# A Cylindrical Dielectric Resonator Antenna-Coupled Sensor Configuration for 94 GHz Detection

Authors: M. Kamran Saleem; M. Abdel-Rahman; Majeed Alkanhal; Abdelrazik Sebak
Journal: International Journal of Antennas and Propagation
 (2014)

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## Abstract

A novel antenna-coupled sensor configuration for millimeter wave detection is presented. The antenna is based on two cylindrical dielectric resonators (CDRs) excited by rectangular slots placed below the CDRs. TheHEM11Δ mode resonating at 94 GHz is generated within the CDRs and a 3 GHz impedance bandwidth is achieved at center frequency of 94 GHz. The simulated antenna gain is 7.8 dB, with a radiation efficiency of about 40%.


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## Body

## 1. Introduction

Antennas coupled with sensors such as microbolometers [1–5], metal-insulator metal (MIM) diodes [6, 7] have been investigated for imaging and spectroscopy applications in the millimeter wave (MMW) and terahertz (THz) spectral regions. In antenna-coupled microbolometers, the antenna resonant current flows in the microbolometer located at the feed of the antenna causing joule heating in the microbolometer element. This joule heating translates into a resistance change of the microbolometer. The resistance change is sensed by biasing the microbolometer element with a constant current and monitoring the voltage change resulting from the incident radiation. Whilst in antenna-coupled MIM and Schottky diodes the detection mechanism is such that antenna resonant currents are being rectified by the diode located at the feed of the antenna leading to a resultant dc current component.Dielectric resonator antennas (DRAs) operating in the MMW band possess many merits that make them preferable in antenna-coupled sensor configurations. DRAs, operating in the MMW band, have shown high radiation efficiencies as compared to printed metallic antennas. This is mainly due to the absence of conductor and surface wave losses which are greatly dominant in printed metallic antennas. In addition, DRAs have different shapes with many possible excitation modes and feeding schemes which imply great design flexibilities [8, 9]. Moreover, recent developments in low dielectric permittivity polymer-based DRAs operating in theK-band [10] have shown good antenna efficiencies and fabrication simplicity. All of the previously mentioned DRAs qualities in addition to the ongoing developments, at Prince Sultan Advanced Technologies Research Institute (PSATRI), for photolithographically patternable polymer-ceramic composites with dimensions commensurate with MMWW-band DRAs, have led to the development of the DRA-coupled sensor configuration presented in this work.In this paper we present a novel antenna-coupled sensor configuration for 94 GHz detection. We present a coplanar waveguide (CPW) fed slot-coupled cylindrical DRA (CDRA). The antenna is based on two cylindrical dielectric resonators (CDRs) excited by means of rectangular slots placed below the CDRs; the HEM11Δ mode resonating at 94 GHz is generated within the CDRs. CPWs are used to feed the antenna resonant currents to the sensor which is placed at the center of the CPW. Direct current (dc) cuts are introduced in the top ground plane to allow for sensor bias and detected signal readout. Simulation results show that the antenna gain can reach 7.8 dB, with a beam width of approximately 60° inXZ plane (θ = 0°, φ = 0°) and approximately 20°YZ plane (θ = 0°, φ = 90°). The antenna radiation efficiency can reach 40%.


