Flexible millimeter‐wave Butler matrix based on the low‐loss substrate integrated suspended line patch hybrid coupler with arbitrary phase difference and coupling coefficient

2021 ◽  
Author(s):  
Li Ming Zheng ◽  
Zhang Tian Lu ◽  
Bo Wei Xu ◽  
Shao Yong Zheng
Keyword(s):  
Millimeter Wave ◽  
Phase Difference ◽  
Coupling Coefficient ◽  
Low Loss ◽  
Butler Matrix ◽  
Arbitrary Phase ◽  
Hybrid Coupler

Quasi-Arbitrary Phase-Difference Hybrid Coupler

2012 ◽  
Vol 60 (6) ◽  
pp. 1530-1539 ◽  
Author(s):  
Yuk Shing Wong ◽  
Shao Yong Zheng ◽  
Wing Shing Chan
Keyword(s):  
Phase Difference ◽  
Arbitrary Phase ◽  
Hybrid Coupler

scholarly journals Flexible Phase Difference of 4 × 4 Butler Matrix without Phase-Shifters and Crossovers

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Ke Han ◽  
Wuyu Li ◽  
Yibin Liu
Keyword(s):  
Closed Form ◽  
Phase Difference ◽  
Return Loss ◽  
Phase Mismatch ◽  
Phase Shifters ◽  
Butler Matrix ◽  
Arbitrary Phase ◽  
Form Design ◽  
Simulation Results ◽  
Phase Differences

This paper proposes a new Butler matrix topology. The proposed Butler matrix consists of only four couplers without phase shifters and crossovers. The output phase difference is relatively flexible. Compared with the phase differences (±45° and ±135°) generated by the conventional Butler matrix, the proposed design can generate different sets of phase differences, which can be realized from −180° to 180°. The proposed new Butler matrix replaces the traditional 90° coupler with arbitrary phase-difference couplers. In this paper, closed-form design equations are derived and presented. A 4 × 4 Butler matrix with output phase differences of −30°, +150°, −120°, and +60° is designed according to equations. The 4 × 4 Butler is meant to operate at 2 GHz. The simulation results show that the amplitude unbalance is less than 0.1 dB, the phase mismatch is within 1°, the return loss is higher than 29 dB, and the isolation is higher than 32 dB.

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