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

1. IntroductionThe 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 (470-862MHz), LTE13 (746-787MHz), 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 ([[lambda].sub.0] = 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, [absolute value of [S.sub.11]] 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 [[absolute value of [S.sub.11]] < -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 x 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

BW = 96[square root of ([mu]/[epsilon]) . (t/[[lambda].sub.0])/[square root of 2] (4 + 17 [square root of [mu][epsilon]]). (1)

In (1), the miniaturization is governed by a factor that suppresses the wavelength by a factor of [square root of [mu][epsilon]]. The relationship between the permittivity and permeability of an MD material and the resonant wavelength is given by

[[lambda].sub.resonnant] = [[lambda].sub.0]/[square root of [mu][epsilon]], (2)

where [[lambda].sub.0] is the free space wavelength. The impedance bandwidth of the antenna can be enhanced by a factor of [square root of [mu]/[epsilon]], ([mu] > [epsilon]).

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 x 25 mm x 1 mm and the electrical size of 0.015[lambda] x 0.039[lambda] x 0.0015[lambda] at 470 MHz. Furthermore, the antenna achieves a wide impedance bandwidth ([absolute value of [S.sub.11]] < -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: Section 1 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

[[epsilon].sub.r] = [epsilon]' - j[epsilon]", [[mu].sub.r] = [mu]' - j[mu]" (3)

This research used ECCOSORB MF-124 as the MD material. Figure 1 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 ([[epsilon].sub.r]) and permeability ([[mu].sub.r]) of 22.25-j0.4 and 7.05-j1.24, respectively. Table 1 tabulates the dielectric loss tangent (tan [[delta].sub.[epsilon]] = [epsilon]"/ [epsilon]') and magnetic loss tangent (tan [[delta].sub.[mu]] = [mu]"/[mu]') over the target operating band (470-960 MHz).

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.

Figure 2 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 x 85 mm (L x W) for each of the ground planes; 25 mm x 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[degrees] for the folder-type chassis angle ([beta]); and 1 mm for the width of the strip line for both the coupling element and the grounding strip.

Figure 3 illustrates the simulated [[absolute value of [S.sub.11]] 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 ([[absolute value of [S.sub.11]] < -6dB) 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 5 illustrates the simulated [absolute value of [S.sub.11]] 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 467-1017MHz, rendering it appropriate for the DVB-H/LTE13/GSM850/900 applications.

The optimal impedance bandwidth of the MD-laden MLA (Figure 5) was achieved using surface current analysis by varying the junction between the feeding strip and the coupling element ([J.sub.fc]), the number of meandering turns (N), and the length of the grounding strip ([l.sub.G]), 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 Figure 6(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.

At center (Figure 6(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 ([J.sub.fc]), the length of the grounding strip ([l.sub.G]), the number of meandering turns (N), and the MD thickness. The simulations were carried out using CST Microwave Studio Suite.

As previously shown in Figures 6(a)-6(c), the feeding strip played an important role in mediating the impedance bandwidth ([[absolute value of [S.sub.11]] < -6dB) at low, center, and high frequencies. However, given the strip line width of 1mm [7], the junction between the feeding strip and the coupling element ([J.sub.fc]) was instead varied for the optimal joint location.

Figure 7 illustrates the simulated impedance bandwidth ([absolute value of [S.sub.11]]) for variable joint locations ([J.sub.fc]1-[J.sub.fc3]), 2 mm apart. For [J.sub.fc1], the simulated [absolute value of [S.sub.11]] was below -6dB in the frequency ranges of 467-565 MHz and 601-1057MHz, partially covering the target operating band (470-960 MHz). For [J.sub.fc2] and [J.sub.fc3], the simulated [[absolute value of [S.sub.11]] was below -6 dB from 467-1017 MHz and 466-870 MHz, respectively. Thus, [J.sub.fc2] was the optimal joint location because of the broader impedance bandwidth, covering the entire target operating band.

As shown in Figure 6(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 ([l.sub.G]) was varied between 37, 40, and 43 mm. Figure 8 illustrates the simulated [absolute value of [S.sub.11]] of the MD-laden MLA under variable [l.sub.G]. With [l.sub.G] = 37mm, the simulated [absolute value of [S.sub.11]] was below -6dB from 473 to 1019 MHz. For [l.sub.G] = 40 and 43 mm, the simulated [[absolute value of [S.sub.11]] below -6 dB was realized in the frequency ranges of 467-1017MHz and 462-866 MHz. Given the target operating band of 470-960 MHz, the frequency range (473-1019 MHz) of [l.sub.G] = 37 mm failed to cover the lower-end frequency of the target band. On the other hand, the frequency range associated with [l.sub.G] = 43 mm (462-866 MHz) was considerably short of the higher-end frequency of 960 MHz. Meanwhile, the frequency range of [l.sub.G] = 40mm (467-1017MHz) fully covered the target operating band.