## 2. Antenna Design and Configuration

The 3D model of the proposed antenna structure is illustrated in Figure1. The antenna consists of a quartz substrate sandwiched between two thin aluminum layers. The 50 Ω lumped port functions as a feeding scheme and is placed between the two CPW conductors, such feeding scheme along with the dc cuts split the top ground plane into two equal and electrically isolated parts which allow for dc biasing the sensor. The two CDRs are placed over the top aluminum layer and excited by means of rectangular slots coupled with CPW lines on the top aluminum layer.Figure 1
3D model of proposed CDRA structure.The resonance frequency (f0) for CDR can be calculated as follows [11]:
(1)k0a=2πf0ac=6.324εr+2×[0.27+0.36(a2H)+0.02(a2H)2],
where k0 is the free space wavenumber, c is the speed of light in vacuum, ɛr is dielectric constant of DR, and a and H are the radius and height of CDR, respectively.ForW band applications, the dimensions of cylindrical dielectric resonator having εr = 4 are found to be Dr (radius) = 1.41 mm and Dh (height) = 350 μm, resulting in HEM11Δ mode at 94 GHz. The side view (YZ-plane) of antenna structure is shown in Figure 2. Initially, the center to center distance between the CDRs is kept at C=λ0 where λ0 is free space wavelength at 94 GHz. The quartz substrate has thickness of thsub = 300 μm with ɛr = 3.78. The thickness of aluminum layers is chosen to be thalu = 0.22 μm.Figure 2
Side view of proposed antenna geometry (YZ plane), with thsub = 0.22 μm, thcdr = 300 μm, Dh = 0.35 mm, Dr = 1.41 mm, and C=3.19 mm.Various design parameters are illustrated in the top view (XY-plane) as shown in Figure 3. Initially, the quartz substrate having length L1=14 mm and width W1=10 mm is fully covered with aluminum at the top and bottom. Two narrow slots are placed at the center of CDR which are made to excite HEM11Δ mode within the CDRs. Initially, the center of rectangular excitation slot is aligned with the center of CDR; that is, Soff⁡=0 mm. The excitation slot is coupled to the CPW feed network. A 50 Ω lumped port is placed at the middle of CPW.Figure 3
Top view of proposed antenna geometry (XY plane), with L1=14 mm, W1=10 mm, L2=11.68 mm, W2=5.82 mm, Soff⁡ = 0 mm, CL = 1 mm, and Cth =13 μm.The red dotted area in Figure3 is zoomed and shown in Figure 4 for a more detailed view of excitation slot, CPW feeding lines, and bolometer resistor placement. The CPW line is divided into two equal parts by introducing a gap of Pw=0.01 mm for bolometer resistor placement. For simulation purpose a lumped port having impedance of 50 Ω is placed between the two CPW lines. For the CPW in a 50 Ω system placed over a quartz substrate, the conductor width and air gap width are taken to be W = 0.19 mm and G = 0.02 mm, respectively. Initially, the length of rectangular excitation slot for CDRs is found by Ls=0.4λ0/εe, where ɛe is effective dielectric constant; that is, εe=εsub2+εcdr2  εsub and εcdr are dielectric constants of the substrate and CDR, respectively, whereas the width of excitation slot is chosen by Ws=0.2Ls. Initially, excitation slot is placed exactly at the center of CDR. The stub extension Lstub is chosen by Lstub=λg/4, where λg is the guided wavelength is substrate at 94 GHz.Figure 4
Top view of proposed antenna geometry (XY plane), with W = 0.19 mm, G = 20 μm, Ls = 0.55 mm, Ws = 0.11 mm, Lstub = 0.5 mm, Coff⁡ = 0.15 mm, and Pw = 0.01 mm.


