# Magneto Dielectric-Laden Miniaturized Wideband Meander Line Antenna for Mobile Devices

Authors: Bancha Luadang; Rewat Senathong; Chuwong Phongcharoenpanich
Journal: International Journal of Antennas and Propagation
 (2018)

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## Abstract

This research presents a miniaturized wideband meander line antenna (MLA) using a magneto dielectric (MD) material for mobile device applications. The proposed MLA attached the lower and upper ground planes of the folder-type chassis, connected electrically by grounding strip. The MD material (ECCOSORB MF-124) was subsequently loaded onto the coupling element area of the MLA. The MD-laden MLA was ultracompact (10 mm × 25 mm × 1 mm), with the electrical size of 0.015λ × 0.039λ × 0.0015λ at 470 MHz. The surface current distribution was simulated to determine the optimal parameters of the MD-laden MLA. To verify, a prototype antenna was fabricated and the experiments were performed. The measured impedance bandwidth (S11<−6 dB) covered the frequency range of 467–1012 MHz (73.6%), with an omnidirectional radiation pattern. The radiation efficiency was in excess of 90%, rendering it suitable for the DVB-H/LTE13/GSM850/900 applications.


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## Body

## 1. Introduction

The recent decades have witnessed an accelerated development of wireless devices and mobile wireless communication devices to cater to diverse needs of consumers. Modern mobile devices are thus becoming more compact and more affordable, with attractive appearance and smart functions. As a result, the newer generation of mobile communication devices requires smaller and more cost-effective antennas.The mobile devices or handsets that simultaneously operate in the DVB-H (470–862 MHz), LTE13 (746–787 MHz), and GSM850/900 (824–894 MHz/880–960 MHz) bands present an implementation challenge of integrating an internal antenna in the compact device. The challenge multiplies for the lower-end frequency (470 MHz) whose free-space wavelength is substantially large (λ0 = 64 cm) and thus the sizable device antenna.Recent research has proposed several types of miniaturized antennas for mobile applications. In [1], a modified earpiece cord was proposed as a wideband DVB-H antenna, whereby the cord was wound into a high-impedance radio frequency (RF) choke at one-quarter wavelength distance from the handset connection. In addition, a four-feed antenna scheme was proposed to generate nine frequency bands for mobile phones; however, the implementation of the scheme required the impedance matching circuit, resulting in the costly complex structure [2]. In [3–5], the frequency-tunable antennas were realized by applying DC bias voltage to an active component. The antennas achieved the resonant frequency across the desired frequency bands. The antennas, however, required the tuning circuits to realize the resonant frequency, contributing to the low antenna gain due to the interfacial component loss.A novel modified compact monopole DVB-H antenna was proposed by extending the feeding line, which was placed atop the ground plane, and modifying the antenna element line. Nevertheless, the antenna usefulness was restricted to the DVB-H application [6]. In [7], a DVB-H antenna was realized by combining a coupling element and a folder-type mobile phone chassis. The antenna utilized the chassis as a main radiator, and the compact coupling element was loaded on a ferrite without a matching circuit. The impedance bandwidth, however, satisfies only the DVB-H (468–719 MHz) requirement. In [8], an internal antenna for mobile handsets could achieve a very wide impedance bandwidth, covering the LTE13 (746–787 MHz), GSM850 (824–894 MHz), and GSM900 (880–960 MHz) bands. It, nevertheless, partially covered the lower-end frequency for the DVB-H application (470 MHz). Theoretically, an antenna should have as low reflection coefficient as possible. However, |S11| of less than −10 dB is practically hard to be obtained for small antenna. Some antennas in the previous works can accept a −4.5 dB reflection level [9]. From open literature, most mobile device antennas are designed using |S11| < −6 dB criteria [1, 3, 4, 7–10]. In [10], the authors proposed a planar meander monopole antenna for multiband wireless communication using parasitic strips and a sleeve feed. The antenna achieved a wide impedance bandwidth (101.7%) from 440 to 1350 MHz (voltage standing wave ratio < 3), satisfying the DVB-H/LTE13/GSM850/900 requirements. Nonetheless, the antenna radiator suffered from the bulkiness (65 mm × 44 mm), rendering it unsuitable for the compact application.In order to obtain a broad impedance bandwidth while maintaining the compact size of a miniaturized antenna, studies have introduced the magneto dielectric (MD) materials to the antennas [11–18]. The antenna size reduction and bandwidth improvement were achieved using the MD materials with moderate permittivity and permeability. In [11], the impedance bandwidth of a printed antenna over a magneto dielectric substrate of thickness (t) can be approximated by
(1)BW=96μ/ε.t/λ024+17με⋅In (1), the miniaturization is governed by a factor that suppresses the wavelength by a factor of με. The relationship between the permittivity and permeability of an MD material and the resonant wavelength is given by
(2)λresonant=λ0με,where λ0 is the free space wavelength. The impedance bandwidth of the antenna can be enhanced by a factor of μ/ε,μ>ε.Specifically, this research proposes a miniaturized wideband meander line antenna (MLA) using a magneto dielectric (MD) material for mobile device applications. The MD-laden MLA could achieve a substantial size reduction, with the physical dimension of 10 mm × 25 mm × 1 mm and the electrical size of 0.015λ × 0.039λ × 0.0015λ at 470 MHz. Furthermore, the antenna achieves a wide impedance bandwidth (|S11| < −6 dB) from 467–1012 MHz, covering the target operating band (470–960 MHz), and a high radiation efficiency in excess of 90%. The MD-laden MLA is thus suitable for the DVB-H/LTE13/GSM850/900 applications.The organization of the research is as follows: Section1 is the introduction. Section 2 details the design and evolution of the proposed antenna. Section 3 deals with the parametric study of the antenna, and Section 4 discusses the antenna prototype and experimental results. The concluding remarks are provided in Section 5.


