Circular Polarization Array Antenna with Orthogonal Arrangement and Parallel Feeding by Smoothed Routing Wires

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Circular Polarization Array Antenna with Orthogonal Arrangement and Parallel Feeding by Smoothed Routing Wires Yumi Takizawa and Atsushi Fukasawa Institute of Statistical Mathematics Research Organization of Information and Systems 10-3 Midori-cho, Tachikawa, Tokyo, JAPAN takizawa@ism.ac.jp Former Professor, Chiba University Kamimeguro, Meguro-ku, Tokyo, JAPAN fukasawafuji@yahoo.co.jp Abstract: - This paper presents an extremely wideband array antenna with orthogonal arrangement and parallel feeding by smoothed round wires for circular polarization. In conventional studies, the bandwidth of circular polarization and flat impedance was limited only as a few per cent of the central frequency. This paper present first that a novel unit antenna is composed of feed, reactance, and ground elements to realize wideband and lee spurious resonances. This paper present secondly that the array is composed of four antennas arranged in orthogonal and fed in parallel with phase delay of degrees for circular polarization. Based on computer simulation, it was first found that enough wide bandwidth obtained for circular polarization. And it was also found that the flat impedance bandwidth is extremely wide, it was concluded that this configuration first realized to compose a practical array antenna with multiple unit antenna. Key-Words: - Circular polarization, plane array antenna, orthogonal arrangement, smoothed routing wire, wideband characteristics. 1 Introduction This paper describes a novel configuration of circular polarization array antenna applied to microwave level gauge in oil tanks. This technology is expected to be applied to navigation system in flying machines. Conventionally orthogonal (x-y) linear polarization array antennas were provided at C, S, and X-band[1]. Recently circular polarization microwave antennas are studied and used in remote sensing of airplanes for resource and environmental sensing and conservations at C- and S-bands. Circular polarization antennas at X-band were relatively narrowband as 2.2 ~ 2.4 % [1], and recently a wider bandwidth was obtained [2]. This paper provides novel configuration of an unit antenna and a four-antenna-array to provide wideband characteristics of axis ratio for circular polarization applied to the X-band. 2 Wideband Plane Antenna with Three Elements 2.1 Configuration of Yagi-Uda antenna The configuration of the Yagi-Uda antenna[3] is shown in Fig. 1. This antenna is composed of three antenna elements, which are (a) main element with feed, (b) guide, and (g) reflector. l a, l b, and l c are lengths of elements (a), (b), (g), and d a, d b are the distances between a b and a c respectively. If an unfed antenna element is set close to the main antenna element with feed, it can operate as a reflector or a guide depending on phase of current on the unfed element. The phase of the current depends on the distance between the unfed element and the main feed element. Where, the diameter of the rod of element is enough thin compared to the distance. The antenna gain and the bandwidth are effectively enhanced by the configuration. ISSN: 2534-8833 14 Volume 3, 2018

2.2 Configuration of the proposed plane antenna This antenna is made of three elements of ground plate (g), a feed element (a), and a reactance element (b) among microwave dielectric substrates. The length of the feed element is a half wavelength. The reactance element provides capacitive or inductive components for microwave resonation. The configuration of the proposed antenna is shown in the overhead and the cross-sectional views of Fig. 2 and 3. In Fig. 2, the diameters of feed- (a), reactanceelements (b), and ground plate (g) are 2r a, 2r b, and 2r g respectively. In Fig. 3, the distances between g, a, and b and are d a and d b. The routing wires for feeding is formed on the surface of the substrate under the ground. l b l a l c Fig. 1. Yagi-Uda antenna[4]. a : main element with feed b : guide c: reflector 2ra d b d a b a c Feed element a: In Fig. 4, the feed element a is made of a circular disc 2r a with linear cutting 2r ac. It provides a dual resonator along the axes x and y. A long and short resonant wavelength are composed by the distance 2r a and 2(r a - r ac). The former and the latter correspond to the lower and the higher resonant frequencies f L and f H. In Fig. 4, the distance d a is kept close to the ground. Now the feed element a and the ground g form a microstripline resonator. The ground g provides the path for return current of the resonator a. Reactance element b The reactance element b is made of a circular disc shown in Fig. 2. It works as a reactive element providing inductive (delay in time) or capacitive (proceeding in time) effects to the resonator. The distance d b is also kept short, which works as an added reactance component. Routing-wire substrate s The substrate s should be prepared for routingwire connected to the feed element a. The impedance of feeding must be 50Ω coaxial cable. This is made by thin dielectric substrate under the ground plate g. By this configuration, microwave interference is cut by the ground g for forward direction of the z-axis. rac 2rg Fig. 2 Overhead view of the proposed antenna. The dimension of reactance element is included. Fig. 3 Cross-sectional view of the proposed antenna. 2rb 2 (ra-rac) reactance element (b) feed element (a) ground plate (g) db da ds feed point (f) routing wire (s) The circular polarization characteristics of a single antenna is referred to another paper[4]. ISSN: 2534-8833 15 Volume 3, 2018

