In this paper, a millimeter-wave Butler matrix with flexible phase differences is proposed using the substrate integrated suspended line technology. To begin with, a low-loss substrate integrated suspended line (SISL) circular patch coupler consisting of four circular sectors is presented, achieving arbitrary phase difference and coupling coefficient by adjusting the angle and radii of the sectors. Based on the proposed coupler, two prototypes of the SISL Butler matrix are designed, fabricated and measured for the demonstration. In prototype I, the crossovers are removed and a flexible phase difference is obtained with an area size of 2.5 λ g × 2.8 λ g . In prototype II, both the crossovers and 45 phase shifters are removed and the phase differences of ±45 and ±135 are obtained with an area size of 1.86 λ g × 2.24 λ g . Low crosstalk between components and minimal radiation loss can be achieved by the SISL self-packaged characteristic and electromagnetic shielding. For both prototypes, the measured insertion losses are less than 2 dB at 26 GHz, including the loss of transitions and connectors, and the measured phase errors are less than ±10 within a bandwidth of more than 10%. The proposed Butler matrix shows the advantages of compact size, low loss and high integration.
K E Y W O R D Sarbitrary phase difference, butler matrix, coupler, patch element, substrate integrated suspended line (SISL)
| INTRODUCTIONWith the rapid development of the fifth-generation communication (5G) technology, millimeter-wave multibeam array antennas and millimeter-wave multi-input and multi-output (MIMO) systems have been extensively studied. [1][2][3] For these applications, antennas systems 4,5 with high directivity and efficient are desired to compensate for large propagation path loss especially in the millimeter-wave frequency band and enhance the communication quality. 6 The beam-forming networks are cost effective and attractive approach to fulfill such antennas. Three commonly-used circuit topologies for beam-forming networks are Blass, 7 Nolen, 8 and Butler 9 matrices. Among them, the Butler matrix is most widely applied for its simple structure and low power consumption. A conventional Butler matrix is composed of four 3-dB quadrate couplers, two 45 phase shifters, and two crossovers. When the signal is fed from one of the input ports, the signal will be divided into the four output ports