## 2. Design of the Proposed Antenna

### 2.1. Magneto Dielectric (MD)

MD materials are synthesized materials that are normally realized by an accurate material property characterization method. Specifically, in an MD-loaded antenna, its response is governed by the frequency-dependent relative permittivity and permeability of the MD material. Both relative permittivity and permeability are complex numbers [19–24], which can be expressed as
(3)εr=ε′−jε″,μr=μ′−jμ″.This research used ECCOSORB MF-124 as the MD material. Figure1 illustrates the simulated real and imaginary (complex) permittivity and permeability of the MD material at the frequency range of 400–1000 MHz using CST Microwave Studio Suite [25]. The ECCOSORB MF-124 in the library of [25] has an average relative permittivity εr and permeability μr of 22.25−j0.4 and 7.05−j1.24, respectively. Table 1 tabulates the dielectric loss tangent tanδε=ε″/ε′ and magnetic loss tangent tanδμ=μ″/μ′ over the target operating band (470–960 MHz).Figure 1
Simulated relative permittivity and permeability of the experimental magneto dielectric substrate (ECCOSORB MF-124) relative to frequency (400–1000 MHz).Table 1
The simulated relative permittivity and permeability of ECCOSORB Mf-124 for various operating frequencies (470–960 MHz).
Operating band/(MHz)
ε′
tanδε
μ′
tanδμ
DVB-H/470
22.30
0.011
7.22
0.111
DVB-H/666
22.27
0.016
7.12
0.157
DVB-H/862
22.25
0.018
7.05
0.180
LTE13/766
22.24
0.020
6.99
0.199
GSM/850
22.23
0.020
6.98
0.202
GSM/900
22.22
0.021
6.96
0.211


