# Developer Design of Hybrid Plasmonic Nano Patch Antenna with Metal Insulator Metal Multilayer Construction

Authors: Raed M. Shaaban; A. Mudhafer; Ra’ed Malallah
Journal: Journal of Computer Networks and Communications
 (2019)

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## Abstract

Hybrid plasmonic nanopatch antenna with metal-insulator-metal (HMIM) multilayer has been investigated for operation at the frequency of 125–250 THz using the finite element method (FEM) implemented in Ansoft High Frequency Structure Simulator (HFSS). The proposed antenna exhibits a wide bandwidth of 49.5 THz (151.5 THz–201 THz) for the slots thicknessesWg = 50 nm and Ws = 100 nm and dual bandwidth for Ws = 20 nm. The obtained results show the input impedance of 50.3 Ω input resistance (real part) and 2.3 Ω reactance (imaginary part) occurring at (near) the operation frequency. The maximum gain of 23.98 dB has been observed for resonant frequencies of 176 THz, and the maximum directivity remains above 6.73 dB and 7.46 dB at resonant frequencies of 170 THz and 190 THz, respectively. Our proposed antenna performance is compared to previously reported designs. The copolar and cross-polar radiation patterns are simulated at different resonant frequencies of 160 THz and 197 THz for planes Φ=90° and Φ=0°. The arrays of a proposed antenna are designed in one and two dimensions in order to appropriate high-gain applications.


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## Body

## 1. Introduction

The topic of optical antennas has a historic background in previous years, but it has recently attached renewed interest for different reasons. One of the reasons is the availability of various routine nanoscale fabrication technologies that allow suitable sized structures to be made and explored as a way of harnessing nanoantennas [1–10]. A variety of nanoantennas have been investigated for different applications from light excitation or emission [11] to photovoltaics [12], scatters to redirect incident light [13], and optical wireless nanolink [14]. Nanoantennas have been proposed to enhance the efficiency of spectroscopy [15], sensing [16], and heat transfer [17]. The optical diffraction limit is a great obstacle to miniaturize applications in optical devices [18]. One approach to overcome this problem is utilizing the properties of surface plasmons which provide an effective way to solve it, in which the optical fields are highly confined beyond the diffraction limitation [19, 20]. Essentially, surface plasmons are the collective resonant of electrons at the metal-dielectric interface and then the optical power is transformed into surface waves propagating along the interface [21]. Based on the above points, the plasmonic waveguides are suitable for either efficient transmission of optical signals or high confinement of optical fields, e.g., channel plasmons waveguides [22], metallic nanowires [23], nanoslots [24], and hybrid plasmonic waveguides [25]. The concept of plasmonic nanoantennas, as one of the most important achievements, was firstly designed for optical field enhancement. So far, several nanoantennas designs have been motivated from conventional microwave antennas, for instance, Vivaldi [9], rectangular and circular patch [8], grating antennas [26], Yagi-uda [27], dipoles [28], bowtie antennas [29], metallic nanoslit with cavity [30], etc. to achieve the aforesaid applications. However, mostly proposed antennas such as dipole, bowtie, and spiral are suitable for near-field applications only; their far-field radiation is very poor unlike the radio antennas, which deteriorates wireless interconnection capability. Contrary to this, patch antennas are apt for making a wireless link between two waveguide components due to its directional far-field pattern. Previous works are focused on the nanoantennas based on purely plasmonic. The authors did not pay more attention for the following two points: firstly, the purely plasmonic nanoantennas offer very poor efficiency and are not practically realizable due to excessive ohmic losses [31]. Secondly, the antenna designed for optical communication purposes must be able to receive an optical in-plane signal and radiate it to free space and through reciprocity and to receive the signal from free space and transmit in-plane signal. The far-ﬁeld speciﬁcations of the antennas must be optimized for angle and maximum directivity. In this paper, the hybrid metal-insulator-metal (HMIM) plasmonic rectangular patch nanoantenna is developed for operation at standard communication frequencies of 125 THz–250 THz with a suitable feeding. With respect to losses resulting from the propagation and confinement, the proposed antenna exploits the low loss properties and subwavelength mode confinement of hybrid plasmonic structures, thus having a higher bandwidth, gain, and directivity than plasmonic antennas [8, 10, 32, 33]. Since proposed inset fed HMIM plasmonic nanoantenna is highly directive, it can provide an eﬃcient optical wireless interconnection. Moreover, the device can be used to enhance the absorption enhancement in photodetectors, solar cells, optical sensing, and wireless energy harvesting. The organization of the present work is as follows: the simulation structures of the HMIM plasmonic waveguide feed and nanopatch antenna are outlined in Section 2. The obtained results are presented in Section 3. In Section 4, the research work is concluded.


