{"title":"Closed-loop Pole Stability Criterion and Quantitative Stability Analysis for High-Order Charge-Pump Phase-Locked Loops","authors":"Zengshuang Wang, Yiting Zhang, Nengxu Zhu, Zenglong Zhao, Keping Wang, Fanyi Meng","doi":"10.1002/mop.70835","DOIUrl":"https://doi.org/10.1002/mop.70835","url":null,"abstract":"<div>\u0000 \u0000 <p>Open-loop phase-margin analysis is widely used to assess the stability of phase-locked loops (PLLs). However, it characterizes only the open-loop frequency response and cannot quantitatively relate closed-loop pole locations to transient dynamics, damping, and resonant peaking, which limits quantitative stability-margin evaluation for high-order charge-pump PLLs. Based on a linear small-signal model and root-locus theory, this work derives the closed-loop pole-zero distributions of second- through fifth-order charge-pump PLLs and establishes a quantitative closed-loop pole constraint for practical stability-margin evaluation: excluding pole-zero doublets, the magnitude of the real part of every pole of the closed-loop transfer function should be greater than one-half of the loop bandwidth. Used together with conventional Bode-plot phase-margin analysis, the proposed criterion enables complementary stability verification in the open-loop frequency domain and the closed-loop complex-frequency domain. A 6 GHz fifth-order PLL frequency source using an active loop filter is evaluated through circuit simulation and three-temperature environmental testing of a 9 × 9 mm microassembled prototype. When the dominant closed-loop poles violate the proposed criterion, the PLL loses lock and drifts toward lower frequencies even though the open-loop phase margin is 45°. After the loop-filter parameters are optimized so that the relevant poles satisfy the criterion, the PLL remains stably locked over the full temperature range and achieves a measured phase noise of −109 dBc/Hz at a 100 kHz offset. The analytical, simulated, and measured results consistently validate the criterion. It is applicable to charge-pump PLLs using second- through fifth-order active or passive loop filters and provides explicit quantitative constraints for the loop-parameter design of RF frequency sources and high-speed clock circuits.</p></div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149206035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Compact Ultra-Wideband Implantable Antenna for Bovine Health Monitoring","authors":"Aketelieke Sailike, Zhiwei Song","doi":"10.1002/mop.70830","DOIUrl":"https://doi.org/10.1002/mop.70830","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper proposes a compact ultra- wideband implantable antenna for dairy cow health monitoring devices. The antenna achieves a miniaturized design by using a loaded U-shaped slot and a shorting probe, with dimensions of only 0.0371<i>λ</i><sub>0</sub> × 0.0371<i>λ</i><sub>0</sub> × 0.0016<i>λ</i><sub>0</sub> (where <i>λ</i><sub>0</sub> is the free-space wavelength corresponding to the lowest operating frequency). The meandering structure of the radiating surface excites two resonance points, resulting in an ultra-wideband characteristic. The simulated results of the proposed antenna cover the frequency band of 1.85–3.71 GHz. Specifically, the 1900 MHz band (mid-band frequency) is utilized for wireless power transfer, while the 2450 MHz band serves for control signal transmission. The peak gains at the corresponding resonant frequencies reach −25.35 and −18.85 dBi, respectively. A prototype was fabricated and tested. The experimental results closely match the simulation results, indicating that the antenna has met the intended design objectives.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Novel Suspension Line Sensor for Detecting Liquid Mixing Uniformity and Dielectric Property","authors":"Qunliang Wang, Yanxiong Wang, Zhao Li","doi":"10.1002/mop.70832","DOIUrl":"https://doi.org/10.1002/mop.70832","url":null,"abstract":"<div>\u0000 \u0000 <p>A low-cost microwave sensor based on suspension line structure fabricated on FR4 substrate is proposed, with the benefits of high sensitivity, high quality (Q) factor, and two operating modes, etc. The suspension line structure includes top and bottom grounded layers etched with hollowed-out resonators. The electromagnetic field is mainly distributed in the air cavity. The upper resonator can be tuned and horizontally moved. Mixing uniformity and dielectric property of liquid solution can be efficiently detected. The numerically established relations are experimentally verified by the fabricated sensor for the mixture of water and ethanol.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205750","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ruiyang Shen, Xiaolin Mi, Xiuli Xu, Qiping Chen, Guo-Min Yang
