Open Access

Performance analysis of E-shaped dual band antenna for wireless hand-held devices

Human-centric Computing and Information Sciences20155:6

DOI: 10.1186/s13673-015-0022-5

Received: 25 May 2014

Accepted: 26 January 2015

Published: 6 March 2015


Due to evolution in wireless applications, the high performance dual band handsets were blooming in the market. In this paper, a compact dual band E shaped planar inverted F antenna is presented, which is suitable for GSM application in handheld devices. Here, antenna is described for GSM (900 MHz and 1800 MHz), which covers (831 MHz – 973 MHz and 1700 MHz – 1918 MHz) 10 dB bandwidth. The designs and simulations are performed using Finite Difference Time Domain (FDTD) technique based General Electro Magnetic Simulator – Version 7.9 (GEMS-7.9). The performance analysis of E-shaped antenna also includes real world interaction between antenna element and Spherical human head model composed of three layers, skin, skull and brain. The simulated results including, S-Parameter, radiation pattern, current distributions and Specific absorption rate, thermal distributions have validated the proposed E shaped antenna design as useful for compact mobile phone devices with comparatively low average Specific Absorption Rate in market.


Dual band antenna GSM (Global System for Mobile communication) PIFA (Planar Inverted F-antenna) S - Parameter Specific Absorption Rate (SAR) Finite Difference Time Domain (FDTD) General Electro Magnetic Simulator (GEMS)


Over last decade, the evolution of wireless communication devices has increased rapidly to fulfill the requirement of high performance mobile portable devices which includes smart phones, Tablets, Notebooks etc. The handset antenna which, plays a transceiver role in mobile phone handset, should be optimized for better performance. In addition to the electrical requirements, the design of a handset antenna has to take into account the resulting exposure of the user. However, there has also been increase in concern regarding ill effects of Radio Frequency (RF) emitted by mobile phone antennas. These adverse health effects can be assessed by measuring power coupled to human tissue and thermal change, by using dosimetry called Specific Absorption Rate. The international commission on non-ionizing radiation protection and IEEE provides radiation level limit for the consumer products in free space.

Now a days variety of multiband internal antennas are reported, which are highly preferred for slim mobile phone due to their compactness [2,7]. The following literature survey shows the implication of dual band antenna in mobile phone communications. Dual band antenna (MIMO) can be used for LTE band (0.746 – 0.787 GHz) and the M-WiMAX (2.5 – 2.69 GHz). It consists of two identical elements, each of which is 15 × 13.25 mm2. The minimum separation between two elements is 0.5 mm [14]. Novel coplanar waveguide fed planar monopole antenna with dual-band operation for Wi-Fi and 4G LTE. It’s operating bands consists of 2.3 – 3.0 GHZ, 4.7 to 5.9 GHz are achieved by carefully optimizing the position and size of a smiling slot. Antenna is characterized in terms of return loss, radiation pattern, and measurement in anaerobic champers [16].

A connected E-shaped and U-shaped dual band patch antenna for operating frequencies 2.46 GHz and 4.9 GHz is designed and the bandwidth variation is analyzed by changing the height of substrate, bridge width etc. for different wireless LAN applications. The simulation studies are performed using GEMS simulation software [21]. A compact planar inverted E-shaped dual band antenna is designed over PCB board of 10 × 5 × 4 mm3 and good performance characteristics observed at 2.4 GHz and 5.5 GHz makes this antenna suitable for mobile device applications [22].

In many commercial wireless applications, PIFA and PMA are extensively used because it is simple, compact with good radiation pattern with sufficient Bandwidth. Normally, the electrical characteristics of handset antenna mainly depend on the ground plane on which the antenna is fabricated and also on the phone casing. The bandwidth of the antenna element increases, if the casing also resonates at operating frequency. Bandwidth and radiation characteristics make the 2G dual band antenna suitable to be used for Wi-Fi and 4G LTE applications in the 2.4 GHz to 2.7 GHz band and also 5.1 GHz to 5.875 GHz band [13]. Currently, GSM (Global System for Mobile Communication) is a standard protocol for digital mobile communication used for phone calls and transmission of text messages, which is addressed in this paper [3].