2.3 Generation of circular polarization Y In this structure, three resonant frequencies appear at f L and f H by the element a, and f M by the element b, where the relation is kept as ; y x 2ra f L < f M < f H (1) In this structure, the current i L (f L) is delayed and i H (f H) is proceeded by magnetic and electric coupling between current i M (f M) on the element b. Circular polarization is realized by the timespace vectors i L and i H being controlled by the vector i M, rac Z feed point 2 (ra-rac) X It is pointed that another scheme was given by M. Haneishi, et al [1]. Circular polarization was realized by a rectangle slot in the center of the circular feeding element. Fig. 4 Dimension of feeding element. 3 Array Antenna with Four Plane Antennas 3.1 Configuration of the proposed array antenna An array antenna is shown in Fig. 5. Four unit antennas a i, (i = 1~4) are set at each quadrant around the center O in X Y plane. Z axis is perpendicular against X-Y plane. Each unit antenna generates right-handed polarized wave. To get right-handed polarized wave totally, each antenna must be fed by the signal with degree phase delay along the left-handed circulation. The directions of Poynting vectors pi are defined according to the orthogonal arrangement as shown in Fig. 5. d f shows the position of feeding point at each unit antenna. The diameter of the ground plate 2rg must be large enough compared to the size of total space of inner conductors. a 2 p 3 d 70 70 70 p 2 p 1 d f O Y d f d f p 4 70 a 1 a 3 a 4 d X 3.2 Routing wire configuration The design of routing wires for feeding to four antennas is shown in Fig. 6. This scheme forms a parallel composition of routing wire. The condition of degree phase difference are given between right hand elements a1 vs a4, and the left hand elements a3 vs a2. At the connection of the right and the left elements, 180 degree and degree phase delay are provided by corresponding line lengths. Fig. 5 Configuration of plane array antenna. Reactance elements (patches) and dielectric substrate are abbreviated. ISSN: 2534-8833 16 Volume 3, 2018

4 Characteristics of the Proposed Array Antenna a 2 l 5 p 2 p 1 89 89 l 4 Y l 3 l 4 a 1 The central frequency and the bandwidth are designed for the X-band. The array antenna is composed of 4 unit antennas. Thickness of the substrate; da = 1.6 (mm), db = 1.6 (mm), ds 0.38 (mm). Permittivity ε is 2.17. The parameter values of the proposed antenna (unit) are; The length of the resonator is 10.0 (mm) for lower frequency length, 7.0 (mm) for high frequency resonator. The diameter of reactance element is 8.0 (mm). The array configuration of unit antennas are perpendicular with each other along x and y axes. The spacing between unit antennas d = 25.0 (mm) Frequency characteristics of the proposed array antenna are shown in Fig. 7~10 based on 3D computer simulation with CST Studio Suite. a 3 l 4 89 p 3 l 1 l 2 l 5 l 3 l 0 l0 /2 a p 89 4 4 Fig. 6 Routing wire pattern for the proposed array antenna with 4 unit antenns. l0 /4 l0 /2 l0 /2 z 0 r 1 l0 /4 50 (Ω) 35.4 (Ω) l 4 l 2 l 1 l 5 l 5 X (1) Return loss The frequency characteristics of return loss is shown in Fig. 7. The return loss is better than 15 db between 9.2~ 10.7 GHz. (2) Directive gain The frequency characteristics of directive gain is shown in Fig. 8. The gain is higher than 10.5 db between 8.8 ~ 10.7 GHz. Fig. 7 Frequency characteristics of return loss. (3) Input impedance The frequency characteristics of input impedance is shown in Fig. 9. The source impedance is 50 Ω. The upper and the below curves are the real and the imaginary parts of complex impedance. Extremely wide and flat input impedance was obtained from 8.8 to 11.2 GHz. It proves that larger size array antenna becomes practical by this paper. Fig. 8 Frequency characteristics of directive gain. ISSN: 2534-8833 17 Volume 3, 2018

