# A Pin-Loaded Microstrip Patch Antenna with the Ability to Suppress Surface Wave Excitation

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2 132 AlAjmi and Saed 2. ANALYSIS It is well known that a circular microstrip patch antenna of radius a operating at the dominant mode can be modeled as a ring of magnetic current. The surface wave excited by this ring is given by[7] Ez sw = A cos (ϕ) J 1 (β TMo a) H (2) 1 (β TMoρ) (1) where J 1 (.) is the derivative of the Bessel function of the first kind, H(2) 1 (.) the Hankel function of the second kind, and β TMo the wavenumber of the TM o surface wave mode, which is approximately equal to the wavenumber in air k o and is the only excited mode for the case of an electrically thin grounded substrate since it has a zero cutoff frequency. As shown in [7], in order to nullify the surface waves and lateralwaves,thetermj 1 (β TMoa) is set to zero, leading to a reduced surface wave condition given by k o a = x 11 (2) where x 11 = is the first root of the derivative of the Bessel function of the first kind. Meanwhile, it is well known that the resonance frequency of a circular patch operating at the dominant mode is given by ka = x 11 (3) where k is the wavenumber in the dielectric substrate. Except for the case of the air substrate, it is clear that both conditions in Eqs. (2) and (3) cannot be simultaneously satisfied. If we choose radius a to satisfy the reduced surface wave condition given by Eq. (2), the patch will not resonate at the desired frequency according to Eq. (3). As a result, the circular patch structure has to be modified in order to reduce the surface wave and have the desired resonance frequency at the same time. Figure 1. Geometry of the proposed antenna with a probe feed. In the present work, we introduce a circular patch with radius a chosen according to the reduced surface wave condition in Eq. (2). The patch is loaded with a single shorting pin that has a radius b a and is located at radial position r o. The pin-loaded circular patch antenna was rigorously analyzed in [12]. It was found that the modal equation for the normalized resonance frequency in the presence of the shorting pin is given by Y o (kb) 2 n=0 [ Y χ n J n [k (r o b)] J n (kr o ) n (ka) J n (ka) ] =0 (4) where J n (.) andy n (.) are the Bessel functions of the first and second kind, respectively. We solve this equation numerically to find the value of the normalized resonance frequency of the dominant mode ka, which in this case is a function of the pin position and radius and has a value greater than x 11.Solving

4 134 AlAjmi and Saed Figure 3. The back side of the fabricated design with a side view of its geometry (with the ground plane removed). The proposed design was simulated using ANSYS HFSS software and experimentally tested. As shown in Fig. 4, it is clear that the fabricated antenna has a resonance at the desired frequency and is in good agreement with simulation results. Figure 4. Reflection coefficient S 11 db of the proposed design. Simulation results (solid) and experimental results (dotted). The simulated and measured radiation patterns for the E-plane and H-plane are plotted in Fig. 5(a) and Fig. 5(b), respectively. As seen in these figures, the proposed design has a smooth radiation pattern with a discrimination against the lateral waves better than 20 db in the E-plane. However, the relative value of the lateral waves in the H-plane is about 15 db. This is because the design lacks symmetry about the y-axis. The front-to-back ratio in the E-plane and H-plane are 20 db and 18 db, respectively. It is worth noting here that although the substrate is inhomogeneous due to removing a portion of it, the circular patch antenna can still be modeled as a ring of magnetic current, making the same analysis derived for the homogeneous case still applicable to this case as well. Simulation results clearly indicated that having an inhomogeneous substrate with effective permittivity of 1.46 produces a radiation pattern that is extremely close to the radiation pattern obtained using a homogeneous substrate with actual permittivity of 1.46, as can be seen in Fig. 6.

5 Progress In Electromagnetics Research C, Vol. 62, (a) (b) Figure 5. Normalized radiation pattern for the proposed design. (a) E-plane; (b) H-plane. Solid line, simulated; dotted line, measured. Figure 6. Simulated radiation patterns (E-plane) for the proposed inhomogeneous design (solid) and the same design with homogeneous dielectric with permittivity of 1.46 (dotted). In order to illustrate the degree of surface and lateral wave suppression, a conventional unloaded circular patch resonating at the same frequency of the pin-loaded patch, and using the same substrate parameters, was simulated. The radiation patterns of the two designs are compared in Fig. 7, which clearly shows a substantial lateral wave reduction (more than 20 db for θ = π/2) by the proposed antenna. Next, simulation results were compared between the proposed design and the two-pin design introduced in [10]. Both designs showed a good reduction of surface waves and lateral waves as can be seen from the radiation pattern in Fig. 8. Gain, Directivity, Radiation efficiency, and bandwidth for both designs are provided in Table 1. It is clear that the proposed design has better gain and directivity than the two-pin design; moreover, radiation efficiency is higher by approximately 3.5%. This is mainly due to lowering the substrate permittivity and reducing the number of shorting pins, hence minimizing the losses.

