{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,29]],"date-time":"2025-12-29T22:03:57Z","timestamp":1767045837825,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,2,15]],"date-time":"2023-02-15T00:00:00Z","timestamp":1676419200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Hanoi University of Science and Technology","award":["T2021-SAHEP-004"],"award-info":[{"award-number":["T2021-SAHEP-004"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, we propose an algorithm for estimating the beam aperture of the acoustic transducers by using the geometric backscattering model for side-scan sonar systems. The geometric backscattering model is developed to describe the propagation paths of the signal transmitted from the transducers towards the seabed and backscatters to the hydrophones. To evaluate our proposed algorithm, we have developed a side-scan sonar system. The side-scan sonar system uses two transducers, operating on two different frequencies and focusing on two different wave beams, to scan the images of the seabed. The proposed algorithm provides the estimated beam apertures of each transducer. Our obtained results agree quite well with the parameters provided by the manufacturers. Moreover, these results are used to calibrate the scanned images. We provide the scanned sonar 3D images of the Dong Do lakebed, Vietnam, to justify our proposal.<\/jats:p>","DOI":"10.3390\/s23042190","type":"journal-article","created":{"date-parts":[[2023,2,15]],"date-time":"2023-02-15T04:47:24Z","timestamp":1676436444000},"page":"2190","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Estimation of the Acoustic Transducer Beam Aperture by Using the Geometric Backscattering Model for Side-Scan Sonar Systems"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1414-4032","authenticated-orcid":false,"given":"Van Duc","family":"Nguyen","sequence":"first","affiliation":[{"name":"School of Electrical and Electronic Engineering, Hanoi University of Science and Technology, Hanoi 100000, Vietnam"}]},{"given":"Ngoc Minh","family":"Luu","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronic Engineering, Hanoi University of Science and Technology, Hanoi 100000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9533-4390","authenticated-orcid":false,"given":"Quoc Khuong","family":"Nguyen","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronic Engineering, Hanoi University of Science and Technology, Hanoi 100000, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0064-4044","authenticated-orcid":false,"given":"Tien-Dung","family":"Nguyen","sequence":"additional","affiliation":[{"name":"School of Electrical and Electronic Engineering, Hanoi University of Science and Technology, Hanoi 100000, Vietnam"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Sun, K., Cui, W., and Chen, C. (2021). Review of Underwater Sensing Technologies and Applications. Sensors, 21.","DOI":"10.3390\/s21237849"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Llorens-Escrich, S., Tamarit, E., Hernandis, S., S\u00e1nchez-Carnero, N., Rodilla, M., P\u00e9rez-Arjona, I., Moszynski, M., Puig-Pons, V., Tena-Medialdea, J., and Espinosa, V. (2021). Vertical Configuration of a Side Scan Sonar for the Monitoring of Posidonia oceanica Meadows. J. Mar. Sci. Eng., 9.","DOI":"10.3390\/jmse9121332"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"250","DOI":"10.1016\/j.ecss.2018.04.017","article-title":"Side scan sonar: A cost-efficient alternative method for measuring seagrass cover in shallow environments","volume":"207","author":"Greene","year":"2018","journal-title":"Estuar. Coast. Shelf Sci."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Kuperman, W.A., and Roux, P. (2007). Underwater acoustics. InSpringer Handbook of Acoustics, Springer.","DOI":"10.1007\/978-0-387-30425-0_5"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Yan, J., Meng, J., and Zhao, J. (2019). Real-time bottom tracking using side scan sonar data through one-dimensional convolutional neural networks. Remote Sens., 12.","DOI":"10.3390\/rs12010037"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1109\/JOE.2008.924837","article-title":"Bathymetric sidescan sonar bottom estimation accuracy: Tilt angles and waveforms","volume":"33","author":"Bird","year":"2008","journal-title":"IEEE J. Ocean. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Bobber, R.J. (1970). Underwater Electroacoustic Measurements, Naval Research Laboratory.","DOI":"10.21236\/AD0717318"},{"key":"ref_8","unstructured":"Long, M. (2005). Architectural Acoustics, Elsevier."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/s11001-018-9350-y","article-title":"Backscattering from a sandy seabed measured by a calibrated multibeam echosounder in the 190\u2013400 kHz frequency range","volume":"39","author":"Wendelboe","year":"2018","journal-title":"Mar. Geophys. Res."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Sridhar, P., Malarkodi, A., Nithyanandam, K., and Latha, G. (2015, January 18\u201320). Development of directivity measurement system for underwater acoustic transducers. Proceedings of the 2015 International Symposium on Ocean Electronics (SYMPOL), Kochi, India.","DOI":"10.1109\/SYMPOL.2015.7581170"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"882","DOI":"10.1093\/icesjms\/fst177","article-title":"Seabed classification using surface backscattering strength versus acoustic frequency and incidence angle measured with vertical, split-beam echosounders","volume":"71","author":"Cutter","year":"2014","journal-title":"ICES J. Mar. Sci."