In this paper, E shaped PIFA with dual band 900/1800 MHz has been introduced [2]. The design considerations and simulated results for the Proposed E shaped antenna such as, return loss, radiation pattern and current distributions were also analyzed. Further, the performance analysis of E shaped antenna is described by considering the real world environment in which, mobile phone is expected to operate. The near field environment are created with mobile phone model which includes antenna element, battery, exterior plastic shell and three layered human head model. Simulation and performance analysis of proposed E shaped antenna are performed using FDTD based GEMS simulator [11].

Section Numerical modelling includes the modeling technique and the modeling of antenna and near field interactive devices. Section Performance analysis of antenna in free space involves parametric analysis of E shaped antenna and current distributions in free space. Section Influence of near field on antenna performance discusses the influence of near field environment when antenna is in close proximity to a human head model. Finally, section Conclusion provides conclusion.

Numerical modelling

Maxwell’s equations can be solved in the time whereas for frequency domain many EM simulation techniques available using FDTD [17,18]. If the problem size grows, FDTD approach provides excellent scaling and the Broadband output can be obtaining using time domain approach. FDTD leads other computational methods say Finite Element method, Method of Moments etc. when the number of size of computational space increases. For studying, biological effects of Electromagnetic radiation from Wireless devices FDTD is better, which is the technique employed in our work. Further, FDTD also provides accurate results of the filed penetration into biological tissues.

Numerical formulation using FD-TD technique

In this work, finite difference time domain technique is used throughout the work, which can be formulated using Maxwell’s curl equations,
$$ \begin{array}{l}\nabla \times \mathrm{E}\left(\mathrm{r},\mathrm{t}\right)=-\partial \mathrm{B}\left(\mathrm{r},\mathrm{t}\right)/\partial \mathrm{t}\\ {}\end{array} $$
$$ \nabla \times \mathrm{H}\left(\mathrm{r},\mathrm{t}\right)=\mathrm{J}\left(\mathrm{r},\mathrm{t}\right)+\partial \mathrm{D}\left(\mathrm{r},\mathrm{t}\right)/\partial \mathrm{t} $$

Where, the equation involves electric field strength (E) and electric flux density (D), magnetic field strength (H) and magnetic flux density (B), electric current density (J) and electric charge density (ρe). Current density produces magnetic field around it. From the curl equation, we observed that the time derivative of the E-field depends on the change of the H-field across space. Hence, the value of the E-field can be computed if we know its previous value and the space-derivative of the H-field, which in turn is time-stepped and if initial field value, initial conditions and boundary conditions are known [4]. The FDTD technique divides the computational space into a Cartesian coordinate’s grid of voxels and then allocates the components of the electric and magnetic fields as every E field is surrounded by H field and vice versa. This scheme is known as Yee lattice. If, the current changes over time, alternating magnetic field causes alternating electric field, which in turn causes another magnetic field, results in the creation of propagating electromagnetic wave of higher frequency.

There are certain commercially available EM simulators (say SEMCADx, GEMS etc.) which employ FDTD technique for computation. The computational performance of SEMCADx is as follows (Min grid size (mm) is 300, Computational domain is 14.2 M cells; Simulation time is <15 min, Simulation Speed is 300 M cells/s [19,20].

A FDTD based electromagnetic simulator (GEMS version −7.9) is used throughout the work. The FDTD modeling including head and hand model consists of 739675 cells. The convergence of the simulated solutions has been checked for every 100 time steps and the solutions are set to be converged for S- parameter calculations.

