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Article

Implications of Metamaterial on Ultra-Wide Band Microstrip Antenna Performance

Department of Electrical Engineering, UAE University, Al Ain P.O. Box 15551, Abu Dhabi, UAE
*
Author to whom correspondence should be addressed.
Crystals 2020, 10(8), 677; https://doi.org/10.3390/cryst10080677
Submission received: 30 June 2020 / Revised: 30 July 2020 / Accepted: 1 August 2020 / Published: 6 August 2020
(This article belongs to the Special Issue Metamaterials)

Abstract

:
This study is addressing the slotted ring resonator effect on the performance of the ultra-wide band (UWB) microstrip antenna. Two types of metamaterial with double slotted ring resonators (SRR), circular (C-SRR) and square (S-SRR), are studied and implemented on back of the antenna. The design examines the effect of the number of the SRR and its position with respect to the antenna’s ground plane and the rotation of the inner and outer C-SRR rings on different antenna characteristics. The dimensions of the antenna are 45 mm × 31 mm × 1.27 mm. The implementation of the SRR increased the antenna bandwidth to cover the range from 2.2 GHz to 9.8 GHz with rejected bands and frequencies. Antenna simulated characteristics like return loss, maximum gain and radiation pattern are obtained utilizing HFSS. The return loss measurement and the VSWR of the antenna with all SRR configuration studied are in good agreement with simulated results.

