COMPACT WIDEBAND TAG ANTENNA FOR UHF RFID Sang Ho Lim, Young Cheol Oh, Ho Lim, and Noh Hoon Myung Department of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology (KAIST), 373-1, Kuseong Dong, Yuseong Gu, Daejeon, Korea; Corresponding author: limsangho@kaist.ac.kr Received 21 August 2008 ABSTRACT: A UHF radio frequency identification tag antenna using an inductively coupled feeding method and meander lines is proposed. The antenna has a compact size (diameter: 0.08, 26.4 mm), wide bandwidth, and simple matching technique between a tag antenna and a tag chip. To get a physical operation of the proposed antenna, a simplified structure is presented and analyzed. An equivalent circuit model with a simplified structure has good results compared with a simulation. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 1291–1294, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24295 Key words: tag antennas; compact; wideband; meander line; radio frequency identification (RFID) 1. INTRODUCTION Radio frequency identification (RFID) systems can be grouped by the size of objects for fixed applications, i.e., pallet level, box level, and item level. For many applications, pallet and box level RFID systems can be successfully used with a high recognition rate. However, item level RFID systems need to be comparatively more accurate and stable. In recent years, the requirements imposed on small object identifications have rapidly increased; thus, compact tag antenna analysis and design have become mandatory to obtain good performance from an item level RFID system. For UHF ranges, the dipole-like tag antennas, which are used in many Figure 2 Simplified structure and operation principle of the proposed antenna. [Color figure can be viewed in the online issue, which is available at www.interscience.wiley.com] applications, are too big to attach to a small object. Therefore, a high number of studies on small tag antennas have been performed. Andrenko et al. [1] proposed a custom design for tag antennas for stacked CDs. Even though these antennas have a small size (diameter: 0.1, 33.2 mm) and an easy way to control the tag antenna impedance, they do not have sufficient bandwidth or a long read range. Circular loop antennas that use a short stub have been suggested [2]. Such antennas have a small size (diameter: 0.12, 40 mm), a wide bandwidth, and an omni-directional radiation pattern. However, these antennas have been designed to match 50 ⍀, so it is necessary to use another matching network between a tag antenna and a tag chip. Such an adjustment might cause reduction of the bandwidth, increase the fabrication cost, and increase the structure complexity. In this article, we present a compact wideband tag antenna for UHF RFID, as shown in Figure 1. Using an inductively coupled feeding method, a wide bandwidth and a simple matching technique between a tag antenna and a tag chip can be obtained without any kind of matching network. A compact size can be achieved with meander lines. To understand the physical operation of the proposed tag antenna, we analyze and present an equivalent circuit model with a simplified structure, as illustrated in Figure 2. Then, we check the validation of the model through comparison between the simulation and calculation of an equivalent circuit. Finally, we suggest a compact (diameter: 0.08, 26.4 mm) wideband tag antenna for a plastic lid. 2. ANALYSIS AND EQUIVALENT CIRCUIT MODEL Figure 1 Geometry of the proposed antenna. [Color figure can be viewed in the online issue, which is available at www.interscience.wiley. com] DOI 10.1002/mop Figure 2 shows the simplified structure and operation principle of the proposed antenna. Even though the structure does not have meander lines, it will suffice to express the basic operation of the proposed antenna. The structure