E - shaped antenna design

The configuration of proposed E shaped antenna is shown in Figure 1. In general, traditional PIFA [1,4] is composed of metal strip, feeding line and shorting structure. The Antenna element has rectangular ground plane (52 mm × 32 mm). The radiating element composed of feed line (52 mm × 12 mm), patch S1 (20 mm × 8 mm), patch S2 (12 mm × 20 mm), patch S3 (12mm × 20 mm). There is free space (height = 1.8 mm) between the antenna top plate and the substrate.
Figure 1

Structure of proposed compact dual band E shaped antenna.

The substrate material used is of thickness t = 2 mm. The dimension of the shorting plate (S4) is 10 mm × 1.8 mm. The distance between the feeding and the shorting plate is 27 mm [6]. The radiating E element is modeled as perfect electric conductor. The excitation port is modeled as lumped port with internal resistance being 50 Ω. Maximum working frequency of 3 GHz is allowed for performance analysis of radiating antenna.

Handheld device model and user head model

In order to meet the expected handset performance in this work, we not only contend with designing antennas but also in need mitigating the RF interaction with the near field environment, which influences the E-shaped antenna performance. Figure 2 shows the hand held device model which is in close proximity to spherical human head model.
Figure 2

Mobile handset interactions with layered spherical head model.

The device composed of E shaped antenna, battery (20 mm × 25 m × 2.5 mm) and plastic cover (80 mm × 45 mm × 5 mm) which, encloses all the components. The dielectric constant used for the plastic cover is 4.4. The antenna and battery were modeled as metal materials [10]. The spherical head model consisting of three layers skin, skull and brain (as shown in Table 1) [8] is selected for the simulation study. The conductivity, permittivity and density of tissues which is a function of frequency (as shown in Table: 1) are an important factor in power coupled to human tissues [12]. The phone model is placed at three different distances from the side of the head and simulated results were compared for analysis.
Table 1

Properties of human tissues


Brain diameter (mm)

Skull thickness (mm)

Skin thickness (mm)

Human adult




Tissue density (Kg/m3)




Operating frequency

0.9 GHz

1.8 GHz

0.9 GHz

1.8 GHz

0.9 GHz

1.8 GHz















Performance analysis of antenna in free space

The design objective is a dual band portable handheld device antenna suitable for 900/1800 MHz GSM application. We optimize the design through simulation using General Electro – Magnetic Simulator (GEMS), a commercial software package based on Finite Difference Time Domain(FDTD) technique [10].

Current distributions

While using the handset, the pulsed current flows from the battery to radiating element. This excitation gives rise to magnetic field around the handset.

Figure 3 shows the current distributions in ground plane at 900 MHz and 1800 MHz respectively. The excitation of feeding port at right end of the E - shaped Antenna shows high magnitude surface current at the proximity of feeding point and becomes almost zero near the open end. This coupled current also affects the antenna performance by inducing heat around the handset device.
Figure 3

(a) & (b): current distribution in ground plane for 0.9 GHz, 1.8 GHz respectively. Surface current in the ground plane is higher near feeding point.

Figure 4 shows the current distributions in radiating E-shaped radiating element at 900 MHz and 1800 MHz respectively. The excitation of feeding port induces high magnitude surface current in proximity of feed but weak or null current in the area far from the feed [5]. Further, the weak surface current on the ground plane ensures the better antenna performance by reducing the specific absorption rate (SAR), where power coupled to human tissues when antenna is in proximity to users head. Since, the mobile handset is usually held close to the human body during the operation, it is necessary to analyze the current distribution as a function of distance (in section Influence of near field on antenna performance).
Figure 4

(a) & (b): current distribution in E shaped antenna element at 900 MHz, 1800 MHz respectively. Lower surface currents other than feeding point ultimately reduces power coupled.

S- parameter

The simulated S parameter and smith chart representation for the dual band E shaped antenna is shown in Figure 5. Simulations were carried out using GEMS, a FDTD based simulator [7]. The results indicate the return loss better than 25 dB which can be seen above. It is observed that the 10 dB bandwidth covers 831 MHz – 973 MHz and 1700 MHz – 1918 MHz. This satisfies the required bandwidth for GSM 850/900/1800 MHz when compared to other proposed antennas as in [2,7].
Figure 5

Return loss of dual band E shaped antenna. E- Shaped antenna showing two resonant modes at 0.9 GHz and 1.8 GHz operating frequency.