1. Introduction

Antennas are considered significant elements of any wireless communication system. An antenna is defined as a metallic structure used for transmitting and receiving signals or radio waves [1,2]. One of the most popular and utilized antenna types is the microstrip antenna that was first presented in 1950. The microstrip antenna is very prominent due to its small size, low price, simple structure, ease of fabrication and its capability to operate on multiple bands of frequencies; contrarily, it has some significant impediments such as very narrow frequency bandwidth, low efficiency, low power, false feed radiation and poor polarization purity [2,3].
With the high number of wireless devices in information epoch which depends on information transmission with higher data rate, provision security to consumers and business, increase the number of users, the importance of wideband wireless communication technology has increased rapidly [4,5]. UWB is defined as the technology of transmitting data over a broad bandwidth; with wireless transmission of −10 dB bandwidth is more than 25% of a center frequency or −10 dB bandwidth equal or larger than 1.5 GHz [6,7,8]. In 2002, the Federal Communication Commission (FCC) declared the authorization of using the unlicensed frequency band between 3.1 GHz to 10.6 GHz for commercial communication applications. FCC reserved bandwidth of 7.5 GHz for UWB due to its importance [8,9]. Due to the necessity of a low-cost solution for microwave communication systems and the growth in wireless applications, the idea of UWB microstrip antennas was getting noticed by researchers. Antenna researchers and designers have focused on variety of challenges in order to overcome the disadvantages of microstrip antennas. Farhood et al. [10] presented a hexagonal-shaped patch antenna of added two capacitive loaded line resonators (CLLRs) on the ground plane to achieve UWB bandwidth between 1.1 GHz to 10.69 GHz. Their antenna covers the UWB band from 3.1 GHz to 10.6 GHz and frequencies 2.4 GHz and 9.1 GHz for Bluetooth and radar applications. The designed antenna has an omnidirectional radiation pattern. Kardile et al. [11] introduced a multiband circular microstrip antenna; their antenna consists of a circular patch and a microstrip feeding line with a notch that produces the multiple bands. A U-shaped slot was embedded onto the antenna patch to achieve band-stop filtering over the frequency range. The antenna has three bands from 1.5 GHz to 2.8 GHz, 3.3 GHz to 4.7 GHz and ultra-wideband characteristics from 6 GHz to 16.10 GHz. The antenna’s maximum gain is 4.58 dB, and radiation efficiency is around 86.17%.
Furthermore, in [12], Sultan et al. introduced a double notched self-complementary UWB antenna. It consists of semi-ring with tapered section, T-shaped slot etched in the radiating patch and two C-shaped close to the microstrip feed line. Antenna’s frequency bandwidth is between 2.2 GHz and 12 GHz, and the maximum gain is 3.5 dB; with radiation efficiency of 70%. New composite materials were introduced in the microwave and optics applications, known as a metamaterial, having unnatural properties [13]. Electromagnetic metamaterials are defined as efficient homogenous structures that have properties not found in nature [14]. In the late 60 s, V.G. Veselago proposed the idea of the metamaterial existence that had both negative electric permittivity ε and negative magnetic permeability μ simultaneously. In 1999, split-ring resonators (SRRs) were studied to provide negative magnetic permeability μ by Pendry [15]. SRR is defined as a sub-wavelength metamaterial structure that displays negative permeability μ over a narrow frequency band around its resonance frequency [16]. A double-ring SRR is another form of SRR, it is made of two concentric rings separated by a gap with splits at opposite sides; in this case, a resonant structure can be obtained [17]. Etching SRR on the ground plane of a microstrip antenna is used to modify antenna’s performance. An SRR has been used extensively by many studies in the fields of antenna and microwave devices design. In many applications SRR has been introduced to enhance the performance of the device or suppress the device functionality at specific frequencies. In [18], Mahmud et al. introduced a microstrip antenna with a modified triangular patch, and two arrays of 2 × 4 square SRRs were placed on the radiating patch and ground plane. Their proposed antenna has a bandwidth from 3.1 GHz to 9 GHz, and gain increased more than 3 dBi. Research by Hamad et al. studied the UWB microstrip patch antenna with metamaterials of X-shaped slots on the radiating patch and ground plane, their design enhanced antenna’s bandwidth to cover the range 3.2 GHz to 23.9 GHz, with a peak gain of 6.2 dB [19]. Islam et al. [20] designed the UWB antenna with a hexagonal split-ring resonator (HSRR) for sensing the PH factor in sensor application. The designed antenna covers the bandwidth between 3 GHz to 20 GHz and total antenna efficiency of 70% with a gain of 3.88 dB. Ebadzadeh et al. [21] proposed a UWB monopole antenna covering a frequency band from 3.1 GHz to 10.6 GHz with a notched band that occurs around 5 GHz to 6 GHz. This antenna operates for wireless local area networks (WLAN) due to SRR on the ground plane. In [22], UWB circular monopole antenna was studied, the antenna covers the entire UWB bandwidth 3.1 GHz to 10.6 GHz. Two rectangular shaped SRR were implemented to create a notched band between 6.41 GHz to 8.26 GHz for X-band satellite communication application. Li et al. [23], have used an array of a complimentary double-ring SRR on the conducting backplane of a square patch antenna with a single resonance frequency at 3.5 GHz. Their proposed design has resulted in a 22% size reduction, where as other antenna parameters, such as directivity and maximum gain were not affected by the introduction of the SRR. In another application Sharma and Sumeet [24] designed a fidget spinner-shaped antenna with four operating bands. Then the authors introduced a double circular SRR on the antenna side. The authors concluded that the introduction of the SRR helped to improve the impedance matching of antenna, which resulted in an improved reflection loss at the original operating band without the SRR. Abdelkebir et al. [25] implemented an artificial magnetic conductor surface with meander monopole antenna to improve antenna’s electromagnetic performances.
This study investigates how different shapes and configurations of an SRR, mainly circular SRR (C-SRR) and square SRR (S-SRR) will alter the performance of an UWB circular microstrip antenna. The circular microstrip patch antenna and SRRS arrangements are simulated and assessed by ANSOFT’s high-frequency structure simulator (HFSS V18). Measurements of selected designs that are fabricated in UAEU labs will be discussed. It is expected that SRR will increase antenna’s bandwidth and provides the possibility to transmit or reject specific frequencies bands based on SRR design parameters.