## 2. Simulation Structures and Methods

The cross-sectional schematic diagram of the HMIM plasmonic waveguide feed is depicted in Figure1, where a core layer of high dielectric constant material (Si) is sandwiched between a low dielectric constant material (SiO2) (spacer) and a metal (Ag). The structure supports a guided plasmonic TM mode which is highly confined inside the material with high dielectric constant. Dispersive permittivity of sliver is ε=ε′−jε″, where ε′ and ε″ are the real and imaginary parts, respectively.Figure 1
HMIM plasmonic feed waveguide. (a) Cross-sectional view. (b) 3D electric field view.
(a)
(b)In the HFSS model,ε′ can be calculated according to the Drude model of silver [34]. The optimized dimensions of feed waveguide are set as follow: the waveguide width Wf = 150 nm, the waveguide length Lf = 540 nm, metal thickness tm = 100 nm, spacer thickness ts = 20 nm, and high dielectric thickness th = 150 nm. The schematic diagram of the HMIM plasmonic nanopatch antenna is shown in Figure 2, which is designed in a rectangular form where patch width and length are set as Wp = 315 and Lp = 900 nm, respectively. When the guided hybrid plasmonic mode enters to the antenna, it transforms to radiating mode due to the four slots created in the design: two slots on either side of the feeding waveguide and the other two on the corresponding side with lengths Lg = 80 nm and Ls = 180 nm and thicknesses Wg = 50 nm and Ws = 80 nm.Figure 2
HMIM plasmonic rectangular nanopatch antenna with inset feed. (a) Perspective view. (b) Top view.
(a)
(b)