consists of a loop shaped feeding part with a tag chip and a split ring shaped radiating part. The MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 51, No. 5, May 2009 1291 The solution to the mutual inductance of the simplified structure is not known. Therefore, we analyzed the problem and validated the results. In general, a mutual inductance can be expressed using (6), where Ifp is a current on the feeding part, Bfp is the magnetic flux density, which is created by Ifp, and Srp is the area of the radiating part. If the feeding part, which has a radius FRs, is placed in the x-y plane, centered at the origin, and carrying a constant current Ifp, the current density has only a component, as in (7). The magnetic vector potential, A, which can be derived from J, can be expressed by using a complete elliptic integral of first kind and second kind [5, 6]. M⫽ 1 I fp 冕 srp Bfp 䡠 dsrp共H兲 Figure 3 Equivalent circuit model of the simplified structure (6) ␦共r⬘ ⫺ FRs兲 FRs J ⫽ I fpsin⬘␦共cos⬘兲 circumference of the radiating part should be close to /2 for the purpose of effective radiation into free space. The operation principle can be explained as follows. It is possible to assume constant current flows on the feeding part, because the feeding part is much smaller than the wavelength of UHF frequency ranges. If the current flows in a counterclockwise direction, it produces magnetic fields around the feeding loop. To cancel the magnetic fields, new magnetic fields are induced near the radiating part. Therefore, a current that flows in a clockwise direction is also induced on the radiating part. It is the source to radiate into free space. The simplified structure can be expressed as an equivalent circuit model in Figure 3 [3]. The capacitance Ccouple between the feeding part and the radiating part is negligible, because the distance between the two parts is large. Therefore, only inductive coupling survives. The input resistance and reactance of the inductively coupled feeding structure can be expressed as (1) and (2) near the resonance frequency, where M is the mutual inductance between the two parts, and Rrp,o and Qrp are the radiation resistance and the quality factor of the radiating part at resonance frequency, respectively. Lfp is the self inductance of the feeding part [3]. The unknown variables (Lfp, M, Rrp,o, and Qrp) of the equivalent circuit are analyzed and designed. 1 共2 fM兲 2 Ra ⫽ R rp,o 1 ⫹ 关Qrp共 f/fo ⫺ fo/f 兲兴2 X a ⫽ 2 fL fp ⫺ 共2fM兲2 Qrp共 f/fo ⫺ fo/f 兲 Rrp,o 1 ⫹ 关Qrp共 f/fo ⫺ fo/f 兲兴2 (1) (2) The inductance of a circular loop which has radius “a” and a wire radius “b” can be calculated by (3) [4]. However, the feeding part of the simplified structure is a planar type, which has a radius FRs and width FWs, as shown in Figure 2. Therefore, (3) needs to be modified. If most currents flow on the surface of the wire, from (4), the circumference of the wire is equal to the feeding part width of the simplified structure. Substituting (4) in (3), we obtain the inductance of the feeding part by (5). 冋冉冊 册 L loop ⫽ oa ln 8a ⫺2 b 2 b ⬇ FWs 3 b ⬇ FWs/2 冋冉 冊 册 16FRs ⫺2 L fp ⬇ oFRs ln FWs 1292 K共k兲 ⫽ 再 冉冊 冉 冊 冉 冊 再 冉冊 冉 冊 冉 冊 1 1⫹ 2 2 k2 ⫹ 1䡠3 2䡠4 E共k兲 ⫽ 1 1⫺ 2 2 2 k2 ⫺ 1䡠3 2䡠4 A 共r, 兲 ⫽ k4 ⫹ 䡠 䡠 䡠 k 2n ⫹ 䡠 䡠 䡠 冎 (8) k 2n ⫹ 䡠 䡠 䡠 2n ⫺ 1 冎 (9) 2 2 k4 ⫺ 䡠 䡠 䡠 共2n ⫺ 1兲!! 2 nn! ⫺ k2 ⫽ 2 共2n ⫺ 1兲!! 2 nn! ⫹ 2 4FRs rsin FR ⫹ r2 ⫹ 2FRsrsin (10) 2 s 0 4I fpFRs 4 共FRs2 ⫹ r2 ⫹ 2FRsrsin 兲1/ 2 ⫻ 冋 册 共2 ⫺ k2 兲 K共k兲 ⫺ 2E共k兲 k2 (11) The magnetic flux density, B, can be calculated using (12). Since the loop lies in the x-y plane (at ⫽ 90°), Br becomes zero and only the B component survives. Finally, substituting (12.2) in (6), we can get the mutual inductance, M, between the feeding part and the radiating part, as shown in (13). Because the current flow direction of the feeding part is opposite to