6 136 AlAjmi and Saed Figure 7. Comparison between simulated radiation patterns of the pin loaded design and conventional unloaded circular patch (E-plane). Pin loaded (solid) and unloaded (dotted). Figure 8. Normalized radiation pattern (E-plane) for both designs. Single pin (solid) and two-pin (dotted). Table 1. Comparison between single-pin and two-pin designs. Gain (db) Directivity (db) Radiation Efficiency 10 db Bandwidth Single Pin % 1.01% Two Pins % 0.8%

7 Progress In Electromagnetics Research C, Vol. 62, CONCLUSION A simple design for a microstrip patch antenna with the capability of suppressing surface wave and lateral wave excitations was introduced. The design consists of a pin-loaded circular patch on a grounded inhomogeneous dielectric substrate. The suppression of surface waves and lateral waves at a specific resonance frequency was achieved by properly adjusting the patch radius, pin s position, and relative permittivity. We successfully demonstrated that partial removal of the dielectric substrate under the patch was a good solution to realize an effective relative permittivity equivalent to the theoretical value needed for achieving resonance frequency while suppressing the surface waves at the same time. Good agreement between simulated and experimental results clearly indicated that the radiation pattern of the proposed design had the capability of reducing surface waves and lateral waves. A comparison with an alternative design in the literature indicated that this new design was promising for the use in several applications, such as large patch antenna arrays with reduced mutual coupling and high-precision GPS receivers with reduced susceptibility to low-angle interference. REFERENCES 1. Lui, H., H. T. Hui, and M. S. Leong, A note on the mutual-coupling problems in transmitting and receiving antenna arrays, IEEE Antennas and Propagation Magazine, Vol. 51, No. 5, , Gupta, I. J. and A. A. Ksienski, Effect of mutual coupling on the performance of adaptive arrays, IEEE Transactions on Antennas and Propagation, Vol. 31, No. 5, , Dandekar, K. R., H. Ling, and G. Xu, Experimental study of mutual coupling compensation in smart antenna applications, IEEE Transactions on Wireless Communications, Vol. 1, No. 3, , Jedlicka, R. P., M. Poe, and K. Carver, Measured mutual coupling between microstrip antennas, IEEE Transactions on Antennas and Propagation, Vol. 29, No. 1, , Jan Kos, T., I. Markezic, and J. Pokrajcic, Effects of multipath reception on GPS positioning performance, Proc. ELMAR Conf., , Soubielle, J., I. Fijalkow, P. Duvaut, and A. Bibaut, GPS positioning in a multipath environment, IEEE Transactions on Signal Processing, Vol. 50, No. 1, , Jan Jackson, D. R., J. T. Williams, A. K. Bhattacharyya, R. L. Smith, S. J. Buchheit, and S. A. Long, Microstrip patch designs that do not excite surface waves, IEEE Transactions on Antennas and Propagation, Vol. 41, No. 8, , Aug Basilio, L. I., J. T. Williams, D. R. Jackson, and M. A. Khayat, A comparative study of a new GPS reduced-surface-wave antenna, IEEE Antennas and Wireless Propagation Letters, Vol. 4, , Basilio, L. I., R. L. Chen, J. T. Williams, and D. R. Jackson, A new planar dual-band GPS antenna designed for reduced susceptibility to low-angle multipath, IEEE Transactions on Antennas and Propagation, Vol. 55, No. 8, , Aug Mahmoud, S. F. and A. R. Al-Ajmi, A novel microstrip patch antenna with reduced surface wave excitation, Progress In Electromagnetics Research, Vol. 86, 71 86, Al-Ajmi, A. R. and S. F. Mahmoud, A single-feed circularly-polarized patch antenna for reduced surface wave applications, Microwave and Optical Technology Letters, Vol. 51, , Mahmoud, S. F. and R. K. Deep, Characteristics of a circular microstrip patch antenna with a shorting post, Journal of Electromagnetic Waves and Applications, Vol. 16, No. 2, , AlAjmi, A. R. and M. Saed, Simplified microstrip patch antenna design for reduced surface wave applications, 2014 IEEE Antennas and Propagation Society International Symposium (APSURSI), , 6 11 July 2014.

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