one permittivity medium to another permittivity medium, reflection takes place. With this concept, the authors have placed a nontransparent one side metal coated FR4 sheet of size 1.35λ0 × 1.35λ0 × 0.043λ0 below the ground plane as a reflector. The reflection mechanism is sketched in Figure 9 considering five different regions as follows: region-P/R/T is filled with air (εp=εr=εt=1) with loss factor tan δp=tanδr=tanδt=0 and region-Q/S is dielectric sheet (εq=εs=4.4) with loss factor tanδp=tanδs=0.02. When input is given through microstrip feed line, some energy couples into the cylindrical DR through the slot and some other energies (say Er) are released into region-R, then move in -Z direction, and face multiple reflections at Interface-RS and Interface-ST.Figure 9
Plane wave incident and reflection in context to reflector.The reflection and transmission of EM energy at each interface can be justified by the standard theorem [21, 22]. When EM wave moves from region-R to region-S (Figure 9), the ratio of reflected to incident wave can be expressed as [21, 22] (2)ErrefEr=εr-jtanδr/εs-jtanδs-1εr-jtanδr/εs-jtanδs+1.From (2) it is clear that there is a chance of reflection if εr≠εs. It can be noted that once εs~∞, then the total wave will be reflected and this is known as “short-circuit situation” [23]. However, in the investigated case, reflection as well as transmission must occur because of two different finite permittivities. This transmitting energy again is incident on Interface-ST (Figure 9), where the reflection mechanism is alike previous case.(3)EsrefEs=εs-jtanδs/εt-jtanδt-1εs-jtanδs/εt-jtanδt+1.As per (3), when εs≠εt, some of the little amount reflects to region-S and some amount propagates into region-T. It can be noted that if εs→∞, then Interface-RS takes over the situation as per (2) and at the same time Interface-ST becomes “dielectric open” [23]. Finally, the transmitted energy to region-T can be calculated by taking the ratio of transmitted wave to the incident wave [23] as(4)EsEr=2εr-jtanδr/εs-jtanδs+1,(5)EtEs=2εs-jtanδs/εt-jtanδt+1.Moreover, the validation of the reflector efficiency can be done by calculating the ratio of power in region-T and region-R. The power in each region can be calculated by using Poynting’s theorem. For a plane wave, Poynting’s vector can be stated as [21, 22] (6)Pr=Er2ηr,Pt=Et2ηt,where(7)ηr=μ0ε0εr-jtanδr,ηt=μ0ε0εt-jtanδt.Furthermore the desiredPt:Pr can be written as(8)PtPr=4T1T22·εt-jtanδtεr-jtanδr,where (9)T1=εr-jtanδrεs-jtanδs+1,T2=εs-jtanδsεt-jtanδt+1.Case 1 (without loss factor).
For a lossless dielectric reflector, the loss factortanδ tends to zero. Hence substituting appropriate values of εr,εs, and εt (as per the investigated structure) in (2) and (3), the incident to transmit ratio shows that ~40% and ~35% amount of energy are reflected at Interface-RS and Interface-ST, respectively. Subsequently, by substituting the values of εr,εs, and εt (as per the investigated structure) in (6) and (8), the transmitted power to reflected power ratio becomes ~0.77. This indicates that the proposed reflector is efficient in terms of checking the reasonable amount of back directed EM waves.Case 2 (with loss factor).
The loss factor of the dielectric reflector (tanδs=0.02) and air medium (tanδr=tanδt=0) is included in respective equations. Finally the outcome of (8) comes out to be 0.7645, that is, almost the same as Case 1. Means, the lossy reflector of tanδ=0.02, has less impact on performance of the designed geometry. Moreover, it can be concluded that the proposed dielectric reflector is kind of partial reflector as the power ratio is ~0.77. This indicates that the proposed reflector is efficient in terms of checking the reasonable amount of back directed EM waves.After theoretical analysis of reflector plane, certain tuning of air-gap (a2) was done to resonate the DRA with reasonable bandwidth and gain (Figure 10). It can be noted here that, by placing reflector plane, dual band is generated. The air-gap (a2) was fixed at 0.108λ0 for dual band operation over 6.95–7.43 GHz and 7.85–8.22 GHz with a peak gain of 10 dBi and 10.02 dBi, respectively, as shown in Figure 10. The total gain radiation pattern is depicted in Figure 11. The presence of reflector increases the antenna gain in broadside (between θ = 3300 to 300) by redirecting the back directional wave (between θ = 1500 to 3000). This reflector based antenna is considered as Antenna #3 and its outcomes are as follows: (i) 86.24% (4.64 dBi) improvement of gain, that is, up to 10.02 dBi with dual band characteristics, (ii) introduction of dielectric reflector plane (light weight and small size) which is quite first time in DRA literature, and (iii) operating in HEM11δ hybrid mode.Figure 10
It illustrates the effect of air-gap (a2) on bandwidth and gain.Figure 11
Gain total radiation pattern of Antenna #1 (without reflector) and Antenna #3 (reflector).
(a)
ϕ = 00
(b)
ϕ = 900