## 3. Simulation and Optimization

The CDRA structure presented in Section2 is simulated and optimized using Ansys HFSS. To improve the coupling between the excitation slot and CDR an offset distance between the center of CDR and center of excitation slot is introduced. The optimized offset position of the center of excitation slot is found to be Soff⁡=0.06 mm from the center of CDR. Initially, the top aluminum layer was also fully covered with aluminum; during the optimization process we found that the main to side lobe ratio in antenna radiation pattern is highly influenced by the dimensions of length (L2) and width (W2) of top aluminum ground plane; by optimizing the dimensions of top aluminum ground plane a difference of approximately 10 dB between the main and first side lobe is achieved. The optimized dimensions for the top aluminum layer are found to be length L1 = 11.68 mm and width W1 = 5.82 mm. To make this antenna suitable for antenna-coupled bolometer applications, various schemes for the DC cuts, that is, straight horizontal, straight vertical, diagonal, and staircase, were studied to split the top aluminum layer into two electrical isolated parts as shown in Figure 5. The staircase DC cuts are found to be the most effective and suitable for proposed antenna structure. The optimized dimensions related to DC cuts are thickness Cth = 0.13 mm, length of CL = 1 mm, and offset of Coff⁡ = 0.16 mm from the top of excitation slot.DC cut for top aluminum layer. (a) Straight horizontal, (b) straight vertical, (c) diagonal, and (d) staircase.
(a)
Straight horizontal
(b)
Straight vertical
(c)
Diagonal
(d)
StaircaseA comparison between the initial design values and final optimized values is shown in Table1.Table 1
Comparison of initial and final optimized design parameter.
Antenna parameter
Initial value (mm)
Optimized value  (mm)
C
3.19
3.86
L
2
14
11.68
W
2
10
5.82
S
off
⁡
0
0.06
L
s
0.55
0.75
W
s
0.11
0.103
L
stub
0.5
0.417
G
0.02
0.02
W
0.19
0.19
C
off
⁡
0
0.16
C
th
0.01
0.013The antenna return loss is illustrated in Figure6. The antenna bandwidth is found to be 3.8 GHz, that is, (92.5–96.3 GHz). To validate the proper excitation and resonance of CDRA, The dielectric resonators from the antenna structure are removed and simulation is carried out; the S11 for this case is shown in the inset of Figure 5.Figure 6
Antenna return loss (S11), with L1 = 14 mm, W1 = 10 mm, L2 = 11.68 mm, W2 = 5.82 mm, Soff⁡ = 0.06 mm, CL = 1 mm, Cth = 13 μm, W = 0.19 mm, G = 20 μm, Ls = 0.75 mm, Ws = 0.103 mm, Lstub = 0.417 mm, Coff⁡ = 0.16 mm, and Pw = 0.01 mm.The antenna radiation pattern inYZ plane (θ = 0°, φ = 0°) at 94 GHz is illustrated in Figure 7(a). As shown in the figure a broad and symmetric radiation pattern is achieved having maximum gain of 7.8 dB at center frequency of 94 GHz. The 3 dB beam width is found to be approximately 60°; furthermore, the antenna front to back ratio of 27 dB is achieved. As illustrated in Figure 7(b), the antenna radiation patter inXZ plane (θ = 0°, φ = 90°) is narrow and symmetric. The 3 dB beam width is found to be approximately 14° with main to side lobe level at 9 dB. The peak realized gain and antenna efficiency are shown in Figure 8. The peak realized gain of proposed antenna remains above 5.5 dB for the whole frequency band of operation whereas the antenna efficiency is found to be approximately 40% throughout the band of interest. TheE field distribution on top aluminum layer is shown in Figure 9.Simulated radiation pattern at 94 GHz. (a)YZ plane, (b)XZ plane, with L1 = 14 mm, W1 = 10 mm, L2 = 11.68 mm, W2 = 5.82 mm, Soff⁡ = 0.06 mm, CL = 1 mm, Cth = 13 μm, W = 0.19 mm, G = 20 μm, Ls = 0.75 mm, Ws = 0.103 mm, Lstub = 0.417 mm, Coff⁡ = 0.16 mm, and Pw = 0.01 mm.
(a)
YZ plane
(b)
XZ planeFigure 8
Antenna gain and efficiency, withL1 = 14 mm, W1 = 10 mm, L2 = 11.68 mm, W2 = 5.82 mm, Soff⁡ = 0.06 mm, CL = 1 mm, Cth = 13 μm, W = 0.19 mm, G = 20 μm, Ls = 0.75 mm, Ws=0.103mm, Lstub = 0.417 mm, Coff⁡ = 0.16 mm, and Pw = 0.01 mm.Figure 9
E-field distribution on top aluminum layer with L1 = 14 mm, W1 = 10 mm, L2 = 11.68 mm, W2 = 5.82 mm, Soff⁡ = 0.06 mm, CL = 1 mm, Cth = 13 μm, W = 0.19 mm, G = 20 μm, Ls = 0.75 mm, Ws = 0.103 mm, Lstub = 0.417 mm, Coff⁡ = 0.16 mm, and Pw = 0.01 mm.


## 4. Conclusion

The investigation in this paper enables exploring the benefits arising from coupling microbolometers, diodes, and other sensors to DRAs and similar high gain single ended antenna structures at millimeter wave and terahertz frequencies. Microbolometers and diodes require differential feed for signal bias and readout and so were prohibited from being coupled to regular common DRA designs. The presented design explored a novel antenna-coupled microbolometer configuration. The antenna top aluminum layer is divided into two electrically isolated parts by utilizing staircase DC cuts, CPW line, and a bolometer resistor. The DR havingεr = 4 is utilized in this design, and HEM11Δ mode is excited within the DR by means of rectangular slot placed at a offset of 0.06 mm from the center of DR. The quartz having εr = 3.78 and aluminum is used for substrate and conducting parts in the antenna structure, respectively. The impedance bandwidth of 3.8 GHz is achieved at center frequency of 94 GHz with a very reasonable gain of above 7 dB throughout the whole band of operation. The antenna efficiency is found to be 40%.



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*Source: 850736-2014-03-17.xml*