2. Antenna Design

A UWB microstrip antenna of circular patch with elliptical slot rings was designed. This antenna consists of a printed circular patch modified with elliptical slot rings excited by a rectangular edge-fed microstrip line. The circular patch design is selected for outer dimensions of antenna design due to its excellent radiation efficiencies, impedance bandwidth and omni-directional far-field beam pattern [26]. In this antenna, Rogers 5880-LZ substrate of a length 45 mm and a width of 31 mm is used with a dielectric constant of ε r = 1.96, substrate thickness h = 1.27 mm and a loss tangent of 0.0009. Moreover, a partial conducting ground plane with a length of 11 mm and a width of 31 mm is implemented; the ground plane length of 11 mm was selected after performing several parametric simulations to produce the best wideband results. Fundamentally, three lunar slots are employed on the patch’s circular shape to reduce the antenna reflection loss ( S 11 ) and enhance the VSWR. Antenna’s detailed geometry is demonstrated in Figure 1, Table 1 and Table 2.
The parametric simulation was conducted on a ground length ranges between 8 mm–13 mm to achieve optimal design performance. Figure 2 shows the return loss with the ground plane variations, which in return affects the resonant frequency. As a consequence of the return loss value and UWB requirements, 11-mm length of the ground plane is noticeable to be the most appropriate value with a frequency range between 3.5 GHz and 9 GHz; the best return loss obtained is −40 dB at 4.6 GHz, as illustrated in Figure 3. The VSWR of this design is less than two for the impedance bandwidth between 3.5 GHz and 9 GHz. The maximum gain obtained is almost 5 dB in the UWB band, as shown in Figure 4.
Moreover, the radiation pattern is another essential antenna parameter; The proposed antenna’s radiation pattern at different frequencies of 4 GHz, 6 GHz, 8 GHz and 10 GHz in both E- and H- planes are presented in Figure 5 at Phi = 0° and Phi = 90°. Obviously, the radiation pattern is almost omni-directional at Phi = 0° plane. The proposed antenna with 11 mm partial ground was fabricated and displayed in Figure 6. The return loss measurement shows that the antenna has a frequency bandwidth between 3.5 GHz and 8.4 GHz and a return loss up to −38 dB at 4.2 GHz, Figure 7. The simulated and measured results are in good agreement with a compression in the measured results between 5 GHz to 6 GHz. The small variation between the measured and simulated results can be attributed to the use of SMA-N adapter during the VNA calibration process. Overall, both results have acceptable performance over the design range.

3. Metamaterials Design

The new idea of structured materials known as metamaterials was studied to benefit from its functionality and behavior. This material can produce new types of materials with negative electric permittivity, negative magnetic permeability and a negative refractive index [27]. Metamaterials are classified according to the properties of electric permittivity ε and magnetic permeability μ into four groups [28]: (1) double-positive (DPS) materials are materials with positive permittivity ε > 0 and positive permeability μ > 0 . Most of the materials in nature such as dielectrics belong to DPS; (2) epsilon negative (ENG) materials are materials that have negative permittivity ε < 0 and positive permeability μ > 0 like plasmas. For microwave applications, thin metal wires are used to produce ENG material; (3) Mu-negative (MNG) materials are materials with positive permittivity ε > 0 and negative permeability μ < 0 . Gyrotropic material is an example of a material that has negative permeability, in addition, split-ring resonator (SRR) is the most widely used MNG material; (4) double negative (DNG) materials are materials that are not available in nature so it should be produced artificially. In this class both permittivity and permeability are negative ε < 0 and μ < 0 . SRR material with MNG properties was used extensively in antenna and microwave applications. In 1999, John Pendry proposed the double slotted ring resonator structure, where both rings are split [29]. SRRs have many geometric shapes, but in this study, the analysis will be concentrated on circular and square SRR.
A unit cell of double SRR structure consists of two concentric metallic rings with slots (gaps) at opposite sides; the two rings have a small separation between them and are made of nonmagnetic metal such as copper [30,31]. Exciting the SRR by a time-varying electromagnetic wave, with a magnetic field (H-field) is perpendicular to the plane of the SRR, this induces a current in the two rings. The two gaps on the opposite side prevent current flow around the rings but allow an induced current to flow on the ring surface and pass from one ring to the other as a displacement current through the capacitive split between the two rings. The high value of distributed capacitance on the gap between the two rings, which store the same amount of charges, but an opposite sign at both sides of the gap, prompts strong coupling between the two rings and lower the resonant frequency. The total capacitance of an SRR structure is the series distributed capacitance on the two rings and the two gaps capacitance [31,32,33,34,35,36]. Moreover, SRR inductance is specified according to the length of the rings and it is becoming larger when ring length increased; due to SRR capacitance and inductance, it behaves as a resonant LC circuit [34,35,37]. Figure 8 shows how the current flow on circular and square SRR.
SRR, circular and square, behaves as an LC resonator that can be excited by an electromagnetic field [38]; the equivalent LC circuit model is displayed in Figure 9; L s is the resonator self-inductance and the two SRR rings have the capacitance in halves, C 0 / 2 [39]. SRR structure’s total capacitance is the series capacitance of its two rings [35].
From the equivalent circuit of the SRR, it can be noticed that the structure acts as an LC circuit with the resonant frequency specified by the total inductance and capacitance of the SRR structure [40]. In the next analysis, the designing equations and HFSS analysis for circular and square SRR are presented.