{"title":"A Novel Miniaturized High Gain Vivaldi Antenna With Enhanced Low-Frequency Directivity","authors":"Ruiyang Shen, Xiaolin Mi, Xiuli Xu, Qiping Chen, Guo-Min Yang","doi":"10.1002/mop.70828","DOIUrl":"https://doi.org/10.1002/mop.70828","url":null,"abstract":"<div>\u0000 \u0000 <p>This letter proposes a novel compact miniaturized Vivaldi antenna, which achieves remarkable size reduction while maintaining excellent low-frequency directional radiation performance. By optimizing the dimension and length of periodic slots on the tapered slot and adopting terminal absorbing resistors, the antenna obtains gain improvement without degrading the impedance bandwidth, offering an effective solution for UWB antenna optimization. Furthermore, a customized triangular director combined with a zero-index metamaterial composite structure is introduced. Making full use of the space at the antenna aperture, it further enhances the low-frequency directivity and improves the overall realized gain. Loading periodic slots on the tapered slot-line contributes to additional gain enhancement. The proposed antenna achieves a realized gain of 4.5–13 dBi across the entire L-band with favorable sidelobe suppression. Featuring compact footprint, high directivity, and low sidelobe level, the antenna is well-suited for radar systems that require high imaging resolution and strong anti-interference capability.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Coding Metasurface Integrated Fabry–Perot Cavity Antenna for Dual-Polarized Broadband Radar Cross Section Reduction","authors":"Yufeng Liu, Jiahao Zhou, Lei Xu, Jiao Zhang","doi":"10.1002/mop.70829","DOIUrl":"https://doi.org/10.1002/mop.70829","url":null,"abstract":"<div>\u0000 \u0000 <p>A coding metasurface integrated into a Fabry–Perot (F–P) cavity antenna is proposed for dual-polarized broadband radar cross section (RCS) reduction. PIN-diode-loaded coding elements are employed to realize binary “0”/“1” states with an approximately 180° reflection-phase difference for two orthogonal polarizations. The coding sequence is optimized by a simulated annealing algorithm to redistribute the backward scattering, while an anisotropic I-shaped ground structure is introduced to suppress the in-band scattering caused by cavity resonance. A prototype is fabricated and measured. The proposed antenna achieves a measured −10 dB impedance bandwidth of 7.75–8.0 GHz, a peak gain of 13.02 dBi, and dual-polarized broadband RCS reduction from 6.5 to 10 GHz. The results validate the proposed design for high-gain antenna applications requiring low-scattering characteristics.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Compact Circularly Polarized Antenna for Wireless Medical Applications","authors":"Jiangli Shang, Haoyi Li, Jinhang Li, Zhiqiang Zhen","doi":"10.1002/mop.70824","DOIUrl":"https://doi.org/10.1002/mop.70824","url":null,"abstract":"<div>\u0000 \u0000 <p>In this article, a compact broadband circularly polarized implantable antenna is produced, operating at the 2.45 GHz Industrial, Scientific, and Medical (ISM) band for wireless medical applications. A multi-layer tissue model is established as the simulation environment, where the antenna is placed at a depth of 3.5 mm beneath the skin surface, without any via holes. The antenna configuration is extremely compact, with a radiator size of only 4 × 4 mm, and the impedance bandwidth of 2.21–2.86 GHz (26.7%) is simulated. By cutting slots of different shapes to increase the current path, the miniaturization and circular polarization characteristics of the antenna are realized, and the 3 dB Axial Ratio bandwidth is 2.35–2.53 GHz (7.36%). The maximum value of the gain is −19.5 dBi at 2.45 GHz. To analyze the distance of wireless communication, the link budget is calculated at data rates of 7 Kbps, 100 Kbps, and 1 Mbps respectively. In addition, the specific absorption rate (SAR) is also calculated to ensure human safety. By setting the proposed antenna in pig skin, the measured impedance bandwidth is as wide as 15.1%, showing that the required ISM frequency band can still be covered.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jing Zhou, Yang Li, Lijie Xu, Feng Huang, Bo Li, Lei Zhu
