{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,26]],"date-time":"2026-06-26T18:49:09Z","timestamp":1782499749806,"version":"3.54.5"},"reference-count":39,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,1,18]],"date-time":"2022-01-18T00:00:00Z","timestamp":1642464000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the National Key Research and Development Program of China","award":["2019YFB2004800"],"award-info":[{"award-number":["2019YFB2004800"]}]},{"name":"the National Natural Science Foundation of China Youth Fund","award":["62001430"],"award-info":[{"award-number":["62001430"]}]},{"name":"Shanxi \u201c1331 Project\u201d Key Subject Construction","award":["1331KSC"],"award-info":[{"award-number":["1331KSC"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Due to the excellent directivity, strong penetrability, and no electromagnetic shielding effect, ultrasonic waves have good potential for wireless energy transmission and information transfer inside and outside of sealed metal devices. However, traditional ultrasonic based energy transmission methods usually result in considerable energy consumption because of the impedance mismatch during the impedance modulation of the communication. This paper presents an optimal design method for efficient energy transfer during ultrasonic communication. The channel equivalent circuit model is established by only using the acoustic-electric channel scattering parameters. According to the equivalent circuit model, the channel impedance matches with a weak mismatch state is performed during the communication. In this way, the impedance modulation effect is ensured with a lower decrease in the energy transmission efficiency. Finally, the simultaneous energy transmission and impedance modulation are carried out through the 11 mm thick 304 stainless steel plate. The transmission power is 37.86 W with a transmission efficiency of 45.75%, and the modulation rate is 10 Kbps. Compared with the traditional methods, our proposed energy transmission efficiency is increased by 17.62%. The results verify the proposed method\u2019s effectiveness and the high accuracy of the model. The proposed method has great engineering applications and broad prospects in condition monitoring of metallic environments.<\/jats:p>","DOI":"10.3390\/s22030727","type":"journal-article","created":{"date-parts":[[2022,1,18]],"date-time":"2022-01-18T22:47:32Z","timestamp":1642546052000},"page":"727","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["An Optimal Design Method for Improving the Efficiency of Ultrasonic Wireless Power Transmission during Communication"],"prefix":"10.3390","volume":"22","author":[{"given":"Yu","family":"Li","sequence":"first","affiliation":[{"name":"Key Laboratory of Instrumentation Science & Dynamic Measurement Ministry of Education, North University of China, Taiyuan 030051, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Juan","family":"Cui","sequence":"additional","affiliation":[{"name":"Key Laboratory of Instrumentation Science & Dynamic Measurement Ministry of Education, North University of China, Taiyuan 030051, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gang","family":"Li","sequence":"additional","affiliation":[{"name":"Key Laboratory of Instrumentation Science & Dynamic Measurement Ministry of Education, North University of China, Taiyuan 030051, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lu","family":"Liu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Instrumentation Science & Dynamic Measurement Ministry of Education, North University of China, Taiyuan 030051, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yongqiu","family":"Zheng","sequence":"additional","affiliation":[{"name":"Key Laboratory of Instrumentation Science & Dynamic Measurement Ministry of Education, North University of China, Taiyuan 030051, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Junbin","family":"Zang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Instrumentation Science & Dynamic Measurement Ministry of Education, North University of China, Taiyuan 030051, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chenyang","family":"Xue","sequence":"additional","affiliation":[{"name":"Key Laboratory of Instrumentation Science & Dynamic Measurement Ministry of Education, North University of China, Taiyuan 030051, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"151914","DOI":"10.1016\/j.jnucmat.2019.151914","article-title":"The sporadic history of rubidium and its role in corrosion of steel related to nuclear material storage","volume":"530","author":"Asmussen","year":"2020","journal-title":"J. Nucl. Mater."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"554104","DOI":"10.1155\/2021\/5541047","article-title":"The advancement of neutron shielding materials for the storage of spent nuclear fuel","volume":"2021","author":"Fu","year":"2021","journal-title":"Sci. Technol. Nucl. Install."