3.1. Circular SRR (C-SRR) and Square SRR (S-SRR) Design

Figure 10 shows the schematic view of circular SRR and its resonance frequency is expressed as:
ω 0 = 2 ( C 0 + C g ) L
where C 0 is the distributed capacitance, C g is the gap capacitance and L is the self-inductance of the rings.
The resonant frequency of square SRR, demonstrated in Figure 11, is given by [41,42]:
f 0 = 1 2 π 1 L T C eq
L T is the total inductance and C eq is the total equivalent capacitance. For detailed C-SRR and S-SRR design equations, refer to references [29,34,35].

3.2. Circular and Square SRR Design Analysis

In order to analyze the behavior of SRR unit cell, all structures are designed using the same geometry in [36,41] and printed on Rogers 5880-LZ substrate with a dielectric constant of ε r = 1.96, with dielectric loss tangent of tan δ = 0.0009 and substrate thickness of 1.27 mm. Parameters values of circular and square SRRs are shown in Table 3.
The resonance behavior of the circular SRR, in Figure 12, has resonant frequencies at 3.6246 GHz, 13.5906 GHz and 19.7908 GHz, as displayed in Figure 13. It is noticeable that SRR has a resonance at different frequencies where it has a good transmission. A jumping phenomenon occurs at the resonant frequency where there is a phase change in ( S 11 ), which confirms some material characteristics such as negative permeability. Figure 14 shows the behavior of the magnetic permeability of the proposed circular SRR. It is clearly shown that the permeability takes negative values at the transmission parameter ( S 21 ). The surface current density for the circular SRR at the first resonant frequency 3.6246 GHz is shown in Figure 15; it is observed that most the current is concentrated at the inner side of each ring opposite to its gap and the same figure displays the direction of the surface current that flows in the same direction, clockwise, for the two rings.
The next unit cell to be analyzed is the S-SRR, Figure 16, which has two resonant frequencies at 4.975 GHz and 17.6226 GHz, as displayed in Figure 17. At the transmission parameter S 21 , the permeability of the square SRR is having a negative value, Figure 18. Metamaterial characteristic is shown clearly in the permeability behavior of changing from positive to negative values at specific frequency. The current concentration is at the inner side of each ring opposite to the gaps at resonant frequency 4.975 GHz, and the flow of the current for the two rings is in the same direction counter-clockwise, Figure 19.

4. Antennas Implemented with Metamaterials

4.1. Implementation of Circular-SRR

The UWB circular microstrip antenna with elliptical rings was combined with C-SRR to improve the antenna return loss and increase the bandwidth. The experiment started with implementing the same C-SRR with dimensions detailed in Table 3, on the back of the antenna (ground side of the substrate). Beginning with one C-SRR at the center (origin (0, 0)), then the number of C-SRRs are increased gradually; by this addition of C-SRRs, arrays of 3 × 2 and 3 × 3 are created. Figure 20 shows the implementations of different numbers of C-SRR, and the results are presented in Table 4 and Figure 21.
The return loss ( S 11 ) of the circular antenna affected by increasing C-SRRs number was noticeable for 3 × 3 array while the lower numbers of C-SRRs have the no effect or small change enhancement occurs by implementing 3 × 3 C-SRR on the back of the antenna with a one-millimeter separation between each SRR unit, Figure 22. The effect of C-SRR on antennas return loss is shown in Figure 23. The introduction of the SRR resulted in a shift of the UWB start at 2.8 GHz and improved return loss over the entire band. The antenna’s maximum gain is presented in Figure 24; it is almost 5 dB. The antenna’s radiation pattern with implemented C-SRR is examined for different frequencies of 4, 6, 8 and 10 GHz with φ = 0° and 90°; it is noticeable that its radiation pattern has maintained omnidirectional behavior, Figure 25.
The proposed circular microstrip antenna with an array of 3 × 3 C-SRR is fabricated in the lab and presented in Figure 26. The frequency bandwidth of the antenna is between 2.9 GHz to 8.8 GHz, Figure 27, with VSWR less than 2 for antenna’s impedance bandwidth. The simulated and measured results are in good agreement.