### 2.2. Antenna Structure

In this research, the proposed meander line antenna (MLA) [26] attached the lower and upper ground planes of the folder-type chassis, connected electrically using grounding strip. Both ground planes were realized on FR4 substrates whose relative permittivity and loss tangent were 4.4 and 0.02, respectively. The magneto dielectric material (ECCOSORB MF-124) was subsequently loaded onto the MLA.Figure2 depicts the geometry of the proposed MLA in the absence of MD, which was modified from [7]. Accordingly, the initial parameters were as follows: 40 mm × 85 mm (L × W) for each of the ground planes; 25 mm × 10 mm equally for the physical dimension of the MD material (ECCOSORB MF-124) and the coupling element area (the MLA region), where the MD material sits on the MLA region; 155° for the folder-type chassis angle (β); and 1 mm for the width of the strip line for both the coupling element and the grounding strip.Figure 2
The geometry of the proposed meander line antenna (MLA) without MD (not to scale): (a) the dimensions and (b) the varied parameters (Jfc, N, and lG) for the optimal impedance bandwidth.
(a)
(b)Figure3 illustrates the simulated |S11| of the proposed meander line antenna (MLA) without MD relative to frequency (400–1200 MHz). The non-MD MLA achieved two distinct resonant frequencies at 500 MHz and 850 MHz. The impedance bandwidth (|S11| < −6 dB) of the first resonance was narrow (474–547 MHz), while that of the second resonance was very wide (690 MHz and beyond). In the figure, the impedance bandwidth of the non-MD MLA failed to meet the DVB-H/LTE13/GSM850/900 requirements (i.e., 470–960 MHz). Therefore, the antenna was further refined to achieve the target operating band. More specifically, a magneto dielectric substrate (ECCOSORB MF-124 MD) was loaded onto the MLA region to arrest the impedance bandwidth on the higher-frequency end. Figures 4 and 5, respectively, demonstrate the geometry and the simulated results of the meander line antenna with MD (i.e., the MD-laden MLA).Figure 3
Simulated |S11| of the proposed meander line antenna without MD (non-MD MLA).Figure 4
The geometry of the proposed meander line antenna (MLA) with MD (not to scale).Figure 5
Simulated |S11| of the proposed meander line antenna with MD (MD-laden MLA).Figure5 illustrates the simulated |S11| of the proposed meander line antenna (MLA) in the presence of MD. The MD-laden MLA achieved a broad impedance bandwidth covering the frequency range of 467–1017 MHz, rendering it appropriate for the DVB-H/LTE13/GSM850/900 applications.The optimal impedance bandwidth of the MD-laden MLA (Figure5) was achieved using surface current analysis by varying the junction between the feeding strip and the coupling element (Jfc), the number of meandering turns (N), and the length of the grounding strip (lG), in addition to the MD thickness.


### 2.3. Surface Current Distribution

The surface current analysis of the MD-laden MLA was simulated using CST Microwave Studio Suite at low (470 MHz), center (685 MHz), and high (900 MHz) frequencies of the target operating band. In Figure6(a), at low frequency, the simulated surface current distribution was bidirectional, similar to that of the conventional dipole antenna. More specifically, the current flowed in two directions. The first direction was from the feeding point to the coupling element, in which the current was initially strong (around the feeding point area) and dissipated as it travelled along the coupling element. The second direction travelled from the feeding point along the upper edge of the lower ground plane through to the grounding strip and the lower edge of the upper ground plane. Thus, the impedance bandwidth at low frequency was largely attributable to the feeding point and the grounding strip, as evidenced by the strong surface current.Figure 6
Simulated surface current of the MD-loaded MLA at (a) 470 MHz, (b) 685 MHz, and (c) 900 MHz.
(a)
470 MHz
(b)
685 MHz
(c)
900 MHzAt center (Figure6(b)) and high frequencies (Figure 6(c)), the simulated surface current was strong along the feeding strip and around the upper-left edge of the lower ground plane, resembling that of a dipole antenna along the y-axis. Thus, the feeding strip was mainly responsible for the impedance bandwidth at center and high frequencies.


## 2.1. Magneto Dielectric (MD)

MD materials are synthesized materials that are normally realized by an accurate material property characterization method. Specifically, in an MD-loaded antenna, its response is governed by the frequency-dependent relative permittivity and permeability of the MD material. Both relative permittivity and permeability are complex numbers [19–24], which can be expressed as
(3)εr=ε′−jε″,μr=μ′−jμ″.This research used ECCOSORB MF-124 as the MD material. Figure1 illustrates the simulated real and imaginary (complex) permittivity and permeability of the MD material at the frequency range of 400–1000 MHz using CST Microwave Studio Suite [25]. The ECCOSORB MF-124 in the library of [25] has an average relative permittivity εr and permeability μr of 22.25−j0.4 and 7.05−j1.24, respectively. Table 1 tabulates the dielectric loss tangent tanδε=ε″/ε′ and magnetic loss tangent tanδμ=μ″/μ′ over the target operating band (470–960 MHz).Figure 1
Simulated relative permittivity and permeability of the experimental magneto dielectric substrate (ECCOSORB MF-124) relative to frequency (400–1000 MHz).Table 1
The simulated relative permittivity and permeability of ECCOSORB Mf-124 for various operating frequencies (470–960 MHz).
Operating band/(MHz)
ε′
tanδε
μ′
tanδμ
DVB-H/470
22.30
0.011
7.22
0.111
DVB-H/666
22.27
0.016
7.12
0.157
DVB-H/862
22.25
0.018
7.05
0.180
LTE13/766
22.24
0.020
6.99
0.199
GSM/850
22.23
0.020
6.98
0.202
GSM/900
22.22
0.021
6.96
0.211