that of the radiating part, the mutual inductance has a minus sign. The radiation resistance and the reactance of a radiating part can be calculated by using ADS Momentum. The quality factor of the split ring shaped radiating part can be also calculated by using (14). Br ⫽ 1 ⭸ 共sinA 兲 rsin⭸ B ⫽ ⫺ (3) (4) 2 (7) 1⭸ 共rA 兲 r ⭸r B ⫽ 0 M⫽ (12.1) (12.2) (12.3) 冋 册 共2 ⫺ k2 兲 K共k兲 ⫺ 2E共k兲 ⫺ 2 0FRsRRs 2 1/ 2 ⫻ 共FR ⫹ RRs ⫹ 2FRsRRs兲 k2 2 s (13) (5) MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 51, No. 5, May 2009 DOI 10.1002/mop Figure 4 Input resistance and reactance of the simplified structure Q rp ⫽ dXr o X2 ⫺ X1 兩 ⫽ o ⬇ 2Rrp,o d 2Rrp,o2 ⫺ 1 (14) The specific dimensions were calculated to use the simplified structure in the UHF range. The results of the computation were RRs ⫽ 23.8 mm, RWs ⫽ 2 mm, RGs ⫽ 2 mm, FRs ⫽ 5.2 mm, FWs ⫽ 1.5 mm, TagGs ⫽ 0.6 mm, and ds ⫽ 17.1 mm. The unknown variables were determined to be Lfp ⫽ 20.6 (nH), M ⫽ ⫺2.37 (nH), Rrp,o ⫽ 9.85 (⍀), and Qrp ⫽ 58. To confirm the validation, the input impedance of the equivalent circuit with the calculated variables was compared with the input impedance obtained from high frequency structural simulator (HFSS) simulation. Figure 4 shows good agreement; hence, the availability of the inductance of the feeding part from (5) and the mutual inductance M from (13) was confirmed. 3. ANTENNA DESIGN A compact wideband tag antenna with meander lines was designed and prototyped for an RFID tag chip with an input impedance of 6.2-j127 (⍀) [3], as shown in Figure 5. Indeed, there are parasitic capacitances between the gaps of the meander lines. However, the basic principle of operation is nearly the same as that of the simplified structure. The design parameters of the prototype antenna are RRp ⫽ 8.4 mm, RWp ⫽ 4.8 mm, RGp ⫽ 0.5 mm, FRp ⫽ 2.2 mm, FWp ⫽ 2 mm, FGp ⫽ 0.3 mm, TagGp ⫽ 1 mm, and dp ⫽ 4.2 mm (refer to Fig. 1). The antenna was printed on a thin substrate of polytetrafluoroethylene (r ⫽ 3.5, tan ␦ ⫽ 0.001) using copper traces ( ⫽ 5.8 ⫻ 107 S/m) with a thickness of 35 m. The proposed antenna is a kind of balanced symmetric type antenna. Thus, the antenna input impedance was measured by measuring half of the antenna over a 400 ⫻ 400 mm2 ground plane, as shown in Figure 6, and multiplying the measured impedance by two. Figure 7 shows the simulated return loss, which was obtained using HFSS and the measured return loss of the antenna. The simulation result at the reference level of 3 dB return loss was 102 MHz (862–964 MHz), whereas the measured result at the same reference level was 102 MHz (856 –958 MHz). Both results approximately cover the UHF RFID frequency bandwidth (860 –960 MHz). Therefore, the prototype antenna can be operated continually in the UHF RFID frequency range. Figures 8 and 9 show the simulation results for the input impedance characteristic of the proposed tag antenna with a varying feeding part width, FWp, and a varying distance, dp, between the radiating and the feeding parts. Figure 8 shows the results of DOI 10.1002/mop Figure 5 Prototype of the proposed antenna mounted on a bottle cap. [Color figure can be viewed in the online issue, which is available at www.interscience.wiley.com] varying the feeding part width FWp without changing other parameters. The feeding part width FWp controls the input reactance of the tag antenna. The reactance of the tag antenna is dependent on the tag chip due to the maximization of the power delivery to the tag antenna. The width FWp was 2 mm, which gives a complex conjugate value for the chip impedance. As the width FWp increases, the reactance of the antenna increases. Therefore, it is easy to control the reactance of the tag antenna. Figure 9 shows the results when the distance dp between the radiating and the feeding parts is varied. As seen in Figure 9, the input