### 3.4. Design and Analysis of Antenna #4

In the above three subsections, the authors have examined the performance improvement of standalone cylindrical DRA (CDRA), that is, Antenna #1, CDRA with superstrate, that is, Antenna #2, and CDRA with reflector, that is, Antenna #3, separately with individual advancements. It can be concluded that cavity resonator concept [21] was helpful in improvement of bandwidth and gain up to 16.84% and 6.6 dBi, respectively, in Antenna #2, while for Antenna #3, the reflector plane concept [16–18], helped in significant improvement of gain up to 10.02 dBi. Therefore, the prediction of improved gain and wide bandwidth by the combination of superstrate and reflector, that is, Antenna #2 and Antenna #3, cannot be ignored. Hence, this hybrid combination is considered as Antenna #4 (Figures 1 and 2(d)) and results in wideband of 14.34% (7.06 GHz–8.15 GHz) with 10.66 dBi peak gain. It can be noted that the use of superstrate combines two resonant bands of Antenna #3 and forms a single wideband, with little gain improvement. Moreover, the qualitative performance comparison of all antennas is done in Figure 12 and Table 1, from which Antenna #4 is found to be the best geometry. This clearly shows improvement of gain without much deteriorating the bandwidth, which is rarely available in the referenced works. Antenna #4 performance is concluded as follows: (i) ability of combining two resonant bands into a single wideband (Figure 12), (ii) improvement of gain around 1 dBi, (iii) excitation of HEM11δ hybrid mode, and (iv) introduction of a novel concept, that is, combination of superstrate and reflector.Table 1
Simulated performance comparison of developed antenna geometries.
Results
Antenna #1
Antenna #2
Antenna #3
Antenna #4
Bandwidth (GHz)
(6.9–7.28), (7.72–8.26)
(6.96–8.24)
(6.95–7.43), (7.85–8.22)
(7.06–8.15)
Gain (dBi)
5.38, 3.11
6.6
10, 10.02
10.66
Techniques
Stand alone
Superstrate
Reflector
Sup.+ ref.
Scope of applications
Dual band,low gain
Wideband,medium gain
Dual band,high gain
Single band,high gainFigure 12
Performance comparison of all antennas.
(a)
S
11
(b)
Gain total


## 3.1. Design and Optimization of Antenna #1

It is a well-known fact that the performance of cylindrical DRA depends upon its controlling parameters, that is, radius (rd) and height (hd) [1–3], which can be cross checked from (1). Hence, in this context, with the ground plane and other arrangements being the same, the radius (rd) and height (hd) are taken as the tuning parameters in order to find the optimum performance (Figure 5). The resonant frequency was found to be shifting significantly with the variation of rd and hd, which interprets (1). Hence, after multiple observations, these parameters were optimized as rd=hd= 0.135λ0 resulting in a dual band (6.9 GHz–7.28 GHz) and (7.72 GHz–8.26 GHz) with 5.38 dBi and 3.11 dBi gain, respectively. Here, this standalone DRA is considered as Antenna #1. As per the performance characteristics, this antenna can be suitable for (i) dual band operation and (ii) medium gain operation. The subsequent performance improvement of this Antenna #1 is discussed in next subsection.Figure 5
It illustratesS11 versus frequency.
(a)
DR radius (rd)
(b)
DR height (hd)