## 3. Simulation Results and Analysis

The Ansoft High Frequency Structure Simulator (HFSS) based on finite element method (FEM) is used to numerically analyze the antenna parameters such as reflection, VSWR, gain, directivity, and radiation patterns. The simulations in [5, 27] are tested using HFSS, and results obtained are very promising, which authorizes the simulation process. The ratio of reflection coefficients for HMIM has been illustrated in Figures 3(a) and 3(b), as a function of operation frequency (125 THz–250 THz) with slots varying in thickness Wg and Ws at 10 THz with a −10 dB bandwidth of approximately 151.5 THz–201 THz or 49.5 THz for Wg = 40 nm (see Figure 3(a)) and dual bandwidth for Ws = 20 nm (see Figure 3(b)), which is covering the whole optical communication. Moreover, observed bandwidth is larger than that reported in the literature [8, 10, 32, 33]. Resonance frequency and bandwidth (BW) are compared in Table 1 for all slots thicknesses. It is clear from the comparison that the perfect resonance frequency is at 159.5 THz for Wg = 40 nm and at 197.8 THz for Ws = 100 nm.Figure 3
The ratio of reﬂected wave to the incident wave,S11, versus operation frequency for different slots thicknesses. (a) Wg = (0, 10, 20, 30, 40, 50) nm. (b) Ws = (0, 20, 40, 60, 80, 100) nm.
(a)
(b)Table 1
Comparison at different slots thicknesses.
W
g (nm)
0
10
20
30
40
50
Freq. (THz)
156.4
157
157.6
158.9
159.5
160.17
BW (THz)
15.7
18.2
18.8
21.3
23.8
49.6
W
s (nm)
0
20
40
60
80
100
Freq. (THz)
157
197.2
157.6
195.9
158.3
196
159.5
194.7
159.5
195.3
160.17
BW (THz)
16.3
21.3
18.2
21.9
18.2
20.7
22.6
21.9
24.5
22
49.6To precisely understand the antenna properties and the plasmonic effect, Figure4(a) shows the simulated input impedance which consists of the resistance reactance of the proposed antenna. Input impedance of the proposed antenna shows 50.3 Ω input resistance (real part) and 2.3 Ω reactance (imaginary part) occurring at (near) the operating frequency. Perfectly, reactance (imaginary part) must be zero at resonance frequency, but here the given value is not zero due to plasmonic effect. Next, the Voltage Standing Wave Ratio (VSWR) efficiency, which is defined as the number of mismatches between an antenna and the feed line connection, has been shown in Figure 4(b).Figure 4
HMIM nanopatch antenna results forWg = 50 nm and Ws = 80 nm. (a) Real and imaginary impedance. (b) VSWR.
(a)
(b)In Figures5(a) and 5(b), gain and directivity have been calculated, respectively. The gain of more than 23.98 dB has been observed for full frequencies band, as shown in Figure 5(a). The maximum directivity remains above 6.73 dB and 7.46 dB at resonant frequencies of 170 THz and 190 THz, respectively, as shown in Figure 5(b).Figure 5
HMIM nanopatch antenna results forWg = 50 nm and Ws = 80 nm. (a) Gain radiation. (b) Directivity.
(a)
(b)Table2 shows a comparison made between the simulation results of our recent work and previous results of [8–10]. The gain and bandwidth are the highest. The antenna proposed in [8] provides the wider bandwidth compared to our proposed antenna. However, the gain of our proposed antenna is higher than that of [8].Table 2
Comparison with previous results.
Refs.
[8]
[9]
[10]
Recent
Gain (dB)
30
8.32
5.64
24
BW (THz)
234
24.38
15.6
49.5Three-dimensional radiation pattern and electric field view are also plotted at lower and upper resonant frequencies, as shown in Figures6(a) and 6(b), respectively. This mode of proposed patch antenna is similar to TM10 mode generated in conventional microwave nanopatch antenna.Figure 6
HMIM nanopatch antenna results for 160.17 THz frequencies. (a) Far-field radiation. (b) Electric field distribution.
(a)
(b)To understand the broadband behavior of the antenna, polar plots (copolar and cross-polar) at both planes (Φ=90° and Φ=0) for different frequencies (160 THz and 197 THz) are plotted in Figures 7(a), 7(b), which depict that proposed inset fed HMIM plasmonic nanopatch antenna behaves identically in the whole band.Figure 7
Polar plots of nanopatch antenna at the frequency of (a) 160 THz and (b) 197 THz. Black curves represented copolar and red curves represented cross-polar.
(a)
(b)Three-dimensional radiation pattern for linear array of elements inx (100 × 1), y (1 × 100), and xy (10 × 10) directions is shown in Figures 8(a)–8(d), which clearly depict that there is a remarkable improvement in gain and it can be improved further by increasing the number of elements.Figure 8
3D radiation pattern of nanoantenna array at lower and upper resonant frequencies 160 and 197 THz.
(a)
(b)
(c)
(d)


## 4. Conclusion

A realistic waveguide-fed nanopatch antenna based on hybrid metal-insulator-metal (HMIM) plasmonic waveguide is proposed and developed for operation frequency of 125 THz–250 THz. The calculations of impedances of the antenna and the plasmonic waveguide feed are obtained by using Ansoft High Frequency Structure Simulator (HFSS) based on the finite element method (FEM). The proposed antenna is showing more advantages compared to previously reported plasmonic antennas. Antenna arrays are also designed for high-gain applications. This work may be advantageous for several nanophotonics applications like wireless interconnects, energy harvesting, and beam steering.



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*Source: 9642902-2019-11-19.xml*