resistance of the tag antenna is dependent on the distance dp between the radiating and feeding parts. The inductively coupled feeding method can control the input resistance of the antenna by varying the mutual coupling between the radiating and feeding Figure 6 Input impedance measurement of the proposed antenna. [Color figure can be viewed in the online issue, which is available at www.interscience.wiley.com] MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 51, No. 5, May 2009 1293 Figure 7 Return loss of the proposed antenna Figure 9 Input resistance as a function of distance between the two parts parts. The input resistance of the tag antenna increases in proportion to the squared mutual coupling in (1). As the distance dp between the parts increases, the mutual coupling decreases. As the mutual coupling decreases, the resistance of the antenna decreases. Therefore, the input resistance of the tag antenna can be easily adjusted. A number of tag chips are fabricated with various impedances according to the chip providers. Therefore, this method is convenient when designing tag antennas. 4. CONCLUSION In this article, to understand the physical operation of the proposed tag antenna, we have presented an analysis and an equivalent circuit model of the simplified structure. We have validated the model through a comparison between simulation and calculation of the equivalent circuit. For use in plastic lids, we have presented a compact (diameter: 0.08, 26.4 mm) wideband (102 MHz) tag antenna for UHF RFID. Using an inductively coupled feeding method, a wide bandwidth and a simple matching technique can be obtained, while size reduction can also be achieved using meander lines. The prototype antenna can be operated continually in the UHF RFID frequency range. ACKNOWLEDGMENT This work was supported by KAIST BK 21(Brain Korea 21), Agency for Defense Development (ADD) through the Radiowave Detection Research Center (RDRC) at KAIST, and the Samsung Advanced Institute of Technology (SAIT). REFERENCES 1. A.S. Andrenko, M. Kai, T. Maniwa, and T. Yamagajo, Compact printed on CD UHF RFID tag antennas, IEEE Antennas and Propagation Society International Symposium, 2007, Honolulu, HI, pp. 5455–5458. 2. H.-K. Ryu and J.-M. Woo, Miniaturisation of circular loop antenna using short stub for RFID system, Electron Lett 42 (2006), 955–956. 3. H.W. Son and C.S. Pyo, Design of RFID tag antennas using an inductively coupled feed, Electron Lett 41 (2005), 994 –996. 4. C.A. Balanis, Antenna theory, 3rd ed., Wiley Interscience, Hoboken, NJ, 2005. 5. J.D. Jackson, Classical electrodynamics, Wiley, New York, NY, 1998. 6. I.S. Gradshteyn and I.M. Ryzhik, Table of integrals, series, and products, Academic press, Orlando, FL, 1980. © 2009 Wiley Periodicals, Inc. CASCADED DUAL-MODE SQUARELOOP RESONATORS USING HILBERTCURVE PERTURBATION FOR WIDE BANDPASS FILTER APPLICATIONS Ji-Chyun Liu,1 Chiung-Hung Li,1 Ching-Pin Kuei,2 and Bing-Hao Zeng3 1 Department of Electrical Engineering, Ching Yun University, ChungLi, Tao-yuan 32097, Taiwan, Republic of China; Corresponding author: jichyun@cyu.edu.tw 2 Department of Electronics Engineering, Ching Yun University, Chung-Li, Tao-yuan 32097, Taiwan, Republic of China 3 Department of Communication Engineering, Yuan Ze University, Chung-Li, Tao-yuan 32003, Taiwan, Republic of China Received 26 August 2008 Figure 8 1294 Input reactance as a function of feeding part width ABSTRACT: The cascaded dual-mode square-loop resonator (DMSLR) with Hilbert-curve perturbation is introduced to design wide band-pass filter in this article. To obtain low insertion loss (⫺0.85 dB), high out-of-band rejection level (⫺51.82 dB), and wider band (BW 62.3%) responses, using Hilbert-curve perturbation and MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 51, No. 5, May 2009 DOI 10.1002/mop