## 3.2. Design and Optimization of Antenna  #2

Generally superstrate improves the gain and radiation characteristics without affecting the standard of operation of DRA [14]. So in view of this, the authors started analyzing the performance of the antenna by introducing a transparent dielectric superstrate. Initially, a FR-4 sheet of lsup×wsup×hsup=1.08λ0×1.08λ0×0.043λ0 was placed above the ground plane at a random height of a1 = 0.189λ0, that is, 7 mm. Then, to study its characteristics, the dimensions (lsup and wsup) are varied between 10 mm ≤ lsup=wsup ≤ 20 mm, that is, 0.27λ0 ≤ lsup=wsup ≤ 1.08λ0 with a step size of 10 mm (i.e., 0.27λ0). The respective gain variations for different combinations of lsup and wsup are plotted in Figure 6. It can be observed that the antenna possesses more gain while the superstrate larger side (lsup) is oriented in the direction of antenna polarization. Finally a peak gain of 6.39 dBi with 17.12% impedance bandwidth is obtained for lsup = 1.08λ0 and wsup = 0.54λ0. It can be noted that, at particular air-gap height (a1), the variation of superstrate dimension (i.e., lsup and wsup) has very less impact on S11 response; hence, these results are not included here for brevity.Figure 6
Gain total variation of Antenna #2 for different combinations oflsupand wsup (at a1 = 0.189λ0).Next to this, the effect of air-gap (a1) between the ground plane and superstarte at optimized superstarte length (lsup) = 1.08λ0 and width (wsup) = 0.54λ0, on bandwidth and gain, is observed in Figure 7. After observation, a1 is fixed at 0.216λ0, that is, 8 mm for 16.84% bandwidth with 6.6 dBi peak gain. The E-field and H-field distribution on the superstrate depicted in Figure 8 clearly indicate that the field is strong at the center and decreases towards the edge. It can be concluded that the field trapped in between the cylindrical DR and the dielectric superstrate causes a wide impedance band by shifting the first resonance above (Figure 7). This superstrate based DRA is considered as Antenna #2 and its outcomes can be summarized as (i) improvement of 22.67% peak gain, that is, up to 6.6 dBi, (ii) formation of single wide band by merging two resonant bands, (iii) being operated in the same HEM11δ mode, and (iv) introduction of light weight, simple, and compact dielectric superstrate in comparison to [14]. Though this antenna deals with quite improved performance compared to Antenna #1, further performance enhancement study is presented in next subsection.Figure 7
It illustrates the effect of air-gap (a1).Figure 8
Field distribution in superstrate of Antenna #2 (top view).


