Gianfranco Di Lorenzo;Erika Stracqualursi;Massimo Marzinotto;Jose Brandão Faria;Rodolfo Araneo
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{"title":"对“深埋海底电缆地面返回参数”的修正","authors":"Gianfranco Di Lorenzo;Erika Stracqualursi;Massimo Marzinotto;Jose Brandão Faria;Rodolfo Araneo","doi":"10.1109/TEMC.2025.3557925","DOIUrl":null,"url":null,"abstract":"In [1], (5b) has a typo; the correct formula is as follows: \\begin{equation*} \\Delta _{6}^{\\mathrm{QT}} = \\int \\nolimits _{0}^{\\infty } \\frac{{\\mathrm{e}}^{-2 \\alpha _{2} h_{ij}}}{\\alpha _{1}+\\alpha _{2}}\\frac{1}{\\alpha _{2}^{2}} \\cos \\left(q_{ij}\\lambda \\right) \\,{\\mathrm{{d}}}\\lambda \\;. \\tag{1} \\end{equation*} In (34), the term $G_{\\mathrm{b}} (\\lambda)$ is missing of the denominator; the correct formula is as follows: \\begin{equation*} \\begin{aligned} G_{\\mathrm{b}} \\left(\\lambda \\right) = &\\\\ =& \\frac{2 \\mu _{1} \\mu _{2} \\alpha _{2} {\\mathrm{e}}^{-\\alpha _{2} \\left(h_{1}+h_{2}-2h_{\\mathrm{s}} \\right) }}{ \\left(A_{10}A_{21}+\\Delta _{10}\\Delta _{21}{\\mathrm{e}}^{-2\\alpha _{1}h_{\\mathrm{s}}} \\right) \\left(s_{10}s_{21}-d_{10}d_{21}{\\mathrm{e}}^{-2\\alpha _{1} h_{\\mathrm{s}}} \\right) } \\cdot \\\\ & \\!\\!\\! \\left\\lbrace \\phantom{\\int }{\\kern-10.0pt} \\left(\\gamma _{2}^{2} \\!-\\ \\gamma _{1}^{2} \\right) \\left( s_{10} A_{10} \\!-\\! d_{10}\\Delta _{10} {\\mathrm{e}}^{-4 \\alpha _{1} h_{\\mathrm{s}}} \\right) \\!-\\! 2 \\mu _{0} \\mu _{1} {\\mathrm{e}}^{-2 \\alpha _{1} h_{\\mathrm{s}}} \\right. \\cdot \\\\ & \\!\\!\\! \\left. \\left[ \\alpha _{0}^{2} \\gamma _{1}^{2} \\left(\\gamma _{2}^{2} - \\gamma _{1}^{2} \\right) + \\alpha _{1}^{2} \\gamma _{0}^{2} \\left(\\gamma _{2}^{2} + \\gamma _{1}^{2} \\right) - 2 \\alpha _{1}^{2} \\gamma _{1}^{2} \\gamma _{2}^{2} \\right] \\phantom{\\int }{\\kern-10.0pt} \\right\\rbrace \\, \\end{aligned} \\tag{2} \\end{equation*}","PeriodicalId":55012,"journal":{"name":"IEEE Transactions on Electromagnetic Compatibility","volume":"67 4","pages":"1375-1375"},"PeriodicalIF":2.5000,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11133709","citationCount":"0","resultStr":"{\"title\":\"Corrections to “Ground-Return Parameters of Submarine Cables Buried in the Seabed”\",\"authors\":\"Gianfranco Di Lorenzo;Erika Stracqualursi;Massimo Marzinotto;Jose Brandão Faria;Rodolfo Araneo\",\"doi\":\"10.1109/TEMC.2025.3557925\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In [1], (5b) has a typo; the correct formula is as follows: \\\\begin{equation*} \\\\Delta _{6}^{\\\\mathrm{QT}} = \\\\int \\\\nolimits _{0}^{\\\\infty } \\\\frac{{\\\\mathrm{e}}^{-2 \\\\alpha _{2} h_{ij}}}{\\\\alpha _{1}+\\\\alpha _{2}}\\\\frac{1}{\\\\alpha _{2}^{2}} \\\\cos \\\\left(q_{ij}\\\\lambda \\\\right) \\\\,{\\\\mathrm{{d}}}\\\\lambda \\\\;. \\\\tag{1} \\\\end{equation*} In (34), the term $G_{\\\\mathrm{b}} (\\\\lambda)$ is missing of the denominator; the correct formula is as follows: \\\\begin{equation*} \\\\begin{aligned} G_{\\\\mathrm{b}} \\\\left(\\\\lambda \\\\right) = &\\\\\\\\ =& \\\\frac{2 \\\\mu _{1} \\\\mu _{2} \\\\alpha _{2} {\\\\mathrm{e}}^{-\\\\alpha _{2} \\\\left(h_{1}+h_{2}-2h_{\\\\mathrm{s}} \\\\right) }}{ \\\\left(A_{10}A_{21}+\\\\Delta _{10}\\\\Delta _{21}{\\\\mathrm{e}}^{-2\\\\alpha _{1}h_{\\\\mathrm{s}}} \\\\right) \\\\left(s_{10}s_{21}-d_{10}d_{21}{\\\\mathrm{e}}^{-2\\\\alpha _{1} h_{\\\\mathrm{s}}} \\\\right) } \\\\cdot \\\\\\\\ & \\\\!\\\\!\\\\! \\\\left\\\\lbrace \\\\phantom{\\\\int }{\\\\kern-10.0pt} \\\\left(\\\\gamma _{2}^{2} \\\\!-\\\\ \\\\gamma _{1}^{2} \\\\right) \\\\left( s_{10} A_{10} \\\\!-\\\\! d_{10}\\\\Delta _{10} {\\\\mathrm{e}}^{-4 \\\\alpha _{1} h_{\\\\mathrm{s}}} \\\\right) \\\\!-\\\\! 2 \\\\mu _{0} \\\\mu _{1} {\\\\mathrm{e}}^{-2 \\\\alpha _{1} h_{\\\\mathrm{s}}} \\\\right. \\\\cdot \\\\\\\\ & \\\\!\\\\!\\\\! \\\\left. \\\\left[ \\\\alpha _{0}^{2} \\\\gamma _{1}^{2} \\\\left(\\\\gamma _{2}^{2} - \\\\gamma _{1}^{2} \\\\right) + \\\\alpha _{1}^{2} \\\\gamma _{0}^{2} \\\\left(\\\\gamma _{2}^{2} + \\\\gamma _{1}^{2} \\\\right) - 2 \\\\alpha _{1}^{2} \\\\gamma _{1}^{2} \\\\gamma _{2}^{2} \\\\right] \\\\phantom{\\\\int }{\\\\kern-10.0pt} \\\\right\\\\rbrace \\\\, \\\\end{aligned} \\\\tag{2} \\\\end{equation*}\",\"PeriodicalId\":55012,\"journal\":{\"name\":\"IEEE Transactions on Electromagnetic Compatibility\",\"volume\":\"67 4\",\"pages\":\"1375-1375\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11133709\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Electromagnetic Compatibility\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/11133709/\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Electromagnetic Compatibility","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/11133709/","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
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