{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:40:54Z","timestamp":1760236854683,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2021,12,31]],"date-time":"2021-12-31T00:00:00Z","timestamp":1640908800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Passive intermodulation (PIM) generated from antennas is a nonlinear distortion phenomenon and causes serious problems to communication quality. Traditional radio frequency (RF) solutions focus on testing the final product to find the PIM source. However, it cannot solve the stability of PIM after the antenna is vibrated. This paper introduces a new method to improve the stability of PIM in the design phase. By studying the mechanism of PIM generation, a simulation method is proposed in this paper by applying mechanical finite element simulation and simulating the structural design of the device under test. Then, the stress at the PIM source is reduced, thereby the PIM stability of the product is improved. This paper adopts this method by studying a typical product, finding the root cause that affects the product PIM magnitude and stability, and optimizing its design. The PIM value of the new scheme is stable by making a prototype and testing. The method provided in this article can effectively improve product development efficiency and assist designers in avoiding the risks of PIM before the product\u2019s manufacturing.<\/jats:p>","DOI":"10.3390\/s22010294","type":"journal-article","created":{"date-parts":[[2022,1,9]],"date-time":"2022-01-09T23:08:26Z","timestamp":1641769706000},"page":"294","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Mechanical Modelling and Simulation Method for Resolving PIM Problems in Antennas"],"prefix":"10.3390","volume":"22","author":[{"given":"Chen","family":"Chen","sequence":"first","affiliation":[{"name":"College of Mechanical and Electronic Engineering, Northeast Forestry University, Harbin 150040, China"}]},{"given":"Yangyang","family":"Gu","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Soochow University, Suzhou 215006, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,12,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1109\/TEMC.1980.303873","article-title":"Nonlinearities in metal contacts at microwave frequencies","volume":"EMC-22","author":"Arazm","year":"1980","journal-title":"IEEE Trans. Electromagn. Compat."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1207","DOI":"10.1109\/TEMC.2018.2809449","article-title":"Analytic passive intermodulation behavior on the coaxial connector using Monte Carlo approximation","volume":"60","author":"Chen","year":"2018","journal-title":"IEEE Trans. Electromagn. Compat."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1027","DOI":"10.1109\/TEMC.2017.2654818","article-title":"Reconfigurable passive intermodulation behavior on nickel-coated cell array","volume":"59","author":"Chen","year":"2017","journal-title":"IEEE Trans. Electromagn. Compat."},{"key":"ref_4","unstructured":"Golikov, V., Hienonen, S., and Vainikainen, P. (2001, January 7\u201311). Passive intermodulation distortion measurements in mobile communication antennas. Proceedings of the IEEE 54th Vehicular Technology Conference, Atlantic City, NJ, USA."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1049\/ecej:19900029","article-title":"Passive Intermodulation interference in communication systems","volume":"2","author":"Lui","year":"1990","journal-title":"Electron. Commun. Eng. J."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Hoeber, C.F., Pollard, D.L., and Nicholas, R.R. (1986, January 17\u201320). Passive intermodulation product generation in high power communications satellites. Proceedings of the 11th Communications Satellite Systems Conference, San Diego, CA, USA.","DOI":"10.2514\/6.1986-657"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Vicente, C., Wolk, D., Hartnagel, H.L., and Raboso, D. (2006, January 11\u201316). An experimental investigation on passive intermodulation at rectangular waveguide interfaces. Proceedings of the 2006 IEEE MTT-S International Microwave Symposium Digest, San Francisco, CA, USA.","DOI":"10.1109\/MWSYM.2006.249477"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"661","DOI":"10.1109\/TEMC.2004.837958","article-title":"Near-field scanner for the detection of passive intermodulation sources in base station antennas","volume":"46","author":"Hienonen","year":"2004","journal-title":"IEEE Trans. Electromagn. Compat."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2279","DOI":"10.1109\/TMTT.2017.2668402","article-title":"Analytic Passive Intermodulation Model for Flange Connection Based on Metallic Contact Nonlinearity Approximation","volume":"65","author":"Zhao","year":"2017","journal-title":"IEEE Trans. Microw. Theory Technol."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Ng, K.J., Islam, M.T., Alevy, A.M., and Mansor, M.F. (2020). Ultralow Profile, Low Passive Intermodulation, and Super-Wideband Ceiling Mount Antennas for Cellular and Public Safety Distributed Antenna Systems. Sensors, 20.","DOI":"10.3390\/s20092456"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Li, Y., Zhou, H.-N., Shi, Y., Fang, C.-C., and Tian, W. (2020, January 7\u20139). The Influence of Metal Contact Surface Roughness on Third-Order Passive Intermodulation. Proceedings of the 2020 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), Hangzhou, China.","DOI":"10.1109\/NEMO49486.2020.9343583"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1109\/TCPMT.2020.3033329","article-title":"Modeling of Signal Distortion Caused by Passive Intermodulation and Cross Modulation in Coaxial Connectors","volume":"11","author":"Bi","year":"2021","journal-title":"IEEE Trans. Compon. Packag. Manuf. Technol."},{"key":"ref_13","first-page":"58","article-title":"Calculation and Verification of Passive Intermodulation Caused by Electrothermal Coupling on Microstrip Transmission Line","volume":"52","author":"WAN","year":"2018","journal-title":"J. Xi\u2019an Jiaotong Univ."