Health hazards are of great concern to cellular phone users. One important measure of the effect of electromagnetic radiation into human body is the specific absorption rate (SAR). If the human body is exposed to electromagnetic radiation, the amount of power absorbed by its tissues per mass volume should be limited and not to exceed a maximum SAR value. The cellular phone radiated through its antenna in all directions a certain amount of electromagnetic energy. This energy is concentrated in the near field region, where the user’s head is located during the call. The closest organ that is very sensitive to temperature change is the inner ear (it is just under the cellular phone antenna) where it contains a controlled viscosity liquid. In this paper we devise a two-antenna design to generate a low radiation in the direction of user’s head while using the cellular phone. By creating a null in the radiation pattern in the direction of user’s head we minimize the risk of hazards on the user. We optimize the null steering such that the device maintains a good connection to its base station and keeps the SAR level under the allowed maximum value using Lagrange method. To implement the analytical solution in real time simulated annealing (SA) algorithm is used. Results showed that we could steer the radiation pattern to optimize the radiated power in the direction of base station under the limited SAR level constraint. Simulated annealing algorithm is adopted to find the near optimal delay value to steer the antenna radiation pattern since it finds the global optimal point. It shows that a real time processing on the mobile unit can be performed to solve for the best null direction while the device is active.
The design of antennas for wireless personal communication systems is the subject of much research that is motivated by size, efficiency and health issues. In addition to maximizing the antenna radiated/accepted power of the handsets, the effects on the antenna performance from surrounding objects such as the human body must be considered. On the other hand the effect of radiation on the human body must be also considered. The closest human sensitive part to the handset in calling position is the human brain and ear in most mobile models or at least close enough to cause harmful effects. The tissues of these organs are mostly nerves plus liquid and hence, they carry electrical signals that might be affected by electromagnetic radiation from the wireless device [
The RF energy is scattered and attenuated as it propagates through the tissues of the head, and maximum energy absorption is expected in the more absorptive high water-content tissues near the surface of the head. Inner ear (that contains high water-content) is just under the mobile phone and it will be subject to the strongest radiation from the mobile unit as shown in
The electromagnetic (EM) penetration into human head causes permanent damage to tissues that are exposed to high density EM energy. This could cause some organs to malfunction or at least a disturbance in their functionality. The amount of exposed energy that can be handled by human tissues is measured by the specific absorption rate (SAR) that is given by [
where
The effect of radiation in the inner ear has two folds: the effect on the neural tissues (hearing) and the effect on the filling liquid (balance). The radiation devices must be compliant to the SAR standard IEEE C95.1. The IEEE exposure criteria are based on a determination that potentially harmful biological effects can occur at an SAR level of 4 W/kg as averaged over the whole-body. Appropriate safety factors were then added to arrive at limits for both whole-body exposure (0.4 W/kg for “controlled” or “occupational” exposure and 0.08 W/kg for “uncontrolled” or “general population” exposure, respectively) and for partial-body (localized SAR), this might occur in the head of the user of a hand-held cellular telephone [
The nature of the tissues in the inner ear makes its relative dielectric permittivity in the order of (41.5 + j17.98 at 900 MHz and 40.0 + j13.98 at 1.8 GHz) and its conductivity (0.97 at 900 MHz and 1.4 at 1.8 GHz). The problem with the inner ear arises from the fact that its inner liquid heat dissipation is not suited to dissipate heat generated from high radiation near the ear. This will maximize the risk of losing balance and/or changing the physical characteristics of the inner ear and hence, hearing impairment might occur [
This paper presents an antenna design to minimize radiation in the inner ear direction and at the same time produce an acceptable radiation pattern that can be used to communicate with base stations.
The proposed antenna system in this paper consists of ground plane and two H shaped PCB tracks on the other side that is using a coaxial feeder as shown in
reduce the SAR in the human head and maintains the communication with the base station.
The two antenna elements proposed here will have an H shape each as shown in
where
To steer the radiation pattern, a variable delay element is introduced in the feeding circuit of one of the elements. Assuming that it is required to steer the radiation pattern main beam in
where
And
The electric field to the base station direction is given by:
Then to find the optimal
where
For example if
value
elements at
The above example shows that there are several solutions for Equation (7). This is due to the existence of nulls in the dominator of the equation. As both
optimal
Direct maximization of Equation (7) yields to solution where the SAR in the dominator of the equation is very small and hence any value for the electric field in the base station direction will maximize the equation. This happens when
where
Solving for
And from the constraint:
From Equation (10) we find that:
The function
Solving for
And:
Note that the analytical solution is hard to get since Equations (10) and (11) are not linear. We need a numerical technique to find
An approximation of this cost function is given by:
The devised system need to know the base station direction as well as the SAR direction
The simulated annealing algorithm does not require derivative information; it needs to be supplied with a cost function for each trial solution it generates. The algorithm simulates a small random displacement of an atom that results in a change in energy. If the change in energy is negative, the energy state of the new configuration is lower and the new configuration is accepted. If the change in energy is positive, the new configuration has a higher energy state; however, it may still be accepted according to the Boltzmann probability factor given by:
where
function). The solution is started at a high “temperature”, where it has a high cost. Random perturbations are then made to the solution. If the cost is lower, the new solution is made the current solution; if it is higher, it may still be accepted according the probability given by the Boltzmann factor. The Boltzmann probability is compared to a random number drawn from a uniform distribution between 0 and 1; if the random number is smaller than the Boltzmann probability, the solution is accepted. This allows the algorithm to escape local minima. As the temperature is gradually lowered, the probability that a worse solution is accepted becomes smaller. Although the algorithm is not guaranteed to find the best optimum, it will often find near optimum and it is also a simple algorithm to implement.
The simulated annealing algorithm is given as in the following pseudo code:
In the following we use MatLab to calculate the optimal delay for the previous examples using the simulated annealing algorithm.
To demonstrate the performance of the devised system and to find the optimal delay value using simulated annealing algorithm we use MatLab software to find the optimal delay for the examples discussed in the previous section: In the first example where
Using simulated annealing we solve the same example as shown in
In the second example for
Using simulated annealing we solve the same example as shown in
The simulated annealing algorithm in both examples arrives in few iterations at the global optimal solution. Next we discuss the results obtained for the whole devised system.
The proposed system uses two H shaped patch antennas with delay element to steer the radiation pattern of the resultant array in a way that ensures the safety of the user and at the same time maintain the connectivity with
the cellular network. Maximizing the radiated power toward the base station while keeping the SAR level under the allowable maximum value is used as the optimization criteria. This problem is solved using Lagrange multiplier method and yields a numerically challenging solution; therefore, simulated annealing algorithm is used to find a sub-optimal solution that works fast in real time for the mobile unit. Numerical calculations showed good and efficient solutions for the optimal delay value when using the simulated annealing algorithm.
The design is simple and can be easily implemented on mobile units; it does not need large processing power from the mobile unit. It can be implemented in real time with minimum cost. Local field is also affects the user and needs to be investigated in future work.