{"title":"Millimeter-Wave Low-Loss and Wideband Rat-Race Coupler Implementation and Verification Using Micro-Structure Electrochemical Fabrication Process","authors":"Jing Zhou, Yang Li, Lijie Xu, Feng Huang, Bo Li, Lei Zhu","doi":"10.1002/mop.70818","DOIUrl":"https://doi.org/10.1002/mop.70818","url":null,"abstract":"<div>\u0000 \u0000 <p>A millimeter-wave low-loss and wideband rat-race coupler is proposed based on an innovative micro-structure electrochemical fabrication (MEFAB) process. The rat-race coupler contains three quarter-wavelength branch lines and a quarter-wavelength diagonal short-circuited coupled branch line, which are all realized by 10-layer rectangular micro-coaxial lines. The design process involves detailed analysis and optimization of the micro-coaxial line parameters, including impedance and coupling coefficients, to ensure optimal performance across the target frequency range. Measured results show that the rat-race coupler achieves 20 dB isolation, 0.8 dB insertion loss, 0.5 dB amplitude imbalance, and 10° phase difference across the entire design frequency range. These results confirm the coupler's excellent performance, making it highly suitable for millimeter-wave systems, where wide bandwidth, low loss, and compact size are critical.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Miniaturized High-Gain Vivaldi Antenna Based on Irregular Curved Slots and Metasurface","authors":"Jinxin Li, Yabo Li, Ruizhi Liu, Lingrun Zhu, Yilin Jiang, Zhihong Xi","doi":"10.1002/mop.70823","DOIUrl":"https://doi.org/10.1002/mop.70823","url":null,"abstract":"<div>\u0000 \u0000 <p>A compact Vivaldi antenna (0.39λ<sub>0</sub> × 0.37λ<sub>0</sub> × 0.003λ<sub>0</sub>) with enhanced gain performance is proposed in this letter. The antenna covers an ultra-wideband range from 2 to 22 GHz (163%) and achieves an average realized gain of 11 dB. By applying irregular curved slots, the low-band gain has been enhanced within the compact Vivaldi antenna. To reduce return loss and further increase low-band gain, rectangular strips are embedded into curved slots. Additionally, the gain in the high-frequency band is improved by integrating a novel metasurface (MS) array, composed of cross elements of varying lengths arranged at different angles. This design ensures that the total gain of the antenna is evenly distributed over a wide frequency band, with a maximum gain approaching 13 dB. The practical experiments are carried out, and the results show agreement with simulated features.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Lumped CMOS Branch-Line Coupler With Tunable Harmonic Rejection for 5G UHF Applications","authors":"Bo Zhou, Yubiao Wang, Yuanzihan Xu, Pengjun Wang","doi":"10.1002/mop.70800","DOIUrl":"https://doi.org/10.1002/mop.70800","url":null,"abstract":"<div>\u0000 \u0000 <p>A compact on-chip branch-line coupler using lumped elements is proposed for fifth-generation (5G) ultra-high-frequency (UHF) band applications. The proposed topology introduces two cross-coupled capacitors between the diagonally opposite ports of the coupler's network, establishing additional coupling paths for harmonic suppression. The harmonic suppression can be tuned by tuning the cross-coupled capacitors. Moreover, the proposed topology is highly suitable for on-chip integration, as it eliminates the need for via-to-ground connections. Odd- and even-mode analyses are conducted for theoretical analysis. A prototype fabricated using the TSMC 90-nm complementary metal-oxide-semiconductor (CMOS) process occupies an ultra-compact area of only 0.003 × 0.002 λg. Measurements show a third-order harmonic suppression of 32 dB while maintaining an in-band amplitude imbalance below 2 dB and a phase imbalance within 2°. Finally, comparisons with prior art and further discussion are also provided.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149145869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hybrid Bandwidth-Extension Techniques for Dual-Polarized Antenna and Its Array for Base Station Applications","authors":"Chun-Rong Li, Rui Wu, Hao Weng, Fu-Chang Chen","doi":"10.1002/mop.70788","DOIUrl":"https://doi.org/10.1002/mop.70788","url":null,"abstract":"<div>\u0000 \u0000 <p>A broadband dual-polarized base station antenna is proposed in this letter. Based on a conventional planar dipole antenna, the proposed design successfully excites the third and fourth resonances by introducing triangular slots and a reflector, significantly extending the impedance bandwidth. Independent resonance tuning capability is achieved using rectangular patches and <span>l</span>-shaped stubs. More importantly, a novel metasurface (MS) is loaded above the radiator, which simultaneously improves gain and impedance matching while reducing the profile height. Measured results demonstrate that the antenna achieves an impedance bandwidth of 95% (1.85−5.2 GHz). A 1 × 2 antenna array was fabricated to validate the scalability of the design, and the array achieves an average gain of 11.5 dBi. The proposed antenna exhibits excellent wideband performance and high gain, making it a highly suitable candidate for modern base station applications covering 3, 4, and 5 G frequency bands.</p>\u0000 </div>","PeriodicalId":18562,"journal":{"name":"Microwave and Optical Technology Letters","volume":"68 10","pages":""},"PeriodicalIF":1.1,"publicationDate":"2026-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149145780","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}