IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, VOL. 19, NO. 11, NOVEMBER 2009 683 A Novel Triple-Band Microstrip Branch-Line Coupler With Arbitrary Operating Frequencies Chong-Y i Liou, Min-Sou W u , Student Member , IEEE , Jen-Chun Yeh , Student Member , IEEE , Yu-Zhi Chueh , Student Member , IEEE , and Shau-Gang Mao , Senior Member , IEEE Abstract—This lett er pre sents a novel micr ostr ip bran ch-l ine coupler operating in three frequency bands. The design method- olog y of the trip le-ba nd bran ch-li ne coup ler is esta blish ed by using a compensation technique to improve the matching prop- erty within eac h pass band reg ion. The propose d coup ler with compact size is realized by folded microstrip open-circuited and shor t-cir cuit ed stubs . The mea sur ed, full- wave simu late d and equi vale nt-c irc uit mode led res ults illus trat e goo d agr eement among them, which validates the design method and shows the advantages of deep rejection between each operating frequency, and the dc grounded input and output ports. Index T erms—Branch-line coupler, folded microstrip stub, mi- crostrip line. I. INTRODUCTION B RANCH-LINE couplers are one of the most rapidly de- veloping passive components in modern microwave com- mun ica tio n sys tems. Compac t siz e and mul ti-band ope rat ion are crucial in the development of advanced branch-line couplers. In the past years, many researches have been aimed at the design of dual-b and branc h-line couplers [1]–[6]. The transmiss ion line with one or two shunt stubs [1]–[3] and the cross coupling branch [4] were presented to realize a dual-band branch-line coupl er. Furthe rmore , the compo site right/ left-h anded trans - mission line was adopted to design a dual-band branch-line coupl er by using surfac e mounted devi ces (SMDs) [5], [6]. Howeve r, the compo site right/ left-handed coupl er opera ting in the high frequency range will suffer significant loss caused by the SMDs. Recently, a multi-band branch-line coupler with open stubs has been proposed [7], but the passband frequencies cannot be allocated arbitrarily. In this letter, a new triple-band branch-line coupler with arbi- tra ry ope rat ing fre que ncies is pro pos ed, and its des ign met hod is pre sen ted . Bas ed on the compensat ion tec hno log y [8], two addi- tional capacitances are attached into the triple-band resonator to improve the matching properties of the triple-band branch-line coupler. The series connection of three shunt LC resonators can be transferred to the parallel connection of one shunt LC res- onato r and two series LC resonato rs [9]; the folded micros trip Manuscript received July 07, 2009; revised August 03, 2009. First published October 20, 2009; current version published November 06, 2009. This work was supported in part by the Natio nal Science Counc il of T aiwan, R.O.C., unde r Grant NSC 96-2221-E-02 7-022, and Grant NSC 96-2628-E-027-001 -MY3. The authors are with the Graduate Institute of Computer and Communica- tion Engineering, National Tai pei University of Technology , Taipei 106, Taiw an (e-mail: [email protected]). Digital Object Identifier 10.1109/LMWC.2009.2031998 Fig. 1. (a) Equi vale nt-ci rcuit model of the triple-b and branch-l ine coupler. (b) Equival ent sing le-ba nd reson ator and initial tripl e-ban d reson ator. (c) Impe dance inverter with two shun t capac itanc es for phas e and impe danc e compensation. stubs are equivalent to it, which can be treated as a triple-band resonator for the branch-line coupler design. Finally, the pro- posed coupler is implemented to validate the proposed design method. Additionally, this coupler has the advantages of com- pact size and deep rejection between each operating frequency, and the dc groun ded input and output ports. II. DESIGN METHODOLOGY The equ ivale nt cir cuit of the pro pos ed trip le- ban d bra nch -lin e coupler is depicted in Fig. 1(a). First, the single-band resonator is sho wn in Fi g. 1( b) , an d and ca n be de t er min ed by using the 1st-order low-pass filter prototype [10]. Thus the ini- tial triple-band resonator is obtained by cascading three res- onators with difference operating bands [Fig. 1(b)]. Second, to simultaneously improve the phase and impedance matching con ditions of the imp eda nce in verte r wit hin the ope rat ing ban ds, two ca paci tanc es are shunted at each end of th e quarter- wa velen gth tra nsmiss ion lin e as shown in Fig . 1(c ) [8]. Thechar- acteristic impedance and capacitance are determined by (1) (2) 1531-1309/$26.00 © 2009 IEEE