Application of Aperiodic “Einstein” Monotile in Phased Arrays With Limited Beam Scanning Range
The discovery of the ‘Einstein’ monotile represents one of the most significant advancements in geometry in 2023, prompting research across multiple disciplines. This paper proposes a phased array with a limited beam scanning range based on the ‘Einstein’...
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| Format: | Article |
| Language: | English |
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IEEE
2025-01-01
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| Series: | IEEE Open Journal of Antennas and Propagation |
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| Online Access: | https://ieeexplore.ieee.org/document/10753505/ |
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| author | Yunfei Qiang Xiaochuan Fang Rui-Xin Wu Qian Chen Wei Wang |
| author_facet | Yunfei Qiang Xiaochuan Fang Rui-Xin Wu Qian Chen Wei Wang |
| author_sort | Yunfei Qiang |
| collection | DOAJ |
| description | The discovery of the ‘Einstein’ monotile represents one of the most significant advancements in geometry in 2023, prompting research across multiple disciplines. This paper proposes a phased array with a limited beam scanning range based on the ‘Einstein’ monotile (Hat polykite), characterized by low grating lobe levels and high aperture efficiency. The proposed phased array reduces implementation complexity compared to periodic subarrays and enhances engineering practicality relative to other aperiodic tiles, particularly in load-bearing lattice configurations. Two examples of Hat polykite-based phased arrays are presented in this paper. Example A presents a sparse phased array, where each element is embedded within a Hat polykite, optimized for a maximum grating lobe level of −15 dB. Example B features a subarray comprising eight antenna elements based on the Hat polykite. This configuration achieves 90% aperture efficiency while keeping the maximum grating lobe level below −14 dB within an ±18° main beam scanning range. |
| format | Article |
| id | doaj-art-4177ef0093e34ee8ac3124a8bbc37f81 |
| institution | Kabale University |
| issn | 2637-6431 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Open Journal of Antennas and Propagation |
| spelling | doaj-art-4177ef0093e34ee8ac3124a8bbc37f812025-01-30T00:03:19ZengIEEEIEEE Open Journal of Antennas and Propagation2637-64312025-01-016128329210.1109/OJAP.2024.349973810753505Application of Aperiodic “Einstein” Monotile in Phased Arrays With Limited Beam Scanning RangeYunfei Qiang0Xiaochuan Fang1https://orcid.org/0000-0001-7153-2141Rui-Xin Wu2https://orcid.org/0000-0003-0857-4239Qian Chen3https://orcid.org/0000-0002-8571-7259Wei Wang4https://orcid.org/0000-0002-9795-8367School of Electronic Science and Engineering, Nanjing University, Nanjing, ChinaJames Watt School of Engineering, University of Glasgow, Glasgow, U.K.School of Electronic Science and Engineering, Nanjing University, Nanjing, ChinaInformation Materials and Intelligent Sensing Laboratory of Anhui Province, Anhui University, Hefei, ChinaSchool of Microelectronics, Hefei University of Technology, Hefei, Anhui, ChinaThe discovery of the ‘Einstein’ monotile represents one of the most significant advancements in geometry in 2023, prompting research across multiple disciplines. This paper proposes a phased array with a limited beam scanning range based on the ‘Einstein’ monotile (Hat polykite), characterized by low grating lobe levels and high aperture efficiency. The proposed phased array reduces implementation complexity compared to periodic subarrays and enhances engineering practicality relative to other aperiodic tiles, particularly in load-bearing lattice configurations. Two examples of Hat polykite-based phased arrays are presented in this paper. Example A presents a sparse phased array, where each element is embedded within a Hat polykite, optimized for a maximum grating lobe level of −15 dB. Example B features a subarray comprising eight antenna elements based on the Hat polykite. This configuration achieves 90% aperture efficiency while keeping the maximum grating lobe level below −14 dB within an ±18° main beam scanning range.https://ieeexplore.ieee.org/document/10753505/‘Einstein’ monotileaperiodic tilinggrating lobe suppressionlimited beam scanning rangephased array |
| spellingShingle | Yunfei Qiang Xiaochuan Fang Rui-Xin Wu Qian Chen Wei Wang Application of Aperiodic “Einstein” Monotile in Phased Arrays With Limited Beam Scanning Range IEEE Open Journal of Antennas and Propagation ‘Einstein’ monotile aperiodic tiling grating lobe suppression limited beam scanning range phased array |
| title | Application of Aperiodic “Einstein” Monotile in Phased Arrays With Limited Beam Scanning Range |
| title_full | Application of Aperiodic “Einstein” Monotile in Phased Arrays With Limited Beam Scanning Range |
| title_fullStr | Application of Aperiodic “Einstein” Monotile in Phased Arrays With Limited Beam Scanning Range |
| title_full_unstemmed | Application of Aperiodic “Einstein” Monotile in Phased Arrays With Limited Beam Scanning Range |
| title_short | Application of Aperiodic “Einstein” Monotile in Phased Arrays With Limited Beam Scanning Range |
| title_sort | application of aperiodic x201c einstein x201d monotile in phased arrays with limited beam scanning range |
| topic | ‘Einstein’ monotile aperiodic tiling grating lobe suppression limited beam scanning range phased array |
| url | https://ieeexplore.ieee.org/document/10753505/ |
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