Bandwidth is one of the very important characteristics which make the 2G dual band antenna suitable to be used for 4G LTE applications. For example, the 10 dB bandwidth of proposed antenna covers LTE band-19 of NTT Docomo (Japan) which has uplink of (830–845) MHz and downlink of (875–890) MHz and LTE band-3 of NTT Docomo (Japan) has uplink of (1764–1784) MHz and downlink of (1859–1879) MHz. Similarly, FAReastone (Taiwan) covers LTE band-3 with uplink (1735–1755) MHz and downlink of (1830–1850) MHz. Hence, the proposed antenna can also be employed for 4G LTE applications [15].

3D- radiation pattern

Figures 6 and 7, represents the simulated 3D gain radiation pattern and polar plot of dual band E-shaped antenna gain at operating frequencies 900 MHz and 1800 MHz. Figure 6a; Figure 7a shows that, the radiation pattern were symmetrical about broad side direction
Figure 6

Radiation pattern at 900 MHz. (a): Gain radiation pattern of antenna, (b): Altered Gain radiation pattern due to human head interaction, (c): Polar plot of Gain pattern.
Figure 7

Radiation pattern at 1800 MHz. (a): Gain radiation pattern of antenna, (b): Altered Gain radiation pattern due to human head interaction, (c): Polar plot of Gain pattern.

The antenna radiates possibly in all direction to cover the range. However, it radiates more in positive Z - direction, since reflected by the ground plane. The user head in Z direction acts as obstacle and absorbs certain amount of radiated power in Z direction thereby decreasing the efficient performance of E- antenna. Figures 6(b) and 7(b) show the altered radiation pattern due to human head interaction which absorbs certain amount of power radiated by phone, there by impacting mobile phone E-antenna performance [9].

Influence of near field on antenna performance

Specific Absorption Rate is the subject of strict regulation for health protection. This section focuses to describe the impact of human head model interaction with mobile phone handset [8].

Specific absorption rate

SAR is the rate at which the RF energies are absorbed by a given mass of material, as evidenced by a rise in material temperature. The SAR distribution on head model is calculated by assessing the E field coupled density (ρ) of the brain tissue layers and its conductivity (σ).
$$ \mathrm{S}\mathrm{A}\mathrm{R}=\left(\upsigma {\left|\mathrm{E}\right|}^{\mathbf{2}}\right)/\left(\uprho \right) $$

SAR is averaged over tissue masses of 1 or 10 g tissue [5]. The human body which is a good conductor acts like a receiving antenna, absorbs the EM energy from the space. The tissues which are composed of different salts and organic compounds owns its permittivity and conductivity which are also function of frequency, impacts the power coupled to tissues. The internal coupled fields can be calculated using numerical method based computational technique (FDTD), which gives information regarding realistic RF exposure.

SAR analysis and discussions

The SAR values were expressed in terms of Watts per Kilogram over 1 g and 10 g of the head tissues. Normally the distance between the head and the handset is around 10 mm, during operation. Here, the power coupled to the head tissue is noted for three different distances i.e., d = 0 mm (handset pressed to user head), d = 5 mm and d = 10 mm. Table 2 give the SAR value for Spherical head model of user in free space for 900 MHz/1800 MHz.
Table 2

SAR averaged over 1 g and 10 g tissue when exposed to handheld device


Placement of mobile handset device with respect to head model

Placed near (d = 0 mm)

d = 5 mm

d = 10 mm

0.9 GHz

1.8 GHz

0.9 GHz

1.8 GHz

0.9 GHz

1.8 GHz

1-g SAR (W/Kg)







10-g SAR (W/Kg)







Max SAR (W/Kg)







Average SAR (W/Kg)







The results indicate that, power coupled to the human tissue gets decayed with increase in distance from handset. SAR values are well below the SAR limit which substantiates the suitability of antenna design for wireless handheld device application, when handset is placed at 10 mm from the head, which is a normal placing position of phone during operation.

