SINGLE-FEED TRIPLE BAND CIRCULARLY POLAR- IZED SPIDRON FRACTAL SLOT ANTENNA

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Progress In Electromagnetics Research, Vol. 143, 7 1, 13 SINGLE-FEED TRIPLE BAND CIRCULARLY POLAR- IZED SPIDRON FRACTAL SLOT ANTENNA Thuy Nguyen Thi, Son Trinh-Van, Gina Kwon, and Keum Cheol Hwang * Division of Electronics and Electrical Engineering, Dongguk University-Seoul, 6, Pil-dong 3-ga, Chung-gu, Seoul 1-715, South Korea Abstract In this paper, the design of a single-feed triple-band circularly polarized Spidron fractal slot antenna is presented. The proposed antenna is composed of a Spidron fractal slot, a Z-shaped slit, and two L-shaped slits to realize triple-band circular polarization operation. A simple 5 Ω microstrip line is utilized to feed the proposed antenna. A conducting reflector is also used to reduce back radiation, thereby enhancing the forward antenna gain. The proposed antenna has total dimensions of 4.7 mm 4.7 mm 18.5 mm (.4λ.4λ.19λ) and was fabricated and tested. The experimental results show that the proposed antenna has 1 db reflection coefficient bandwidths from.76 GHz to 3.13 GHz and from 3.56 GHz to 6. GHz. The measured 3 db axial ratio bandwidths are.8% (3.4 3.11 GHz) for the lower band, 7.15% (4.18 4.49 GHz) for the middle band, and.6% (4.93 5.6 GHz) for the upper band. The peak gains within the 1 db reflection coefficient bandwidths are 3.41 dbic and 6.9 dbic, respectively. 1. INTRODUCTION Circularly polarized (CP) antennas have been widely used in wireless communication systems because of their ability to mitigate propagation effects, reduce polarization mismatch, and enlarge system capability [1 11]. The rapid growth of modern wireless systems has also increased the demand for compact antennas with multiband resonance. With advantages such as low profile, light weight, and ease of integration with active devices, microstrip antennas Received 5 September 13, Accepted 16 October 13, Scheduled 1 November 13 * Corresponding author: Keum Cheol Hwang (kchwang@dongguk.edu).

8 Thi et al. have been a suitable choice for many multi-band CP applications. Various types of microstrip antennas for dual band CP operation have been reported [1 15]. However, CP antennas designed with triple-band operation have attracted very little attention compared to the dual band CP antennas. Recently, several CP antennas employing various techniques to realize triple-band CP operation have been presented [16 1]. In [16 18], the proposed triple-band CP antennas utilized the concept of stacked patches fed by a coaxial probe. A multi-layered Giuseppe Peano fractal antenna with an electromagnetic coupled microstrip feeder was proposed to realize triple-band CP operation in [19]. Although, in general, multi-layered antenna structures make it easier to achieve multi-band CP operation than others, their fabrication is very complex. In order to mitigate these fabrication difficulties, triple-band CP antennas with a single dielectric substrate have been studied. A single-layer triple-band CP antenna which integrated two nonconcentric annular slots and an inverted h-shaped microstrip feed line was proposed in []. A maximum 3 db axial ratio (AR) bandwidth of 85 MHz was achieved in the middle band. In another study, a single-layer triple-band CP antenna design using two pairs of L-shaped slits was investigated [1], but the 3 db AR bandwidths were no more than MHz. These antennas do have simple structures, but the 3 db AR bandwidths are relatively narrow. Therefore, designing triple-band CP antennas with improved AR bandwidth continues to be engineering challenge. In this paper, we propose a CP Spidron fractal slot antenna with a single microstrip feed for triple-band applications. Other examples of fractal antennas for ultra-wideband applications can be found in [, 3]. The antenna structure is composed of a 5 Ω microstrip line, a conducting reflector, and a substrate, which includes a Spidron fractal slot, a Z-shaped slit, and two L-shaped slits to achieve the triple-band CP operation. The proposed antenna was optimized, fabricated and tested. Sections and 3 describe the detailed antenna configuration and parametric study for major variables, respectively. Section 4 presents the experimental results and discussion; finally, concluding remarks are summarized in Section 5.. ANTENNA GEOMETRY Figure 1 illustrates the geometry of the proposed triple-band CP Spidron fractal slot antenna. The antenna structure is composed of a dielectric substrate, a 5 Ω microstrip feeding line, a ground plane, and a conducting reflector. The antenna is designed on a Taconic RF-35 substrate with a relative dielectric constant of 3.5, thickness of

