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This paper provides for the two\u2010dimensional case special sets of functions, which include all radiating and all nonradiating parts of the source. These sets are used to solve an acoustic inverse problem in two steps. The problem under discussion consists of determining an inhomogeneous obstacle supported in a part of a disc, from data, known for a subset of a two\u2010dimensional circle. In a first step, the radiating parts are computed by solving a linear problem. The second step is nonlinear and consists of determining the nonradiating parts.<\/jats:p>","DOI":"10.1155\/ijbi\/2006\/93074","type":"journal-article","created":{"date-parts":[[2007,3,5]],"date-time":"2007-03-05T12:55:22Z","timestamp":1173099322000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Complete Sets of Radiating and Nonradiating Parts of a Source and Their Fields with Applications in Inverse Scattering Limited\u2010Angle Problems"],"prefix":"10.1155","volume":"2006","author":[{"given":"E.","family":"Wallacher","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. K.","family":"Louis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2007,1,9]]},"reference":[{"unstructured":"MorseP. 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