From the Figures 8 and 9, it is observed that more current is distributed in the side of the head and get fluctuates towards other side and is almost null current recorded on the other side of head. Similar case is observed in 3D- SAR distribution. The red colour (hot spot) in the figure indicates higher value of power coupled, where mobile handset is placed nearer. In general, the SAR in the head tissue decreases as the distance from the head to the handset increases.
Figure 8

SAR, current distribution at 0.9 GHz. a) At d=0 mm, b) at d=5 mm, c) d=10 mm.
Figure 9

SAR, current distribution at 1.8 GHz. a) At d=0 mm, b) at d=5 mm, c) d=10 mm.

Thermal changes

Thermal effects are mainly due to RF power absorbed by human tissues. Figures 10 and 11 show the 3D- thermal distributions in human brain tissue at 900 MHz/1800 MHz operating frequency. Heat induced in the tissue might affect the proper functioning of cells or affect the cell metabolism [12]. However, the constant blood flow will maintain body temperature in equilibrium state. From the Figure 10 and Figure 11, it can be seen that, the brain side where a cell phone is used receives significantly higher dose of radiation when compared to other side. The variation in the thermal distribution in different human tissues is due to their conductivity and permittivity.
Figure 10

Thermal distribution at 0.9 GHz [ a) at d = 0 mm, b) at d = 5 mm, c) at d = 10 mm].
Figure 11

Thermal distributions at 1.8 GHz [ a) at d = 0 mm, b) at d = 5 mm, c) at d = 10 mm].

Figure 12a shows the graphical representations of variation in coupled power due to different distance of handset interaction for 0.9GHz frequency. It may be noted that, both the 1g SAR and 10 g SAR are higher for the mobile phone antenna placed very nearer to head model and SAR value eventually decreases when the distance between antenna and head increases.
Figure 12

Graphical representation indicates higher SAR which is noted when interaction distance between mobile phone antenna and head decreases. a: Graphical representation of 1 g and 10 g SAR at 0.9 GHz. b: Graphical representation of 1 g and 10 g SAR at 1.8 GHz.

From Figure 12b, it is observed that, for 1800 MHz frequency, the 1 g SAR and 10d SAR are more than three times higher than SAR values observed at 900 MHz operating frequency. The values used for comparison and analysis may be little bit inaccurate due to modeling of human head as layered spherical model which is far different from real time EM exposure to real human. However in this study, for both 0.9 GHz and 1.8 GHz frequencies, 1 g and 10 g SAR values get decreased with increased separation between mobile and head model.


In this paper, a compact dual band E shaped antenna with comparatively low average SAR and better Bandwidth is introduced for GSM application in handheld devices. Simulations were performed for different scenarios. The antenna in free space and the handset device placed close to a user head model. The return loss was better than 25 dB at 900 MHz and 1800 MHz with bandwidth of 142 MHz and 218 MHz in the lower band and in the upper band respectively as compared to existing antennas. The 10 dB bandwidth of proposed E shaped antenna covers GSM 850/ GSM 900/ GSM 1800 bands. Further, the average specific absorption rate, due to human interaction with handset is well below the specified limit. The obtained results, including surface current distributions, S-parameters, radiation patterns, SAR values, have demonstrated that the proposed antenna design is suitable for GSM and 4G network and is able to achieve good performance for real world scenario.



Authors would like to thank Doctors of various hospitals for their valuable explanations concerning human tissue property.

Authors’ Affiliations

Assistant Director (Administration), All India Council for Technical Education
Post Graduate Engineer, Anna University (Regional Centre Coimbatore)


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© Rajagopal and Rajasekaran; licensee Springer. 2015

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