Progress In Electromagnetics Research, Vol. 143, 13 9 g w d 6 α f s Spidron fractal slot w p 1 d 7 S3 d 3 d 4 d 5 S g h y y 1 x 1 S1 d 1 f w f h 5 Ω microstrip feeding line z φ x d Ground plane SMA connector RF-35 t=1.5 mm z 5 Ω microstrip feeding line k x θ y Reflector Figure 1. Geometry of the proposed antenna with coordinate system: top view and side view. 1.5 mm, and loss tangent of.18. The triple-band CP operation can be realized by utilizing a Spidron fractal slot, a Z-shaped slit, and two L-shaped slits, which are etched from the ground plane. One of the present authors previously proposed a Spidron fractal slot antenna with single band CP operation [4, 5]. In this work, a Spidron fractal system is formed from a series of contiguous right-angled triangles with identical angular factor (α). The hypotenuse of each right-angled triangle coincides with the adjacent side of a smaller, down-scaled right-angled triangle. This Spidron fractal system is repeated with seven iterations in this antenna design. The parameters of the first right-angled triangle include angle α and its adjacent side with a length of p 1. The scale factor (δ) of the Spidron fractal system is given as follows: δ = tan α, for < α < 45. (1)

1 Thi et al. Based on previous research on the Spidron fractal antenna, a single band Spidron fractal slot is designed to obtain CP radiation at 4. GHz. Then three slits, including two L-shaped slits S1 and S3, and a Z- shaped slit S, are inserted at the edges of the Spidron fractal slot to generate two additional CP modes (at 3.1 GHz and 5. GHz) near the basic CP mode of the Spidron fractal slot. First, CP radiation at 3.1 GHz is obtained by employing slits S1 and S. The L-shaped slit S1 consists of two rectangular slits with lengths of d 1 and d and is formed at the opposite side of the first right-angled triangle at a distance of x 1 from the left edge of the Spidron fractal slot. The Z- shaped slit S includes three rectangular slits with lengths of d 3, d 4, and d 5. It is formed at a vertex of the second right-angled triangle of the Spidron fractal slot. The total length of the two slits S1 and S is approximately equal to a half of the guided wavelength at the frequency of 3.1 GHz and is calculated as follows: 5 L S1+S = d i 3w, () i=1 where w is the width of all slits. Meanwhile, the CP radiation at 5. GHz is mainly induced from slit S3. The L-shaped slit S3 consists of two rectangular slits with lengths of d 6 and d 7. It is connected to the adjacent side of the angle α at a distance of y 1 from the lower edge of the Spidron fractal slot. The length of slit S3 is equal to a quarter of the guided wavelength at the frequency of 5. GHz and is calculated as follows: L S3 = d 6 + d 7 w. (3) A 5 Ω microstrip feeding line with the dimensions f w f h on the bottom layer of the substrate is located at a distance f s from the left edge of the antenna. To enhance the antenna gain, a conducting reflector is also utilized and placed at a distance k under the substrate. The overall dimensions of the proposed antenna are g w g h (k + t). 3. PARAMETRIC STUDY The design procedure of the proposed antenna includes three steps for implementing the triple-band CP operation. First, the CP radiation at 4. GHz is derived by employing the Spidron fractal slot. Two slits S1 and S are then employed to generate the CP radiation at the lower resonant frequency (3.1 GHz). Finally, an additional CP operation is achieved at the upper resonant frequency of 5. GHz by inserting the slit S3. Simulation and optimization of the proposed antenna were