## 3.3. Design and Optimization of Antenna #3

It is a known fact that every antenna deals with some back radiation, which affects gain as well as directivity. Avoidance of these back radiations can act as a thrust for gain/directivity improvement, and this is possible by redirecting/checking the back directed electromagnetic (EM) waves. Moreover, as per the literature [21, 22], when an EM wave travels from one permittivity medium to another permittivity medium, reflection takes place. With this concept, the authors have placed a nontransparent one side metal coated FR4 sheet of size 1.35λ0 × 1.35λ0 × 0.043λ0 below the ground plane as a reflector. The reflection mechanism is sketched in Figure 9 considering five different regions as follows: region-P/R/T is filled with air (εp=εr=εt=1) with loss factor tan δp=tanδr=tanδt=0 and region-Q/S is dielectric sheet (εq=εs=4.4) with loss factor tanδp=tanδs=0.02. When input is given through microstrip feed line, some energy couples into the cylindrical DR through the slot and some other energies (say Er) are released into region-R, then move in -Z direction, and face multiple reflections at Interface-RS and Interface-ST.Figure 9
Plane wave incident and reflection in context to reflector.The reflection and transmission of EM energy at each interface can be justified by the standard theorem [21, 22]. When EM wave moves from region-R to region-S (Figure 9), the ratio of reflected to incident wave can be expressed as [21, 22] (2)ErrefEr=εr-jtanδr/εs-jtanδs-1εr-jtanδr/εs-jtanδs+1.From (2) it is clear that there is a chance of reflection if εr≠εs. It can be noted that once εs~∞, then the total wave will be reflected and this is known as “short-circuit situation” [23]. However, in the investigated case, reflection as well as transmission must occur because of two different finite permittivities. This transmitting energy again is incident on Interface-ST (Figure 9), where the reflection mechanism is alike previous case.(3)EsrefEs=εs-jtanδs/εt-jtanδt-1εs-jtanδs/εt-jtanδt+1.As per (3), when εs≠εt, some of the little amount reflects to region-S and some amount propagates into region-T. It can be noted that if εs→∞, then Interface-RS takes over the situation as per (2) and at the same time Interface-ST becomes “dielectric open” [23]. Finally, the transmitted energy to region-T can be calculated by taking the ratio of transmitted wave to the incident wave [23] as(4)EsEr=2εr-jtanδr/εs-jtanδs+1,(5)EtEs=2εs-jtanδs/εt-jtanδt+1.Moreover, the validation of the reflector efficiency can be done by calculating the ratio of power in region-T and region-R. The power in each region can be calculated by using Poynting’s theorem. For a plane wave, Poynting’s vector can be stated as [21, 22] (6)Pr=Er2ηr,Pt=Et2ηt,where(7)ηr=μ0ε0εr-jtanδr,ηt=μ0ε0εt-jtanδt.Furthermore the desiredPt:Pr can be written as(8)PtPr=4T1T22·εt-jtanδtεr-jtanδr,where (9)T1=εr-jtanδrεs-jtanδs+1,T2=εs-jtanδsεt-jtanδt+1.Case 1 (without loss factor).
For a lossless dielectric reflector, the loss factortanδ tends to zero. Hence substituting appropriate values of εr,εs, and εt (as per the investigated structure) in (2) and (3), the incident to transmit ratio shows that ~40% and ~35% amount of energy are reflected at Interface-RS and Interface-ST, respectively. Subsequently, by substituting the values of εr,εs, and εt (as per the investigated structure) in (6) and (8), the transmitted power to reflected power ratio becomes ~0.77. This indicates that the proposed reflector is efficient in terms of checking the reasonable amount of back directed EM waves.Case 2 (with loss factor).
The loss factor of the dielectric reflector (tanδs=0.02) and air medium (tanδr=tanδt=0) is included in respective equations. Finally the outcome of (8) comes out to be 0.7645, that is, almost the same as Case 1. Means, the lossy reflector of tanδ=0.02, has less impact on performance of the designed geometry. Moreover, it can be concluded that the proposed dielectric reflector is kind of partial reflector as the power ratio is ~0.77. This indicates that the proposed reflector is efficient in terms of checking the reasonable amount of back directed EM waves.After theoretical analysis of reflector plane, certain tuning of air-gap (a2) was done to resonate the DRA with reasonable bandwidth and gain (Figure 10). It can be noted here that, by placing reflector plane, dual band is generated. The air-gap (a2) was fixed at 0.108λ0 for dual band operation over 6.95–7.43 GHz and 7.85–8.22 GHz with a peak gain of 10 dBi and 10.02 dBi, respectively, as shown in Figure 10. The total gain radiation pattern is depicted in Figure 11. The presence of reflector increases the antenna gain in broadside (between θ = 3300 to 300) by redirecting the back directional wave (between θ = 1500 to 3000). This reflector based antenna is considered as Antenna #3 and its outcomes are as follows: (i) 86.24% (4.64 dBi) improvement of gain, that is, up to 10.02 dBi with dual band characteristics, (ii) introduction of dielectric reflector plane (light weight and small size) which is quite first time in DRA literature, and (iii) operating in HEM11δ hybrid mode.Figure 10
It illustrates the effect of air-gap (a2) on bandwidth and gain.Figure 11
Gain total radiation pattern of Antenna #1 (without reflector) and Antenna #3 (reflector).
(a)
ϕ = 00
(b)
ϕ = 900