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Kimino, T., and Kuga, N. (2021, January 25\u201328). Basic consideration on non-contact localization for a PIM source in array antenna. Proceedings of the 2020 International Symposium on Antennas and Propagation (ISAP), Osaka, Japan.","DOI":"10.23919\/ISAP47053.2021.9391124"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Chen, X., and Ren, T. (2020, January 13\u201315). Overview of PIM test calibrations with its improvement by tunable PIM standard. Proceedings of the 2020 IEEE 3rd International Conference on Electronic Information and Communication Technology (ICEICT), Shenzhen, China.","DOI":"10.1109\/ICEICT51264.2020.9334239"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Chen, Z., Li, C., and Ran, L. (2020, January 26\u201329). Algorithms and Wideband Architecture for PIM localizations. Proceedings of the 2020 IEEE Radio and Wireless Symposium (RWS), San Antonio, TX, USA.","DOI":"10.1109\/RWS45077.2020.9050018"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/mmce.22243","article-title":"Passive intermodulation of printed dipole antennas: Modeling, evaluation, and experiment","volume":"30","author":"Guo","year":"2020","journal-title":"Int. J. RF Microw. Comput. -Aided Eng."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1516","DOI":"10.1109\/TAP.2017.2786304","article-title":"Prediction of Passive Intermodulation on Mesh Reflector Antenna Using Collaborative Simulation: Multiscale Equivalent Method and Nonlinear Model","volume":"66","author":"Dongwei","year":"2018","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Bai, H., and Cui, W. (2015, January 7\u201310). Simulation of PIM generated on the mesh reflector. Proceedings of the 2015 European Microwave Conference (EuMC), Paris, France.","DOI":"10.1109\/EuMC.2015.7345835"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1376","DOI":"10.1109\/TEMC.2020.2991392","article-title":"Near-Field Scan of Multiple Noncorrelated Sources Using Blind Source Separation","volume":"62","author":"Liu","year":"2020","journal-title":"Electromagn. Compat. IEEE Trans."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1279","DOI":"10.1109\/TEMC.2018.2803734","article-title":"Notice of Retraction: A Measurement Method for Passive Intermodulation Chamber Performance Evaluation","volume":"60","author":"Cai","year":"2018","journal-title":"IEEE Trans. Electromagn. Compat."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"109118","DOI":"10.1016\/j.measurement.2021.109118","article-title":"Novel cost-effective passive intermodulation measurement technique using a single power amplifier","volume":"176","author":"Tariq","year":"2021","journal-title":"Measurement"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"5754","DOI":"10.1109\/TVT.2015.2483738","article-title":"Evaluation of Passive Intermodulation Using Full-Wave Frequency-Domain Method with Nonlinear Circuit Model","volume":"65","author":"Liu","year":"2016","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2515","DOI":"10.1109\/TMTT.2005.852771","article-title":"Passive-Intermodulation Analysis between Rough Rectangular Waveguide Flanges","volume":"53","author":"Hartnagel","year":"2005","journal-title":"IEEE Trans. Microw. Theory Technol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2717","DOI":"10.1109\/TMTT.2008.2007084","article-title":"Electro-thermal theory of intermodulation distortion in lossy microwave components","volume":"56","author":"Wilkerson","year":"2008","journal-title":"IEEE Trans. Microwave Theory Technol."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Aniktar, H., Baran, D., Karav, E., Birecik, Y.S., and Sezgin, M. (2015). Getting the Bugs Out: A Portable Harmonic Radar System for Electronic Cuntersurveillance Applications. IEEE Microw. Mag., 40\u201352.","DOI":"10.1109\/MMM.2015.2465591"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1346","DOI":"10.1109\/TMTT.2019.2893193","article-title":"Modeling of Passive Intermodulation in Connectors With Coating Material and Iron Content in Base Brass","volume":"67","author":"Jin","year":"2019","journal-title":"IEEE Trans. Microw. Theory Tech."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1016\/j.ijnonlinmec.2013.08.011","article-title":"Analysis of Subcombination Internal Resonances in a Non-linear Cantilever Beam of Varying Orientation with Tip Mass","volume":"58","author":"Yaman","year":"2014","journal-title":"Int. J. Non. Linear. Mech."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"012089","DOI":"10.1088\/1742-6596\/744\/1\/012089","article-title":"Fatigue Damage Spectrum calculation in a Mission Synthesis procedure for Sine-on-Random excitations","volume":"744","author":"Angeli","year":"2016","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1874","DOI":"10.1109\/TIM.2016.2555118","article-title":"A smart measurement system with improved low-frequency response to detect moving charged debris","volume":"65","author":"Addabbo","year":"2016","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Hou, B., Zhou, B., Song, M., Lin, Z., and Zhnag, R. (2016). A Novel Single-Excitation Capacitive Angular Position Sensor Design. Sensors, 16.","DOI":"10.3390\/s16081196"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1601","DOI":"10.1109\/TEC.2016.2565265","article-title":"Empirical vibration synthesis method for electric machines by transfer functions and electromagnetic analysis","volume":"31","author":"Saito","year":"2016","journal-title":"IEEE Trans. Energy Convers."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/1\/294\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:56:48Z","timestamp":1760169408000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/1\/294"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,31]]},"references-count":32,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2022,1]]}},"alternative-id":["s22010294"],"URL":"https:\/\/doi.org\/10.3390\/s22010294","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2021,12,31]]}}}