{"title":"Critical Values in Inverse Scattering Theory","authors":"D. Colton","doi":"10.1201/9781420035971.CH6","DOIUrl":"https://doi.org/10.1201/9781420035971.CH6","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115486060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Far-Field Expansion Theorem in Thermoelastic Scattering","authors":"G. Dassios","doi":"10.1201/9781420035971.CH8","DOIUrl":"https://doi.org/10.1201/9781420035971.CH8","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123396568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Asymptotic Wave Interpretation of Sonar Reflections from a Rough Surface","authors":"M. Cheney, N. Bleistein","doi":"10.1201/9781420035971.CH5","DOIUrl":"https://doi.org/10.1201/9781420035971.CH5","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131767530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Recollections of Ralph Kleinman","authors":"M. Cheney","doi":"10.1201/9781420035971.CH4","DOIUrl":"https://doi.org/10.1201/9781420035971.CH4","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"2 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133219808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Inverse Problems for the Wave Equation with Time Dependent Potentials","authors":"G. Roach","doi":"10.1201/9781420035971.ch20","DOIUrl":"https://doi.org/10.1201/9781420035971.ch20","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130749908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Applied Analysis in Ship Hydrodynamics","authors":"A. J. Hermans, L. M. Sierevogel","doi":"10.1201/9781420035971.CH12","DOIUrl":"https://doi.org/10.1201/9781420035971.CH12","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123872812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Higher-Order Slender Body Theory","authors":"A. Galper, T. Miloh, M. Spector","doi":"10.1201/9781420035971.CH10","DOIUrl":"https://doi.org/10.1201/9781420035971.CH10","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"48 19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132201343","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Theoretical Notes on Scattering from One-Dimensional Penetrable Rough Surfaces","authors":"J. Desanto","doi":"10.1201/9781420035971.CH9","DOIUrl":"https://doi.org/10.1201/9781420035971.CH9","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133056708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimization of Radiating Fields and the Example of Null-Placement","authors":"T. Angell, A. Kirschy","doi":"10.1201/9781420035971.ch1","DOIUrl":"https://doi.org/10.1201/9781420035971.ch1","url":null,"abstract":"","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2000-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115877257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Scattering in a 2-D Optical Waveguide","authors":"R. Magnanini, F. Santosa","doi":"10.1201/9780429186875-16","DOIUrl":"https://doi.org/10.1201/9780429186875-16","url":null,"abstract":"We consider the problem of scattering in a planar optical waveguide. An incident wave, in the form of a guided mode, is sent along the waveguide. It encounters an inhomogeneity in the core region of the waveguide, and is scattered. We use the Green’s function for the planar waveguide to derive a Lippman-Schwinger equation. We show that the integral equation admits a unique solution. The scattering problem is solved under the Born approximation in several numerical examples. ∗Dipartimento di Matematica U. Dini, University of Firenze, viale Morgagni 67/A, 50134 Firenze, Italy †School of Mathematics, University of Minnesota, Vincent Hall, 206 Church St, Minneapolis, MN 55455, USA","PeriodicalId":263605,"journal":{"name":"Analytical and computational methods in scattering and applied mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1999-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126995539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}