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Grilli, M., Valerini, D., Slobozeanu, A., Postolnyi, B., Balos, S., Rizzo, A., and Piticescu, R. (2021). Critical raw materials saving by protective coatings under extreme conditions: A review of last trends in alloys and coatings for aerospace engine applications. Materials, 14.","DOI":"10.3390\/ma14071656"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"986","DOI":"10.5006\/0894","article-title":"Container materials for the storage and disposal of nuclear waste","volume":"69","author":"King","year":"2013","journal-title":"Corrosion"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1108\/AEAT-07-2020-0132","article-title":"Online monitoring experiments of turbo-shaft engine based on electrostatic sensor","volume":"93","author":"Guo","year":"2021","journal-title":"Aircr. Eng. Aerosp. Technol."},{"key":"ref_6","first-page":"80351","article-title":"A high-temperature acoustic-electric system for power delivery and data communication through thick metallic barriers","volume":"8035","author":"Lawry","year":"2011","journal-title":"Energy Harvest. Storage Mater. Devices Appl. II"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"299","DOI":"10.2514\/1.B34523","article-title":"Detectability of delaminations in solid rocket motors with embedded stress sensors","volume":"29","author":"Le","year":"2013","journal-title":"J. Propuls. Power"},{"key":"ref_8","first-page":"13","article-title":"Structural health monitoring of aircraft reciprocating engine based on principal component analysis (PCA)","volume":"6","author":"Kim","year":"2012","journal-title":"J. Aerosp. Syst. Eng."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2416","DOI":"10.1121\/1.396320","article-title":"Specific acoustic impedances of piezoelectric ceramic and polymer composites used in medical applications","volume":"83","author":"Bui","year":"1988","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_10","first-page":"6","article-title":"Sound impedance characteristics of metal material\u2019s acoustic emission signal propagation","volume":"38","author":"Hanying","year":"2019","journal-title":"J. Vib. Shock"},{"key":"ref_11","unstructured":"Connor, D.J., Cummings, G.F., and Star, M.J. (1997). Acoustic Transformer with Non-Piezoelectric Core. (5594705), U.S. Patent."},{"key":"ref_12","first-page":"69300Z","article-title":"High-power piezoelectric acoustic-electric power feedthru for metal walls","volume":"6930","author":"Bao","year":"2008","journal-title":"Ind. Commer. Appl. Smart Struct. Technol."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"773","DOI":"10.1109\/TUFFC.2003.1214497","article-title":"Transmitting electric energy through a metal wall by acoustic waves using piezoelectric transducers","volume":"50","author":"Hu","year":"2003","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control"},{"key":"ref_14","unstructured":"Lawry, T. (2011). A High Performance System for Wireless Transmission of Power and Data through Solid Metal Enclosures, Rensselaer Polytechnic Institute."},{"key":"ref_15","first-page":"768314","article-title":"Electrical optimization of power delivery through thick steel barriers using piezoelectric transducers","volume":"7683","author":"Lawry","year":"2010","journal-title":"Energy Harvest. Storage Mater. Devices Appl."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1016\/j.jsv.2009.04.002","article-title":"Power transmission through a hollow cylinder by acoustic waves and piezoelectric transducers with radial polarization","volume":"325","author":"Yang","year":"2009","journal-title":"J. Sound Vib."},{"key":"ref_17","first-page":"362","article-title":"Efficient electromechanical network model for wireless acoustic-electric feed-throughs","volume":"5758","author":"Sherrit","year":"2005","journal-title":"Smart Struct. Mater. 2005 Smart Sens. Technol. Meas. Syst."},{"key":"ref_18","first-page":"617102","article-title":"Studies of acoustic-electric feed-throughs for power transmission through structures","volume":"6171","author":"Sherrit","year":"2006","journal-title":"Smart Struct. Mater. 2006 Ind. Commer. Appl. Smart Struct. Technol."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Yang, H., Wu, M., Yu, Z., and Yang, J. (2018). An ultrasonic through-metal-wall power transfer system with regulated DC output. Appl. Sci., 8.","DOI":"10.3390\/app8050692"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1109\/TUFFC.2013.2600","article-title":"A full-duplex ultrasonic through-wall communication and power delivery system","volume":"60","author":"Ashdown","year":"2013","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Bielinski, M., Wanuga, K., Primerano, R., Kam, M., and Dandekar, K.R. (2011, January 5\u20139). Application of adaptive OFDM bit loading for high data rate through-metal communication. Proceedings of the IEEE Global Telecommunications Conference, Houston, TX, USA.","DOI":"10.1109\/GLOCOM.2011.6134139"},{"key":"ref_22","first-page":"121","article-title":"Transceiver design for high-data rate through-metal communication in naval applications","volume":"125","author":"Bielinski","year":"2013","journal-title":"Nav. Eng. J."