Progress In Electromagnetics Research, Vol. 143, 13 11 conducted by using Ansys High-Frequency Structure Simulator (HFSS) based on the three-dimensional finite element method (FEM) [6]. Figure shows the simulated reflection coefficient and AR of the proposed antenna for three cases: the Spidron fractal slot alone, the Spidron fractal slot with slits S1 and S, and the Spidron fractal slot with three slits S1, S, and S3. It is clearly seen that the proposed antenna with the single Spidron fractal slot exhibits CP operation in the middle band (4. GHz). Meanwhile, as shown in the figure, utilizing slits S1 and S generates CP radiation in the lower band (3.1 GHz), and another slit S3 adds the additional CP operation in the upper band (5. GHz). The effect of the total length of slits S1 and S (L S1+S ) on the reflection coefficient and AR is shown in Fig. 3. It is observed that L S1+S affects CP operation in the lower band, whereas it does not have much effect on CP operation in either the middle band or upper band. The resonant frequency and operating CP frequency, where the minimum AR exists, both decrease as length L S1+S increases. Fig. 4 illustrates the influence of length L S3 on the reflection coefficient and AR. Like the result shown in Fig. 3, the length of slit S3 only affects CP operation in the upper band. The operating CP frequency in the upper band is shifted up to a higher band as -5 Spidron slot Spidron slot with S1 and S Spidron slot with S1, S, and S3 6 5 Spidron slot Spidron slot with S1 and S Spidron slot with S1, S, and S3 S 11 (db) -1-15 - -5-3 3 4 5 6 7 Axial ratio (db) 4 3 1 3 4 5 6 7 Figure. Simulated results of reflection coefficient and axial ratio of the proposed antenna for three cases: the Spidron fractal slot alone, the Spidron fractal slot with slits S1 and S, and the Spidron fractal slot with three slits S1, S, and S3 when p 1 = 3 mm, α = 3, g w = 4.7 mm, g h = 4.7 mm, k = 17 mm, f h = 19.8 mm, f w = 3.4 mm, f s = 3.7 mm, x 1 = 16.9 mm, y 1 = 1.67 mm, d 1 =.9 mm, d = 13.84 mm, d 3 = 3 mm, d 4 = 8.8 mm, d 5 = 6.65 mm, d 6 = 1.85 mm, d 7 = 8.3 mm, w =.5 mm, L S1+S = 33.69 mm, and L S3 = 9.65 mm.

1 Thi et al. -5 L L L S1+S S1+S S1+S =36.9 mm =33.69 mm =31.9 mm 6 5 L L L S1+S S1+S S1+S =36.9 mm =33.69 mm =31.9 mm S 11 (db) -1-15 - Axial ratio (db) 4 3-5 1-3 3 4 5 6 7 3 4 5 6 7 Figure 3. Simulated results of reflection coefficient and axial ratio with different values of L S1+S. -5 L S3=1.5 mm L S3=9.65 mm L S3=9.5 mm 6 5 L S3=1.5 mm L S3=9.65 mm L S3=9.5 mm S 11 (db) -1-15 - Axial ratio (db) 4 3-5 1-3 3 4 5 6 7 3 4 5 6 7 Figure 4. Simulated results of reflection coefficient and axial ratio with different values of L S3. the length L S3 decreases, without deteriorating the CP performance in the lower band and middle band. Therefore, the CP performance of the proposed antenna can be independently tuned at three different frequencies by the Spidron fractal slot and three slits engraved on each side. We also simulated magnetic current concentrations on the aperture to visualize the CP operation of the antenna. Fig. 5 depicts the current distribution, as observed from the +z-direction at 3.1 GHz. Here, represents the vector sum of all major current contributions. At t =, the currents on slits S1 and S and the

Progress In Electromagnetics Research, Vol. 143, 13 13 M M M M8 M M8 M (c) M M M8 (d) M8 M Figure 5. Simulated magnetic current distribution with period T at 3.1 GHz: t =, t = T/4, (c) t = T/4, and (d) t = 3T/4. Spidron fractal slot rise and their vector sum points from the upper left corner to the lower right corner. At t = T/4, the currents near slits S1 and S and the Spidron fractal slot dominate the radiation again, producing a vector sum pointing from the upper right corner to the lower left corner. This vector sum is orthogonal to that at t = and rotates clockwise as the time t increases, thus producing CP radiation, as shown in Fig. 5. As shown in Fig. 6, it was found that the currents on the Spidron fractal slot are the major components related to the generation of CP radiation at 4. GHz. Fig. 7 illustrates the current distribution at 5. GHz. Unlike the cases at 3.1 GHz and 4. GHz, this figure shows that slit S3 is involved in the current generation, rotating clockwise. In the proposed antenna design, a conducting reflector is also applied to reduce back radiation from the Spidron fractal slot and