4.2. C-SRR and Ring Rotation

Studying the arrangements of the SRR double-ring orientation with respect to each other will provide an insight on the effect of the ring orientation on antenna’s performance. Thus, Inner ring rotation of the SRR effect is investigated. Inner ring rotation of 10°, 3° and 17° is applied along either the row or the column configuration of the array. Figure 28 presents the antenna with SRR in case 1, where the rotation angles applied to the rows of the array. Case 2 displays the SRR arrangement along the column of the array. Figure 28 shows the return loss results with inner ring rotation, which results in a rejection or notched band from 3.91 GHz to 4.25 GHz for rotation along the row. On the other hand. Implementing ring rotation along the column resulted in a rejection bandwidth from 4.82 GHz to 5.6 GHz, as shown in Figure 29. Antenna’s gain in case 1, case 2, is around 5 dB as displayed in Figure 30.
The next step for applying rotated inner rings will utilize positive (clockwise) and negative (anti-clockwise) angles rotation as displayed in Figure 31. Three cases are studied: Case 1: inner ring rotations for 47°, 33° and 10° are applied to the array’s column on the back of the antenna. Such arrangement resulted in a rejection at three frequencies 4.8 GHz, 5.4 GHz and 7 GHz, Figure 32. In Case 2 negative angle rotation of −47° is implemented on the upper row, and the other two rows have positive angle rotation of 33° and 10°, respectively. This design has no rejection frequencies in its bandwidth, Figure 32. In Case 3 all SRRs are implemented with negative angles rotation of −47°, −33° and −10°. Figure 32 shows two rejection frequencies at 4.8 GHz and 7.2 GHz. The three designs have an improved frequency bandwidth between 2.2 GHz to 9.8 GHz and a maximum gain around 5.3 dB, Figure 33.
The final C-SRR implementation is to study inner and outer ring rotation with positive/negative angles. Three cases are investigated with angle rotation of 7°, 13° and 30° as illustrated in Figure 34. The three studied cases are as follows: Case 1: angles 7°, 13° and 30° are applied the inner rings. In the scenario the antenna has two rejection frequencies at 4.8 GHz and 5.4 GHz, Figure 35. In Case 2 the same rotation angles 7°, 13° and 30° are used for outer ring. In this case the antenna did not exhibit any rejection bands, Figure 35. For Case 3: negative angles −7°, −13° and −30° are implemented on the outer rings, this implementation resulted in rejection bandwidth between 4.69 GHz to 5.44 GHz and a second rejection frequency at 7 GHz as depicted in Figure 35. The three design cases have an improved bandwidth from 2.2 GHz to 9.8 GHz. The antenna gain for the 3 cases is between 5.4 dB and 5.55 dB, as shown in Figure 36.
The circular antenna, with rotated inner ring angles of 47°, 33° and 10° is fabricated in the lab and displayed in Figure 37. The measurement shows that the antenna has frequency bandwidth between 3.4 GHz and 9.4 GHz as shown in Figure 38; with VSWR is less than 2 in its bandwidth range. The simulated bandwidth is wider than the measured one, but both results are in good agreement.

