{"title":"Closed-form expressions for some of the integrals related to the method of Kobayashi potential","authors":"B. Honarbakhsh","doi":"10.1016/j.amc.2024.128970","DOIUrl":null,"url":null,"abstract":"<div><p>Closed-form solutions are derived for some improper integrals used in the Kobayashi Potential (KP) method, using the calculus of residues. These integrals are categorized as waveguiding and radiating, which are single-valued and double-valued, respectively. Both classifications are considered for interior and exterior regions, with respect to the discontinuous boundary. Fourier functional space is used to facilitate contour integration for interior problems. It has been demonstrated that radiating integrals are a limiting case of waveguiding integrals. Therefore, the same strategy can be applied to both types of integrals.</p></div>","PeriodicalId":3,"journal":{"name":"ACS Applied Electronic Materials","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Electronic Materials","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300324004314","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
Closed-form solutions are derived for some improper integrals used in the Kobayashi Potential (KP) method, using the calculus of residues. These integrals are categorized as waveguiding and radiating, which are single-valued and double-valued, respectively. Both classifications are considered for interior and exterior regions, with respect to the discontinuous boundary. Fourier functional space is used to facilitate contour integration for interior problems. It has been demonstrated that radiating integrals are a limiting case of waveguiding integrals. Therefore, the same strategy can be applied to both types of integrals.
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