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Xu, L., and Xu, T. (2016). Digital Underwater Acoustic Communications, Academic Press.","DOI":"10.1016\/B978-0-12-803009-7.00004-0"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Yan, J., Meng, J., and Zhao, J. (2021). Bottom Detection from Backscatter Data of Conventional Side Scan Sonars through 1D-UNet. Remote Sens., 13.","DOI":"10.3390\/rs13051024"},{"key":"ref_14","unstructured":"International Hydrographic Organization (2010). IHO Publication C-13 Manual on Hydrography, International Hydrographic Organization."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Li, Q. (2012). Digital Sonar Design in Underwater Acoustics, Springer.","DOI":"10.1007\/978-3-642-18290-7"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Blondel, P. (2010). The Handbook of Sidescan Sonar, Springer Science & Business Media.","DOI":"10.1007\/978-3-540-49886-5"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Shih, C.C., Horng, M.F., Tseng, Y.R., Su, C.F., and Chen, C.Y. (2019, January 16\u201319). An adaptive bottom tracking algorithm for side-scan sonar seabed mapping. Proceedings of the 2019 IEEE Underwater Technology (UT), Kaohsiung, Taiwan.","DOI":"10.1109\/UT.2019.8734291"},{"key":"ref_18","first-page":"20","article-title":"Introducing Sonar Technology as a Tool for Underwater Cave Surveying","volume":"94","author":"Dobson","year":"2016","journal-title":"BCRA Cave Radio Electron. Group"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Pimentel, V.B., Florentino, C., Nascimento, G.A.G., and Carvalho, R.C. (2017, January 25\u201327). Use of AUV with side scan sonar embedded to testify targets in anchoring areas. Proceedings of the 2017 IEEE\/OES Acoustics in Underwater Geosciences Symposium (RIO Acoustics), Rio de Janeiro, Brazil.","DOI":"10.1109\/RIOAcoustics.2017.8349707"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"896","DOI":"10.1121\/1.388170","article-title":"Sound absorption based on ocean measurements: Part I: Pure water and magnesium sulfate contributions","volume":"72","author":"Francois","year":"1982","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1879","DOI":"10.1121\/1.388673","article-title":"Sound absorption based on ocean measurements. Part II: Boric acid contribution and equation for total absorption","volume":"72","author":"Francois","year":"1982","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_22","unstructured":"Lurton, X. (2002). An Introduction to Underwater Acoustics: Principles and Applications, Springer Science & Business Media."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1781","DOI":"10.1016\/j.measurement.2011.07.011","article-title":"Systematic errors and measurement uncertainty: An experimental approach","volume":"44","author":"Attivissimo","year":"2011","journal-title":"Measurement"},{"key":"ref_24","unstructured":"Benthowave Instrument Inc. (2023, January 11). Available online: https:\/\/www.benthowave.com\/products\/BII-7560echosounder.html."},{"key":"ref_25","unstructured":"LuckySonar (2019). Transducer Mode OperationManuals, LuckySonar."},{"key":"ref_26","unstructured":"JICArp (2003). Study on Nationwide Water Resources Development and Management in the Socialist Republic of Vietnam, NIKKEN Consultants, Inc.. Technical Report."},{"key":"ref_27","first-page":"59","article-title":"Parameterization of the ellipse based on the valencia\u2019s sphere, without to use a cartesian coordinate system","volume":"16","year":"2018","journal-title":"Ann. Fac. Eng. Hunedoara"},{"key":"ref_28","unstructured":"Raphson, J. (1697). Analysis \u00c6equationum, Thomas Bradyll."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"3878","DOI":"10.1109\/LCOMM.2021.3116036","article-title":"Adaptive Task Offloading in Coded Edge Computing: A Deep Reinforcement Learning Approach","volume":"25","author":"Hieu","year":"2021","journal-title":"IEEE Commun. Lett."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"648","DOI":"10.1121\/1.1909768","article-title":"Deep-ocean sound attenuation in the sub-and low-kilocycle-per-second region","volume":"38","author":"Thorp","year":"1965","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1121\/1.381574","article-title":"Sound absorption in sea water","volume":"62","author":"Fisher","year":"1977","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_32","unstructured":"Leroy, C. (1967). Sound Propagation in the Mediterranean Sea, SACLANT ASW Research Center."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/4\/2190\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:36:22Z","timestamp":1760121382000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/23\/4\/2190"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,15]]},"references-count":32,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["s23042190"],"URL":"https:\/\/doi.org\/10.3390\/s23042190","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2023,2,15]]}}}