## 2.2. Antenna Structure

In this research, the proposed meander line antenna (MLA) [26] attached the lower and upper ground planes of the folder-type chassis, connected electrically using grounding strip. Both ground planes were realized on FR4 substrates whose relative permittivity and loss tangent were 4.4 and 0.02, respectively. The magneto dielectric material (ECCOSORB MF-124) was subsequently loaded onto the MLA.Figure2 depicts the geometry of the proposed MLA in the absence of MD, which was modified from [7]. Accordingly, the initial parameters were as follows: 40 mm × 85 mm (L × W) for each of the ground planes; 25 mm × 10 mm equally for the physical dimension of the MD material (ECCOSORB MF-124) and the coupling element area (the MLA region), where the MD material sits on the MLA region; 155° for the folder-type chassis angle (β); and 1 mm for the width of the strip line for both the coupling element and the grounding strip.Figure 2
The geometry of the proposed meander line antenna (MLA) without MD (not to scale): (a) the dimensions and (b) the varied parameters (Jfc, N, and lG) for the optimal impedance bandwidth.
(a)
(b)Figure3 illustrates the simulated |S11| of the proposed meander line antenna (MLA) without MD relative to frequency (400–1200 MHz). The non-MD MLA achieved two distinct resonant frequencies at 500 MHz and 850 MHz. The impedance bandwidth (|S11| < −6 dB) of the first resonance was narrow (474–547 MHz), while that of the second resonance was very wide (690 MHz and beyond). In the figure, the impedance bandwidth of the non-MD MLA failed to meet the DVB-H/LTE13/GSM850/900 requirements (i.e., 470–960 MHz). Therefore, the antenna was further refined to achieve the target operating band. More specifically, a magneto dielectric substrate (ECCOSORB MF-124 MD) was loaded onto the MLA region to arrest the impedance bandwidth on the higher-frequency end. Figures 4 and 5, respectively, demonstrate the geometry and the simulated results of the meander line antenna with MD (i.e., the MD-laden MLA).Figure 3
Simulated |S11| of the proposed meander line antenna without MD (non-MD MLA).Figure 4
The geometry of the proposed meander line antenna (MLA) with MD (not to scale).Figure 5
Simulated |S11| of the proposed meander line antenna with MD (MD-laden MLA).Figure5 illustrates the simulated |S11| of the proposed meander line antenna (MLA) in the presence of MD. The MD-laden MLA achieved a broad impedance bandwidth covering the frequency range of 467–1017 MHz, rendering it appropriate for the DVB-H/LTE13/GSM850/900 applications.The optimal impedance bandwidth of the MD-laden MLA (Figure5) was achieved using surface current analysis by varying the junction between the feeding strip and the coupling element (Jfc), the number of meandering turns (N), and the length of the grounding strip (lG), in addition to the MD thickness.


## 2.3. Surface Current Distribution

The surface current analysis of the MD-laden MLA was simulated using CST Microwave Studio Suite at low (470 MHz), center (685 MHz), and high (900 MHz) frequencies of the target operating band. In Figure6(a), at low frequency, the simulated surface current distribution was bidirectional, similar to that of the conventional dipole antenna. More specifically, the current flowed in two directions. The first direction was from the feeding point to the coupling element, in which the current was initially strong (around the feeding point area) and dissipated as it travelled along the coupling element. The second direction travelled from the feeding point along the upper edge of the lower ground plane through to the grounding strip and the lower edge of the upper ground plane. Thus, the impedance bandwidth at low frequency was largely attributable to the feeding point and the grounding strip, as evidenced by the strong surface current.Figure 6
Simulated surface current of the MD-loaded MLA at (a) 470 MHz, (b) 685 MHz, and (c) 900 MHz.
(a)
470 MHz
(b)
685 MHz
(c)
900 MHzAt center (Figure6(b)) and high frequencies (Figure 6(c)), the simulated surface current was strong along the feeding strip and around the upper-left edge of the lower ground plane, resembling that of a dipole antenna along the y-axis. Thus, the feeding strip was mainly responsible for the impedance bandwidth at center and high frequencies.