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 [absolute value of [S.sub.11]] of the MD-laden MLA for variable numbers of meandering turns (N): 4, 6, and 8 turns. With N= 4, the simulated [absolute value of [S.sub.11]] below -6dB 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 [absolute value of [S.sub.11]] below -6 dB covered the frequency ranges of 4671017 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 10 illustrates the simulated [absolute value of [S.sub.11]] of the MD-laden MLA for variable MD thicknesses: 0.5, 1, and 1.5 mm. With 0.5mm thickness, the simulated [absolute value of [S.sub.11]] below -6dB spanned the frequency ranges of 464-561 MHz and 600-970 MHz, partially covering the target operating band. With the thickness of 1 and 2mm, the simulated [absolute value of [S.sub.11]] below -6dB 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.

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 Figure 11. Figure 12 compares the simulated and experimental [absolute value of [S.sub.11]] of the proposed MD-laden MLA, in which the corresponding impedance bandwidths ([absolute value of [S.sub.11]] < -6dB) covered the frequency ranges of 467-1017MHz (74.12%) and 467MHz-1012MHz (73.6%). The simulation and experimental results were in good agreement.

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[degrees]-88.2[degrees] and 73[degrees]-85.8[degrees], 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.

In Figure 14, 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 MDladen 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.

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 x 25 mm x 1 mm), with the electrical size of 0.015[lambda] x 0.039[lambda] x 0.0015[lambda] 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 ([absolute value of [S.sub.11]] < -6dB) covered the frequency range of 4671012 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.

Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The authors declare that there is no conflict of interests regarding the publication of this paper.

Acknowledgments

This work has been supported by the Thailand Research Fund through the Research Grant for New Scholar Program under Grant no. MRG6080146. The authors acknowledge with gratefulness the resources provided by the Institute of Research and Development, Rajamangala University of Technology Rattanakosin.

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https://doi.org/10.1155/2018/4284520

Bancha Luadang, (1) Rewat Senathong, (2) and Chuwong Phongcharoenpanich, (2)

(1) Department of Instrumentation Engineering, Faculty of Engineering, Rajamangala University of Technology Rattanakosin, Salaya, Thailand

(2) Department of Telecommunications Engineering, Faculty of Engineering, King Mongkut's Institute of Technology Ladkrabang, Bangkok, Thailand

Correspondence should be addressed to Bancha Luadang; bancha.lua@rmutr.ac.th

Received 1 March 2018; Revised 20 May 2018; Accepted 26 May 2018; Published 5 July 2018

Academic Editor: Paolo Baccarelli

Caption: Figure 1: Simulated relative permittivity and permeability of the experimental magneto dielectric substrate (ECCOSORB MF-124) relative to frequency (400-1000 MHz).

Caption: Figure 2: The geometry of the proposed meander line antenna (MLA) without MD (not to scale): (a) the dimensions and (b) the varied parameters ([J.sub.fc], N, and [l.sub.G]) for the optimal impedance bandwidth.

Caption: Figure 3: Simulated [absolute value of [S.sub.11]] of the proposed meander line antenna without MD (non-MD MLA).

Caption: Figure 4: The geometry of the proposed meander line antenna (MLA) with MD (not to scale).

Caption: Figure 5: Simulated [[absolute value of [S.sub.11]] of the proposed meander line antenna with MD (MD-laden MLA).

Caption: Figure 6: Simulated surface current of the MD-loaded MLA at (a) 470 MHz, (b) 685 MHz, and (c) 900 MHz.

Caption: Figure 7: Simulated [[absolute value of [S.sub.11]] of the proposed MD-loaded MLA for variable junctions between the feeding strip and the coupling element ([J.sub.fc]).

Caption: Figure 8: Simulated [[absolute value of [S.sub.11]] of the proposed MD-loaded MLA for variable grounding strip lengths ([l.sub.G]).

Caption: Figure 9: Simulated [[absolute value of [S.sub.11]] of the proposed MD-loaded MLA for variable numbers of meandering turns (N).

Caption: Figure 10: Simulated [[absolute value of [S.sub.11]] of the proposed MD-loaded MLA for variable MD thicknesses.

Caption: Figure 11: Photograph image of the MD-loaded MLA prototype.

Caption: Figure 12: The simulated and measured [[absolute value of [S.sub.11]] of the MD-loaded MLA relative to frequency.

Caption: 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.

Caption: Figure 14: The simulated radiation and total efficiencies and simulated and measured gains of the MD-loaded MLA.

Table 1: The simulated relative permittivity and permeability of ECCOSORB Mf-124 for various operating frequencies (470-960 MHz). Operating [epsilon]' tan [mu]' tan band/(MHz) [[delta].sub.e] [[delta].sub.[mu]] 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 Table 2: The radiation performance of the proposed MD-loaded MLA. Characteristic Frequency HPBW of x HPBW of Gain (MHz) y plane ([degrees]) yz plane ([degrees]) (dBi) 470 85.8 88.2 0.86 666 81.1 84.6 1.46 766 79.9 82.5 1.65 850 74.9 80.5 1.27 862 74.4 80.2 1.21 900 73 79.2 1.06 Characteristic Frequency Radiation Total eff. (%) (MHz) eff. (%) 470 94.9 78.8 666 95.6 85.5 766 93.6 85.5 850 92.6 75.1 862 92.5 73.7 900 91.7 69.9

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Title Annotation: | Research Article |
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Author: | Luadang, Bancha; Senathong, Rewat; Phongcharoenpanich, Chuwong |

Publication: | International Journal of Antennas and Propagation |

Date: | Jan 1, 2018 |

Words: | 4241 |

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