## 3.4. Design and Analysis of Antenna #4

In the above three subsections, the authors have examined the performance improvement of standalone cylindrical DRA (CDRA), that is, Antenna #1, CDRA with superstrate, that is, Antenna #2, and CDRA with reflector, that is, Antenna #3, separately with individual advancements. It can be concluded that cavity resonator concept [21] was helpful in improvement of bandwidth and gain up to 16.84% and 6.6 dBi, respectively, in Antenna #2, while for Antenna #3, the reflector plane concept [16–18], helped in significant improvement of gain up to 10.02 dBi. Therefore, the prediction of improved gain and wide bandwidth by the combination of superstrate and reflector, that is, Antenna #2 and Antenna #3, cannot be ignored. Hence, this hybrid combination is considered as Antenna #4 (Figures 1 and 2(d)) and results in wideband of 14.34% (7.06 GHz–8.15 GHz) with 10.66 dBi peak gain. It can be noted that the use of superstrate combines two resonant bands of Antenna #3 and forms a single wideband, with little gain improvement. Moreover, the qualitative performance comparison of all antennas is done in Figure 12 and Table 1, from which Antenna #4 is found to be the best geometry. This clearly shows improvement of gain without much deteriorating the bandwidth, which is rarely available in the referenced works. Antenna #4 performance is concluded as follows: (i) ability of combining two resonant bands into a single wideband (Figure 12), (ii) improvement of gain around 1 dBi, (iii) excitation of HEM11δ hybrid mode, and (iv) introduction of a novel concept, that is, combination of superstrate and reflector.Table 1
Simulated performance comparison of developed antenna geometries.
Results
Antenna #1
Antenna #2
Antenna #3
Antenna #4
Bandwidth (GHz)
(6.9–7.28), (7.72–8.26)
(6.96–8.24)
(6.95–7.43), (7.85–8.22)
(7.06–8.15)
Gain (dBi)
5.38, 3.11
6.6
10, 10.02
10.66
Techniques
Stand alone
Superstrate
Reflector
Sup.+ ref.
Scope of applications
Dual band,low gain
Wideband,medium gain
Dual band,high gain
Single band,high gainFigure 12
Performance comparison of all antennas.
(a)
S
11
(b)
Gain total