## 3. Parametric Study

The optimal MD-laden MLA was realized by varying the junction between the feeding strip and the coupling element (Jfc), the length of the grounding strip (lG), the number of meandering turns (N), and the MD thickness. The simulations were carried out using CST Microwave Studio Suite.As previously shown in Figures6(a)–6(c), the feeding strip played an important role in mediating the impedance bandwidth (|S11| < −6 dB) at low, center, and high frequencies. However, given the strip line width of 1 mm [7], the junction between the feeding strip and the coupling element (Jfc) was instead varied for the optimal joint location.Figure7 illustrates the simulated impedance bandwidth (|S11|) for variable joint locations (Jfc1–Jfc3), 2 mm apart. For Jfc1, the simulated |S11| was below −6 dB in the frequency ranges of 467–565 MHz and 601–1057 MHz, partially covering the target operating band (470–960 MHz). For Jfc2 and Jfc3, the simulated |S11| was below −6 dB from 467–1017 MHz and 466–870 MHz, respectively. Thus, Jfc2 was the optimal joint location because of the broader impedance bandwidth, covering the entire target operating band.Figure 7
Simulated |S11| of the proposed MD-loaded MLA for variable junctions between the feeding strip and the coupling element (Jfc).As shown in Figure6(a), the grounding strip played a crucial part in mediating the impedance bandwidth under the lower-frequency condition (470 MHz). Given the strip line width of 1 mm [7], the ground strip length (lG) was varied between 37, 40, and 43 mm. Figure 8 illustrates the simulated |S11| of the MD-laden MLA under variable lG. With lG = 37 mm, the simulated |S11| was below −6 dB from 473 to 1019 MHz. For lG = 40 and 43 mm, the simulated |S11| below −6 dB was realized in the frequency ranges of 467–1017 MHz and 462–866 MHz. Given the target operating band of 470–960 MHz, the frequency range (473–1019 MHz) of lG = 37 mm failed to cover the lower-end frequency of the target band. On the other hand, the frequency range associated with lG = 43 mm (462–866 MHz) was considerably short of the higher-end frequency of 960 MHz. Meanwhile, the frequency range of lG = 40 mm (467–1017 MHz) fully covered the target operating band.Figure 8
Simulated |S11| of the proposed MD-loaded MLA for variable grounding strip lengths (lG).In the MLA, the electrical size of the antenna could be enhanced while maintaining its physical size by varying the number of meandering turns (N). Figure 9 depicts the simulated |S11| of the MD-laden MLA for variable numbers of meandering turns (N): 4, 6, and 8 turns. With N = 4, the simulated |S11| below −6 dB encompassed the frequency ranges of 457–514 MHz and 677–1200 MHz, partially covering the target operating band. With N = 6 and 8, the simulated |S11| below −6 dB covered the frequency ranges of 467–1017 MHz and 483–882 MHz, respectively. Given the target operating band of 470–960 MHz, the optimal number of meandering turns (N) was 6.Figure 9
Simulated |S11| of the proposed MD-loaded MLA for variable numbers of meandering turns (N).Figure10 illustrates the simulated |S11| of the MD-laden MLA for variable MD thicknesses: 0.5, 1, and 1.5 mm. With 0.5 mm thickness, the simulated |S11| below −6 dB spanned the frequency ranges of 464–561 MHz and 600–970 MHz, partially covering the target operating band. With the thickness of 1 and 2 mm, the simulated |S11| below −6 dB covered the frequency ranges of 467–1017 MHz and 461–942 MHz, respectively. The optimal MD thickness of 1 mm exhibited the best impedance matching.Figure 10
Simulated |S11| of the proposed MD-loaded MLA for variable MD thicknesses.