5 Conclusion Fig. 9 Frequency characteristics of input impedance. Upper line: the real part of impedance. Below line: the real part of impedance. A novel circular polarization antennas and an array antenna are presented in this paper. Circular polarization scheme was composed by smooth resonator in shape of inner conductor of plane antenna. This provides wideband resonator without multiple higher modes. Using this unit antenna, an effective structure was presented for a novel array antenna. A novel design is also presented for an effective structure of the routing wire to feed antennas in the array antenna. Based on the scheme described above, a wideband array antenna was realized for circular polarization in X-band. Acknowledgement Fig. 10 Frequency characteristics of axis ratio of circular polarization. This work is supported by MEXT/JSPS KAKENHI Grant Number 17K00067, and the scholarship donations given by Musasino Co.Ltd. The authors express their sincere gratitude for kind advices given by Prof Koichi Ito, and Prof. Josaphat Tetuko Sri Sumantyo, Chiba University. This study and technical development were supported by Mr. Masaji Abe, CEO, Musasino Co. Ltd and the scholarship donations given by Musasino Co. Ltd. The authors express their sincere gratitude for kind support by Prof. Tomoyuki Higuchi, Director- General, the Institute of Statistical Mathematics. (4) Axis ratio The frequency characteristics of axis ratio is shown in Fig. 10. The axis ratio of circular polarization is smaller than 3 db between 9.1 ~ 11.3 GHz. The axis ratio shows flat and wideband characteristics of circular polarization at X band. ISSN: 2534-8833 18 Volume 3, 2018

References: [1] Haneishi M., et al, Radiation properties of ring-shaped microstrip antenna array, IEICE, Trans., E78-C, pp.995-1001, 1995. [2] Sumantyo Josaphat T. S., Dual-band singly-fed proximity-coupled trip-truncated triangular path array for land vehicle mobile system, Makara Journal of Technology, 19/3, pp.141-147, 2015. [3] Yagi S., Mushiake Y., Yagi-Uda Antenna, Sasaki Co., 1954. [4] Fukasawa A., Takizawa Y., Circular Polarization Array Antenna with Orthogonal Arrangement and Parallel Feeding by Simplified Routing Wires, to be presented in WSEAS Conference in IMCAS 18, Paris, France, Apr. 13th, 2018. [5] Takizawa Y., Fukasawa A., Measurement of Boundary Position in Liquid Medium, Proc. of Int. Conf. on Mathematical Methods & Computational Techniques in Science & Engineering (MMCTSE 14), Nov., 2014. [6] Haneishi M., et al, Analysis, design, and measurement of small and low-profile antenna, Art tech House (U.S.A), pp.1-270, 1991. [7] Takizawa Y., Fukasawa A., Knowledge on Events in Time, Space, and Motion with a Synchronous Neural System, Proc. of Int. Conf. on NEUROLOGY (NEUR '13), Chania, Greece, pp. 104 109, August 27-29, 2013. [8] Takizawa Y., Fukasawa A., Wideband microwave circular polarization array antenna with orthogonal arrangement of three-element plane antennas, NAUN International Journal of Systems Applications, Engineering & Development, vol.11, pp.252-259, 2017. ISSN: 2534-8833 19 Volume 3, 2018