14 Thi et al. M M M M M M (c) M (d) M Figure 6. Simulated magnetic current distribution with period T at 4. GHz: t =, t = T/4, (c) t = T/4, and (d) t = 3T/4. slits. Fig. 8 shows the effect of the reflector on forward antenna gain. By using the reflector, the peak gain of the antenna is significantly increased due to the suppression of back radiation. On the basis of the parametric study, the optimized parameters of the proposed antenna are derived and listed in the caption of Fig.. 4. EXPERIMENTAL RESULTS AND DISCUSSION Based on the optimized parameters, the proposed antenna was fabricated and measured. Fig. 9 shows a photograph of the fabricated antenna. The Spidron fractal slot and three slits were etched from the top conducting layer of the substrate. The 5 Ω microstrip line was mounted on the bottom layer of the substrate. The reflector

Progress In Electromagnetics Research, Vol. 143, 13 15 M M M M M M (c) M (d) M Figure 7. Simulated magnetic current distribution with period T at 5. GHz: t =, t = T/4, (c) t = T/4, and (d) t = 3T/4. 1 5 Without reflector With reflector Gain (dbic) -5-1 -15-3 4 5 6 7 Figure 8. Simulated peak gains versus frequency in case of with and without a conducting reflector.

16 Thi et al. Ground plane S S3 S1 Reflector Foam support -5 Spidron fractal slot SMA connector Measurement Simulation Input impedance Z in ( ) Ω 15 1 5-5 3 4 5 6 7 6 5 Z in=r in+jxin R in measurement R in simulation X in measurement X in simulation Measurement Simulation S 11 (db) -1-15 - -5 Axial ratio (db) 4 3 1-3 3 4 5 6 7 3 4 5 6 (c) (d) 7 Figure 9. Photograph of the fabricated antenna and simulated and measured input impedances, (c) reflection coefficients, and (d) axial ratios of the proposed antenna. was located at a distance of 17 mm under the bottom layer of substrate. Four foam supports with a relative permittivity of 1.6 were utilized to support the substrate, which was suspended in midair above the reflector. An Agilent 851C network analyzer was used to measure the reflection coefficient of the proposed antenna. Figs. 9 and 9(c) show the simulated and measured input impedances and reflection coefficients, respectively. The measured 1 db reflection coefficient bandwidths are from.76 GHz to 3.13 GHz and from 3.56 GHz to 6. GHz. The slight discrepancy between the simulation and the measurement can be attributed to the fabrication tolerance. The simulated and measured ARs in the broadside direction (θ = ) are shown in Fig. 9(d). It is noted that the measured result agrees well with the simulated result. The measured 3 db AR bandwidths are.8%

Progress In Electromagnetics Research, Vol. 143, 13 17 Simulated LHCP Simulated RHCP θ = o [db] 33 o 3 o -1 Measured LHCP Measured RHCP θ = o [db] 33 o 3 o -1 3 o - -3 6 o 3 o - -3 6 o 7 o 9 o 7 o 9 o 4 o 1 o 4 o 1 o 1 o 18 o 15 o φ = o θ = o [db] 33 o -1 3 o 1 o 15 o 18 o φ = 9 o θ = o [db] 33 o 3 o -1 3 o - -3 6 o 3 o - -3 6 o 7 o 9 o 7 o 9 o 4 o 1 o 4 o 1 o 1 o 15 o 18 o φ = o θ = o [ db] 33 o 3 o -1 1 o 15 o 18 o φ = 9 o θ = o [db] 33 o 3 o -1 3 o - -3 6 o 3 o - -3 6 o 7 o 9 o 7 o 9 o 4 o 1 o 4 o 1 o 1 o 18 o φ = o 15 o (c) 1 o 18 o φ = 9 o 15 o Figure 1. Simulated and measured normalized radiation patterns of the proposed antenna at operating CP frequencies: 3.1 GHz, 4. GHz, and (c) 5. GHz.