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Murphy, T.L. (2006). Ultrasonic Digital Communication System for a Steel Wall Multipath Channel: Methods and Results. [Master\u2019s Thesis, Rensselaer Polytechnic Institute].","DOI":"10.2172\/881291"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Primerano, R., Kam, M., and Dandekar, K. (2009, January 18\u201320). High bit rate ultrasonic communication through metal channels. Proceedings of the 43rd Annual Conference on Information Sciences and Systems, Baltimore, MD, USA.","DOI":"10.1109\/CISS.2009.5054845"},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Primerano, R., Wanuga, K., Dorn, J., Kam, M., and Dandekar, K. (2007, January 14\u201316). Echo-cancellation for ultrasonic data transmission through a metal channel. Proceedings of the 41st Annual Conference on Information Sciences and Systems, Baltimore, MD, USA.","DOI":"10.1109\/CISS.2007.4298426"},{"key":"ref_26","first-page":"1385","article-title":"Phrough-wall communication of low-rate digital data using ultrasound","volume":"1","author":"Saulnier","year":"2006","journal-title":"Proc. IEEE Ultrason Symp."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"2051","DOI":"10.1109\/TUFFC.2012.2426","article-title":"High-data-rate ultrasonic through-metal communication","volume":"59","author":"Wanuga","year":"2012","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Zhang, J., Yu, Z., Yang, H., Wu, M., and Yang, J. (2015, January 2\u20134). Wireless communication using ultrasound through metal barriers: Experiment and analysis. Proceedings of the 10th International Conference on Information, Communications and Signal Processing, Singapore.","DOI":"10.1109\/ICICS.2015.7459888"},{"key":"ref_29","unstructured":"Chase, R. (2013). Microcontroller Based Handheld Acoustic Communication & Power Delivery through Metallic Barriers, Rensselaer Polytechnic Institute."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1109\/JSSC.2015.2427336","article-title":"A mm-sized implantable medical device (IMD) with ultrasonic power transfer and a hybrid bi-directional data link","volume":"50","author":"Charthad","year":"2015","journal-title":"IEEE J. Solid-State Circuits"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1526","DOI":"10.1109\/TUFFC.2017.2737620","article-title":"Wireless power transfer to millimeter-sized nodes using airborne ultrasound","volume":"64","author":"Rekhi","year":"2017","journal-title":"IEEE Trans. Ultrason. Ferroelectr. Freq. Control."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"111863","DOI":"10.1016\/j.sna.2020.111863","article-title":"Characterization of a parametric resonance based capacitive ultrasonic transducer in air for acoustic power transfer and sensing","volume":"303","author":"Surappa","year":"2020","journal-title":"Sens. Actuators A Phys."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"106395","DOI":"10.1016\/j.ultras.2021.106395","article-title":"Ultrasonic wireless power links for battery-free condition monitoring in metallic enclosures","volume":"114","author":"Fu","year":"2021","journal-title":"Ultrasonics"},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Lawry, T.J., Saulnier, G.J., Ashdown, J.D., Wilt, K.R., Scarton, H.A., Pascarelle, S., and Pinezich, J.D. (2011, January 7\u201310). Penetration-free system for transmission of data and power through solid metal barriers. Proceedings of the IEEE Military Communications Conference, Baltimore, MD, USA.","DOI":"10.1109\/MILCOM.2011.6127699"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Shoudy, D.A., Saulnier, G.J., Scarton, H.A., Das, P.K., Roa-Prada, S., Ashdown, J.D., and Gavens, A.J. (2007, January 28\u201331). An ultrasonic through-wall communication system with power harvesting. Proceedings of the IEEE Ultrasonics Symposium, New York, NY, USA.","DOI":"10.1109\/ULTSYM.2007.465"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"5550","DOI":"10.1109\/JSEN.2018.2839558","article-title":"Acoustic power transfer and communication with a wireless sensor embedded within metal","volume":"18","author":"Tseng","year":"2018","journal-title":"IEEE Sens. J."},{"key":"ref_37","first-page":"92","article-title":"Power waves and conjugate matching","volume":"55","author":"Rahola","year":"2008","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Reveyrand, T. (2018, January 5\u20136). Multiport conversions between S, Z, Y, h, ABCD, and T parameters. Proceedings of the 2018 International Workshop on Integrated Nonlinear Microwave and Millimetre-Wave Circuits (INMMIC), Brive La Gaillarde, France.","DOI":"10.1109\/INMMIC.2018.8430023"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"1929","DOI":"10.1016\/j.ultras.2014.04.019","article-title":"Simultaneous backward data transmission and power harvesting in an ultrasonic transcutaneous energy transfer link employing acoustically dependent electric impedance modulation","volume":"54","author":"Ozeri","year":"2014","journal-title":"Ultrasonics"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/3\/727\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:03:39Z","timestamp":1760133819000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/3\/727"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,18]]},"references-count":39,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2022,2]]}},"alternative-id":["s22030727"],"URL":"https:\/\/doi.org\/10.3390\/s22030727","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1,18]]}}}