Design and Implementation of a 28-GHz Four-Phase Beam-Steering Antenna Based on a Butler Matrix Network
Abstract
1. Introduction
2. Design Approach
2.1. Analysis of the 4 × 4 Butler Matrix
2.2. Hybrid Coupler
2.3. Crossover
2.4. Phase Shifter
2.5. Design of Butler Matrix
3. Antenna Element Design
3.1. Rectangular Patch Antenna
3.2. Integration of Butler Matrix and Antenna Arrays
4. Fabrication, Measurement and Discussion
5. Literature Comparison and Discussion
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Conflicts of Interest
References
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| Port# | P1 | P2 | P3 | P4 |
|---|---|---|---|---|
| P5 | ||||
| P6 | ||||
| P7 | ||||
| P8 | ||||
| PPD | −45 | 135 | −135 | 45 |
| No. | Adjacent Output Port Phase | Average Phase Difference | Theoretical Goals | Phase Deviation | ||
|---|---|---|---|---|---|---|
| Port 5–6 | Port 6–7 | Port 7–8 | ||||
| Port 1 | −42.4 | −45.1 | −44.4 | −43.96 | −45 | 1.04 |
| Port 2 | 142.7 | 126.2 | 141.6 | 136.83 | 135 | 1.83 |
| Port 3 | −150 | −116.9 | −141.4 | −136.1 | −135 | 1.1 |
| Port 4 | 45.7 | 38.1 | 42.8 | 42.2 | 45 | 2.8 |
| Parameter | Value | Parameter | Value |
|---|---|---|---|
| WS | 40 | L1 | 4.7 |
| LS | 43 | L2 | 0.725 |
| W1 | 7 | L3 | 1.2 |
| W2 | 1.6375 | L4 | 1.975 |
| W3 | 2.725 | L5 | 0.725 |
| W4 | 1.725 | L6 | 1.975 |
| W5 | 8 | L7 | 0.725 |
| W6 | 0.2 | L8 | 1.625 |
| W7 | 0.725 | L9 | 4.42 |
| W8 | 1.5375 | L10 | 0.35 |
| W9 | 1.9 | L11 | 0.725 |
| W10 | 3.0125 | R1 | 2 |
| W11 | 3.425 | h | 0.254 |
| W12 | 3.42 | ||
| W13 | 1.0 |
| Ref. | Proposed | [2] | [32] | [37] | [38] | [45] | [51] | [50] |
|---|---|---|---|---|---|---|---|---|
| fc (GHz) | 28 | 28 | 28 | 28 | 29 | 30 | 28 | 27 |
| Dielectric Layer | 1 | 2 | 2 | 5 | 2 | 2 | 2 | 4 |
| Substrates | RT5880 | RF-30 | Polytetrafluoroethylene | RO4003C | RT5880 | Metal Waveguide | Merck GT7- 29001 | TLY-5 RO4450B |
| Dielectric Constant | 2.2 | 3 | 2.45–3.53 | 3.55 | 2.2 | - | 2.17/6.15 | 2.2/3.5 |
| Degree | ±14/ ±39 | −43, +34 | ±60 | ±48 | ±135° | ±14/ ±42° | −39 ~+36 | ±61°/ ±75° |
| Lobe (dB) | −3 | −5.3 | −6 | −7 | −15 | −10 | −6 | - |
| Gain | 8.8–10.8 | 5.8–6.7 | 5.6 | 9.51 | 11.6–14.3 | 10.6–13.9 | 8.5–9.9 | 6.3–8.9 |
| Size (λ0 × λ0) | 3.73 × 4.01 | 3.4 × 4.6 | - | 11.6 × 98.0 | 8.6 × 4.0 | 0.51 × 2.0 | 1.7 × 2.1 | - |
| Design method | MS | SP4T | LC | SIW | SIW | WG | MS | Multi-layer |
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Share and Cite
Chung, M.-A.; Lin, C.-W.; Chuang, B.-R. Design and Implementation of a 28-GHz Four-Phase Beam-Steering Antenna Based on a Butler Matrix Network. Electronics 2026, 15, 2505. https://doi.org/10.3390/electronics15122505
Chung M-A, Lin C-W, Chuang B-R. Design and Implementation of a 28-GHz Four-Phase Beam-Steering Antenna Based on a Butler Matrix Network. Electronics. 2026; 15(12):2505. https://doi.org/10.3390/electronics15122505
Chicago/Turabian StyleChung, Ming-An, Chia-Wei Lin, and Bing-Ruei Chuang. 2026. "Design and Implementation of a 28-GHz Four-Phase Beam-Steering Antenna Based on a Butler Matrix Network" Electronics 15, no. 12: 2505. https://doi.org/10.3390/electronics15122505
APA StyleChung, M.-A., Lin, C.-W., & Chuang, B.-R. (2026). Design and Implementation of a 28-GHz Four-Phase Beam-Steering Antenna Based on a Butler Matrix Network. Electronics, 15(12), 2505. https://doi.org/10.3390/electronics15122505