4.3. Implementation of Square-SRR

The S-SRR has been utilized in many antenna and microwave applications; such that, to design multi-band and single frequency notch filters and reduce the UWB antenna interference [41]. In this section, we study the effect of the array size on the antenna performance. The analysis starts with 2 × 1 array and increases up to 2 × 5 array size as shown in Figure 39a–e. The return loss results and geometric configuration for all arrays 2 × 1–2 × 5 are presented in Figure 40 and Table 5. Maximum gain for the circular antenna with the S-SRR implementation of the studied arrays is around 5 dB; the gain is 4.897 dB for 2 × 1 and increased up to 5.053 dB for 2 × 5, Figure 41. The simulated radiation pattern of the antenna with the 2 × 4 array of the double S-SRR, Figure 42, shows that the antenna exhibits an omnidirectional radiation pattern and low gain at the rejection frequency 5.6 GHz.
The previous array size increased to 3 × 4, 4 × 4 and 4 × 5 as illustrated in Figure 39f–h. The three arrays have an improved frequency bandwidth from 2.2 GHz to 10 GHz with a notched band from 4.85 GHz to 5.8 GHz; with almost 1 GHz rejection band, Figure 43. The antenna maximum gain for all 3 arrays is around 5.2 dB as shown in Figure 44. The proposed antenna of 3 × 4 array has an omnidirectional radiation pattern at 4, 5, 5.2, 6, 8 and 10 GHz except for 5.6 GHz as this frequency located in the rejection band.

5. Conclusions

UWB circular microstrip antenna with elliptical rings was designed covering bandwidth between 3.5 GHz to 9 GHz. In order to enhance the antenna performance, multiple techniques used based on implementing metamaterials SRR. Arrays with different structure and position with respect to the UWB antenna were investigated. The study covered two types of double-ring SRR, these are C-SRR and S-SRR. The C-SRR array effect is noticed on antenna’s behavior, such as increasing the frequency bandwidth to be 2.2 GHz to 9.8 GHz with rejection bands and frequencies. Additionally, C-SRR ring rotation was investigated; rotation resulted in a larger bandwidth, exhibited frequency band rejection, increased antenna gain and could obtain multiple rejection frequencies. A similar performance was observed with the implementation of the S-SRR array structure. Other designs of SRR can be analyzed and implemented; different designs have different resonant frequencies, which will affect the antenna’s performance. This study will open the door for future investigation of tunable array configuration to suite desired metamaterial applications. Furthermore, antenna’s width and length, patch shape, the radius of a circular patch, patch slots and ground size are parameters that affect the whole performance of the antenna. In this case, the antenna can be selective and operates at other frequency bands rather than UWB.

Author Contributions

Conceptualization, M.I.H. and E.A.S.; methodology, M.I.H. and E.A.S.; software, E.A.S.; validation, M.I.H. and E.A.S.; formal analysis, E.A.S.; investigation, E.A.S.; resources, M.I.H.; data curation, E.A.S.; writing—original draft preparation, E.A.S.; writing—review and editing, M.I.H.; visualization, E.A.S.; supervision, M.I.H.; project administration, M.I.H.; funding acquisition, M.I.H. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Conflicts of Interest

The authors declare no conflicts of interest.