## 4. Prototype Characterization and Validation

A prototype of the optimized antenna (Antenna #4) was fabricated and characterized for validation purpose (Figure13). Three FR4 sheets (εr = 4.4 and tanδ=0.02) of respective dimensions are taken and photolithography etching process was applied to create feed, slot, and removal of copper from required portions. The realized cylindrical DR (rd = hd = 0.135λ0) was shaped out from Eccostock HiK dielectric rod of εr = 10 and tanδ = 0.003 and placed above the slot by using an adhesive glue. Some nonconducting spacers having εr~1 have been used to place the superstrate and reflector at proper positions.Figure 13
It illustrates the fabricated prototype of Antenna #4.
(a)
Top view of middle portion
(b)
Side view
(c)
Measurement setupVector network analyzer was used for the physical characterization of different parameters. Figure14(a) shows an excellent matching between the simulated and measuredS11. The measured total gain (Figure 14(b)) seems to be little improved (11.34 dBi) than the simulated value (10.66 dBi). The far-field radiation patterns are measured in an echo free automatic Anechoic Chamber by the use of Analog signal generator and spectrum analyzer (Figure 13(c)). Spherical scanning surface technique, which generally gives much accurate results is adopted for measuring the radiation pattern at both the resonating frequencies (7.4 GHz and 7.9 GHz) (Figure 15). During measurement, with the reference horn antenna alignment and position being fixed, the test antenna is kept one meter away from the reference antenna. It is rotated along either of planes (ϕ = 00 and ϕ = 900) to record the measure receive power in dBm. Later gain value (in dBi) has been extracted by using Friis transmission formula. The calculated values have been converted into normalized value and then compared with the simulated ones in Figure 15. These variations can be attributed to the positive interference of some practical unavoidable objects, say soldering, foam spacers, and so on. The simulated radiation efficiency is incorporated in Figure 14(b), which shows ~90% efficiency over the entire operating range. Table 2 shows the comparison of all simulated and measured results. From Table 2 and Figure 15, it is clear that this proposed Antenna #4 possesses high co-pol to cross-pol ratio in both principal planes, except little disturbance nearE-plane 2600 while operating at around 7.9 GHz. Though this conjecture is well verified during demonstration, this geometry needs to be fabricated by professional manufactures for real on field applications, like naval mobile satellite, land mobile satellite and military requirements for NATO fixed systems in some countries, and so on. After measurement of the prototype, detailed comparison of some previous noted works related to gain improvement is compared with this newly proposed one (Antenna #4) in Table 3. The outcome of this comparison stands with the following conclusion: (i) comparatively compact antenna structure, (ii) probably a new technique which is not yet introduced so far, and (iii) wide impedance matching over 15.18% bandwidth by maintaining a peak gain of ~11.34 dBi.Table 2
Comparison of measured and simulated results of Antenna #4.
Parameters
Simulated
Measured
Bandwidth
(7.06–8.15) GHz
(7.12–8.29) GHz
Gain
10.66 dBi
11.34 dBi
Co : Cross
At 7.4 GHz
Max.
48.93 : 1 (ϕ = 00)48.93 : 1 (ϕ = 900)
54.96 : 1 (ϕ = 00)46.35 : 1 (ϕ = 900)
Min.
11.27 : 1 (ϕ = 00)29.33 : 1 (ϕ = 900)
9.4 : 1 (ϕ = 00)20.12 : 1 (ϕ = 900)
At 7.9 GHz
Max.
40.77 : 1 (ϕ = 00)40.77 : 1 (ϕ = 900)
54.63 : 1 (ϕ = 00)50.87 : 1 (ϕ = 900)
Min.
3.47 : 1 (ϕ = 00)3.32 : 1 (ϕ = 900)
1 : 1.99 (ϕ = 00)1 : 3.98 (ϕ = 900)Table 3
Comparison of proposed work with available literature.
Ref.
Antenna col. (mm3) (Avg.)
Technique
Operating atGHz
BW
Peak gain (dBi)
[7]
358.1
FSS superstrate
61.34
13.56%
11
[8]
19384.75
Stacking
1.8
2.7%
6.2
[9]
31423.7
Stacking
4.35/5.4
40%
~9
[10]
111000
EBG
2.28
6%
~8
[11]
32788.8
Surface mounted horn
6.25/7.75
25%
8.5
[12]
~32788.8
Surface mounted horn
6.25/7.75
21.3%
8
[13]
7759.73
Higher mode
6/7.4
—
8.5
[14]
1780000
Loaded metal sheet
3.7
23%
12.2
[15]
153000
Loaded patches
2
25.6%
7.54
[16]
≫32874
Parabolic conductor
5
1.8%
NA
[17]
30874.47
Flat conductor
5
1.8%
NA
[18]
30874.47
Box conductor
5
1.8%
NA
[19]
∗446000
Conductor strip
2.2
Multiple
#
Present
30000
Superstrate + reflector
7.4/7.9
15.18%
11.34
∗Volume with respect to single element, #10.2 dBi → 4 element (E-plane array), 12.5 dBi → 4 element (H-plane array), and 17.6 dBi → 16 element (planar arrays).Figure 14
Comparison of simulated and measured results of Antenna #4.
(a)
S
11
(b)
Gain total atθ = 00 and ϕ = 00Figure 15
Measured and simulated gain radiation patterns.
(a)
ϕ = 00 at 7.4 GHz
(b)
ϕ = 900 at 7.4 GHz
(c)
ϕ = 00 at 7.9 GHz
(d)
ϕ = 900 at 7.9 GHz


## 5. Conclusion

This study has investigated a cylindrical DRA for improvement of performance in terms of bandwidth and gain by maintaining high co-pol to cross-pol ratio. Four sets of antennas (as shown in Table1) have been studied and compared. Among those, the concept of dielectric reflector as well as the combination of superstrate and reflector for cylindrical single DRA has been realized for the first time. Finally a wide bandwidth of >15% (7.12–8.29) GHz with nearly 11.34 dBi peak gain and broadside radiation pattern with a high co-pol to cross-pol ratio of 54.96 : 1 has been achieved by the combination of superstrate and reflector with DRA. As per measured results, this compact antenna can be a suitable candidate for different real field X-band applications and in view of this, suitable scope should be created for the effective utilization of the same. This proposed concept can be utilized for any antennas including all types of DRAs for abrupt gain enhancement. However, further improvement of performance with geometrical optimization could be a favorable concentration as well as a valuable contribution to antenna engineering society. Proposed antenna is useful for wideband applications.



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*Source: 2414619-2017-07-20.xml*