## 4. Antenna Prototype and Measured Results

To verify the simulation results, a prototype antenna was fabricated and the experimental results were measured, as shown in Figure11. Figure 12 compares the simulated and experimental |S11| of the proposed MD-laden MLA, in which the corresponding impedance bandwidths (|S11| < −6 dB) covered the frequency ranges of 467–1017 MHz (74.12%) and 467 MHz–1012 MHz (73.6%). The simulation and experimental results were in good agreement.Figure 11
Photograph image of the MD-loaded MLA prototype.Figure 12
The simulated and measured |S11| of the MD-loaded MLA relative to frequency.The measurement setup uses identical transmitting and receiving antennas. The transmission between antennas was measured using network analyzer model Agilent E5061B carried out in the anechoic chamber. To evaluate the radiation characteristics, the radiation patterns were measured in three principal planes (xz, yz, and xy planes). The tested antennas are separated by the distance of the far-field region. Meanwhile, the bore sight gain was measured based on the Friis transmission formula that can be accomplished by swept frequency. Figures 13(a)–13(f), respectively, illustrate the simulated and measured xz, yz, and xy plane radiation patterns of the MD-laden MLA at 470, 666, 766, 850, 862, and 900 MHz. The proposed MD-laden antenna exhibited an omnidirectional radiation pattern over the experimental frequency band (470–900 MHz). The maximum simulated and experimental cross polarizations (x-pol) were approximately −10 dB for the xz, yz, and xy planes across the experimental frequency band. The simulated and measured half-power beamwidths (HPBW) of the yz and xy planes were 79.2°–88.2° and 73°–85.8°, respectively. Despite the cross polarization, the radiation pattern of the MD-laden antenna was omnidirectional, rendering it suitable for DVB-H/LTE13/GSM850/900 applications.Figure 13
The simulated and measured radiation patterns of the MD-loaded MLA: (a) 470 MHz, (b) 666 MHz, (c) 766 MHz, (d) 850 MHz, (e) 862 MHz, and (f) 900 MHz.
(a)
470 MHz
(b)
666 MHz
(c)
766 MHz
(d)
850 MHz
(e)
862 MHz
(f)
900 MHzIn Figure14, the minimum and maximum simulated gains were 0.86 and 1.65 dBi, which were agreeable with the corresponding measured gains of 0.65 and 1.54 dBi. The simulated radiation and total efficiencies of the MD-laden MLA were 91.7–95.6% and 69.9–85.5%, respectively. Table 2 tabulates the xy and yz plane HPBW, gains, radiation, and total efficiencies.Figure 14
The simulated radiation and total efficiencies and simulated and measured gains of the MD-loaded MLA.Table 2
The radiation performance of the proposed MD-loaded MLA.
Frequency (MHz)
Characteristic
HPBW ofxy plane (°)
HPBW ofyz plane (°)
Gain (dBi)
Radiation eff. (%)
Total eff. (%)
470
85.8
88.2
0.86
94.9
78.8
666
81.1
84.6
1.46
95.6
85.5
766
79.9
82.5
1.65
93.6
85.5
850
74.9
80.5
1.27
92.6
75.1
862
74.4
80.2
1.21
92.5
73.7
900
73
79.2
1.06
91.7
69.9


## 5. Conclusion

This research has proposed a miniaturized meander line antenna (MLA) using a magneto dielectric (MD) material for mobile device applications. The proposed MD-laden MLA attached the lower and upper ground planes of the folder-type chassis, connected electrically using a grounding strip. The MD material (ECCOSORB MF-124) was subsequently loaded onto the coupling element area of the MLA. The antenna was ultracompact (10 mm × 25 mm × 1 mm), with the electrical size of 0.015λ × 0.039λ × 0.0015λ at 470 MHz. The surface current distribution was simulated to determine the optimal parameters of the MD-laden MLA: the junction between the feeding strip and the coupling element, the length of the grounding strip, and the number of meandering turns, in addition to the MD thickness. To verify, a prototype MD-laden MLA was fabricated and the experiment was carried out. The measured impedance bandwidth (|S11| < −6 dB) covered the frequency range of 467–1012 MHz (73.6%), covering the entire target operating band (470–960 MHz). The radiation pattern was omnidirectional, with the antenna’s radiation efficiency in excess of 90%, rendering it appropriate for the DVB-H/LTE13/GSM850/900 applications. The principal advantage of the MD-laden MLA lies in its ultracompact size and thereby can be readily integrated in the small mobile devices.



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*Source: 4284520-2018-07-05.xml*