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Figure 1. Circular antenna structure.
Figure 1. Circular antenna structure.
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Figure 2. Simulated S11 for ground length 8–13 mm.
Figure 2. Simulated S11 for ground length 8–13 mm.
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Figure 3. Simulated S11 for the optimal value of ground length 11 mm.
Figure 3. Simulated S11 for the optimal value of ground length 11 mm.
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Figure 4. Simulated maximum gain.
Figure 4. Simulated maximum gain.
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Figure 5. Radiation pattern at Phi = 0° & 90°.
Figure 5. Radiation pattern at Phi = 0° & 90°.
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Figure 6. Fabricated circular microstrip antenna with elliptical rings.
Figure 6. Fabricated circular microstrip antenna with elliptical rings.
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Figure 7. S11 for the fabricated microstrip antenna.
Figure 7. S11 for the fabricated microstrip antenna.
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Figure 8. Electric current flow on split-ring resonators (SRRs).
Figure 8. Electric current flow on split-ring resonators (SRRs).
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Figure 9. SRR equivalent circuit model.
Figure 9. SRR equivalent circuit model.
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Figure 10. Schematic view of a circular split-ring resonator.
Figure 10. Schematic view of a circular split-ring resonator.
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Figure 11. Schematic view of a square split-ring resonator.
Figure 11. Schematic view of a square split-ring resonator.
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Figure 12. Circular SRR designed in HFSS.
Figure 12. Circular SRR designed in HFSS.
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Figure 13. S11 and S21 for circular SRR.
Figure 13. S11 and S21 for circular SRR.
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Figure 14. Real and imaginary effective permeability µ.
Figure 14. Real and imaginary effective permeability µ.
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Figure 15. Surface current density and its vectors for circular SRR.
Figure 15. Surface current density and its vectors for circular SRR.
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Figure 16. Square SRR designed in HFSS.
Figure 16. Square SRR designed in HFSS.
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Figure 17. S11 and S21 for square SRR.
Figure 17. S11 and S21 for square SRR.
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Figure 18. Real and imaginary effective permeability µ.
Figure 18. Real and imaginary effective permeability µ.
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Figure 19. Surface current density and its vectors for square SRR.
Figure 19. Surface current density and its vectors for square SRR.
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Figure 20. Different number of C-SRR on the back of the antenna. Arrays of (a) 1 × 1 (b) 1 × 2 (c) 1 × 3 (d) 3 × 1 (e) 3 × 2 (f) 3 × 3.
Figure 20. Different number of C-SRR on the back of the antenna. Arrays of (a) 1 × 1 (b) 1 × 2 (c) 1 × 3 (d) 3 × 1 (e) 3 × 2 (f) 3 × 3.
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Figure 21. S11 for antenna with different number of C-SRR.
Figure 21. S11 for antenna with different number of C-SRR.
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Figure 22. (a) Antenna front side (b) antenna back.
Figure 22. (a) Antenna front side (b) antenna back.
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Figure 23. Simulated S11 for circular antenna and the antenna with 3 × 3 C-SRR.
Figure 23. Simulated S11 for circular antenna and the antenna with 3 × 3 C-SRR.
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Figure 24. Simulated maximum gain for circular antenna with 3 × 3 C-SRR.
Figure 24. Simulated maximum gain for circular antenna with 3 × 3 C-SRR.
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Figure 25. (a) Radiation pattern at Phi = 0° (b) radiation pattern at Phi = 90°.
Figure 25. (a) Radiation pattern at Phi = 0° (b) radiation pattern at Phi = 90°.
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Figure 26. Circular microstrip antenna with C-SRR on the back.
Figure 26. Circular microstrip antenna with C-SRR on the back.
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Figure 27. S11 for the fabricated antenna with C-SRR.
Figure 27. S11 for the fabricated antenna with C-SRR.
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Figure 28. Inner ring rotation for C-SRRs.
Figure 28. Inner ring rotation for C-SRRs.
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Figure 29. S11 for the antenna of shifted C-SRR and inner ring rotation horizontally and vertically.