18 Thi et al. (3.4 3.11 GHz) for the lower band, 7.15% (4.18 4.49 GHz) for the middle band, and.6% (4.93 5.6 GHz) for the upper band. Table 1 shows a comparison of the 3 db AR bandwidths for all operating bands of the proposed antenna, alongside antennas presented in earlier works [16, 17, 19, ]. As shown in the table, the 3 db AR bandwidths of the proposed antenna are wider than those of the previous tripleband CP antennas. Fig. 1 illustrates the simulated and measured normalized radiation patterns of the proposed antenna along two elevation cuts (xz- and yz-planes) at three frequencies. It is seen that the radiation patterns are directional to the positive z-axis due to the presence of the conducting reflector. Moreover, in both planes, Gain (dbic) 1 8 6 4 - -4-6 -8-1 Measurement Simulation 3 4 5 6 7 frequency (GHz ) Figure 11. antenna. Simulated and measured peak gains of the proposed Table 1. Comparison of the AR bandwidths between the proposed antenna and other triple-band CP antennas. Structure Lower band Middle band Upper band Proposed antenna [16] [17] [19] [] 3.4 3.11 GHz (.8%) 1.156 1.196 GHz (3.4%) 1.567 1.577 GHz (.64%) 1.485 1.515 GHz (.%) 1.518 1.583 GHz (4.19%) 4.18 4.49 GHz (7.15%) 1. 1.3 GHz (.81%) 1.596 1.611 GHz (.93%).48.5 GHz (1.6%).375.46 GHz (3.5%) 4.93 5.6 GHz (.6%) 1.569 1.58 GHz (.83%).486.5 GHz (.64%) 4.875 4.95 GHz (1.%).985 3.15 GHz (1.%)

Progress In Electromagnetics Research, Vol. 143, 13 19 the co-polarization (left-hand circular polarization, or LHCP) to crosspolarization (right-hand circular polarization, or RHCP) level is more than 15.7 db in the broadside direction at all frequencies. Fig. 11 shows the simulated and measured LHCP gains of the proposed antenna. As seen in the figure, the peak gains within 1 db reflection coefficient bandwidths are 3.41 dbic and 6.9 dbic, respectively. 5. CONCLUSION A single microstrip-fed Spidron fractal slot antenna with three slits was proposed and studied for triple-band CP applications. By utilizing a Spidron fractal slot, a Z-shaped slit, and two L-shaped slits, triple-band CP radiation was realized. The parametric analysis proved that the proposed antenna had not only wide bandwidth but also independent tuning capability for three operating frequencies. The optimized antenna, fabricated on a commercial substrate, also exhibited directional radiation patterns for the entire measured frequencies. Therefore, the proposed CP antenna can be feasibly applied in various multi-band wireless communication systems. ACKNOWLEDGMENT This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (1R1A1A138849). REFERENCES 1. Rao, P. N. and N. V. S. N. Sarma, Fractal boundary circularly polarised single feed microstrip antenna, Electron. Lett., Vol. 44, No. 1, 713 714, 8.. Zarifi, D., H. Oraizi, and M. Soleimani, Improved performance of circularly polarized antenna using semi-planar chiral metamaterial covers, Progress In Electromagnetics Research, Vol. 13, 337 354, 1. 3. Segovia-Vargas, D., F. J. Herraiz-Martinez, E. Ugarte-Munoz, L. E. Garcia-Munoz, and V. Gonzalez-Posadas, Quad-frequency linearly-polarized and dual-frequency circularly-polarized microstrip patch antennas with CRLH loading, Progress In Electromagnetics Research, Vol. 133, 91 115, 13. 4. Deng, J., L. Guo, T. Fan, Z. Wu, Y. Hu, and J. Yang, Wideband circularly polarized suspended patch antenna with indented edge

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