Figure 29. S11 for the antenna of shifted C-SRR and inner ring rotation horizontally and vertically.
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Figure 30. Maximum gain of the three antennas.
Figure 30. Maximum gain of the three antennas.
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Figure 31. C–SRRs inner ring rotation for positive and negative angle.
Figure 31. C–SRRs inner ring rotation for positive and negative angle.
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Figure 32. S11 of C-SRRs inner ring rotation for positive and negative angles.
Figure 32. S11 of C-SRRs inner ring rotation for positive and negative angles.
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Figure 33. Maximum gain of the antennas.
Figure 33. Maximum gain of the antennas.
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Figure 34. Inner and outer ring rotation for positive and negative angles.
Figure 34. Inner and outer ring rotation for positive and negative angles.
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Figure 35. S11 for multiple C-SRR variations.
Figure 35. S11 for multiple C-SRR variations.
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Figure 36. Antennas maximum gain.
Figure 36. Antennas maximum gain.
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Figure 37. Inner ring rotation.
Figure 37. Inner ring rotation.
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Figure 38. Simulated and measured S11.
Figure 38. Simulated and measured S11.
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Figure 39. Implementation of S-CRR arrays. (a) 2 × 1 (b) 2 × 2 (c) 2 × 3 (d) 2 × 4 (e) 2 × 5 (f) 3 × 4 (g) 4 × 4 (h) 4 × 5.
Figure 39. Implementation of S-CRR arrays. (a) 2 × 1 (b) 2 × 2 (c) 2 × 3 (d) 2 × 4 (e) 2 × 5 (f) 3 × 4 (g) 4 × 4 (h) 4 × 5.
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Figure 40. S11 for different S-SRR arrays.
Figure 40. S11 for different S-SRR arrays.
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Figure 41. Antennas maximum gain with different S-SRR arrays.
Figure 41. Antennas maximum gain with different S-SRR arrays.
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Figure 42. Radiation pattern for 2 × 4 array, (a) Phi = 0° (b) Phi = 90°.
Figure 42. Radiation pattern for 2 × 4 array, (a) Phi = 0° (b) Phi = 90°.
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Figure 43. S11 for 3 × 4, 4 × 4 and 4 × 5 S-SRR.
Figure 43. S11 for 3 × 4, 4 × 4 and 4 × 5 S-SRR.
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Figure 44. Antenna maximum gain with 3 × 4, 4 × 4 and 4 × 5 S-SRR.
Figure 44. Antenna maximum gain with 3 × 4, 4 × 4 and 4 × 5 S-SRR.
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Table 1. Antenna dimensions.
Table 1. Antenna dimensions.
PartLength (mm)PartLength (mm)
L145.00L94.900
L211.00L102.650
L32.651L117.680
L44.130W131.00
L52.900W29.000
L62.000W38.480
L72.650W41.030
L82.900W53.920
Table 2. Ring specifications.
Table 2. Ring specifications.
EllipseMajor Radius (mm)Ration
A15.01
B7.421.5
C6.891.5
D5.301.5
Table 3. Circular and square SRR unit cell parameters.
Table 3. Circular and square SRR unit cell parameters.
Circular SRRSquare SRR
The Unit Cell ParametersValue (mm)The Unit Cell ParametersValue (mm)
Ring   width   ( c )0.7 Ring   width   ( c )0.5
Ring   thickness   ( h )37 µm Ring   thickness   ( t )35 µm
Inter - ring   spacing   ( d )0.2 Inter - ring   spacing   ( d )0.2
Split   gap   ( g )0.2 Split   gap   ( g )0.8
Substrate   thickness   ( t )1.27 Substrate   thickness   ( h )1.27
Inner   ring   radius   ( r )2.2 Square   half   side   ( a e x t )2.6
Table 4. Results of C-SRR implementations with the antenna.
Table 4. Results of C-SRR implementations with the antenna.
CaseC-SRR No.Frequency Bandwidth (GHz)Return Loss (dB)
a13.5–9−42
b2 on y-axis3.5–8−49.65
c3 on y-axis3.2–8.2−40
d3 on x-axis2.2–8−34.8
e3 × 22.2–8−33.74
f3 × 32.8–8−45.7
Table 5. Results of S-SRR arrays implementations with the antenna.
Table 5. Results of S-SRR arrays implementations with the antenna.
CaseArrayBandwidth (GHz)Rejected Bands/Freq. (GHz)
a2 × 12.2–95.6
b2 × 22.2–9-
c2 × 32.2–85.6
d2 × 42.2–85.6
e2 × 52.2–85.6
f3 × 42.2–104.85–5.8
g4 × 42.2–104.85–5.8
h4 × 52.2–104.85–5.8

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Serria, E.A.; Hussein, M.I. Implications of Metamaterial on Ultra-Wide Band Microstrip Antenna Performance. Crystals 2020, 10, 677. https://doi.org/10.3390/cryst10080677

AMA Style

Serria EA, Hussein MI. Implications of Metamaterial on Ultra-Wide Band Microstrip Antenna Performance. Crystals. 2020; 10(8):677. https://doi.org/10.3390/cryst10080677

Chicago/Turabian Style

Serria, Elham A., and Mousa I. Hussein. 2020. "Implications of Metamaterial on Ultra-Wide Band Microstrip Antenna Performance" Crystals 10, no. 8: 677. https://doi.org/10.3390/cryst10080677

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