Matches in SemOpenAlex for { <https://semopenalex.org/work/W2012083363> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2012083363 endingPage "672" @default.
- W2012083363 startingPage "659" @default.
- W2012083363 abstract "We consider the linearized scattering operator ${cal F}$ of acoustics which maps singularities in the sound speed in the subsurface of the earth to singularities in the measured pressure at the earth's surface. The source of the acoustic signal is concentrated at a point on the surface. Application ofthe adjoint scattering operator ${cal F}^*$ to the measured pressure is a standard technique of locating sound speed singularities. The resulting image is equivalent to application of ${cal F}^*{cal F}$ to the sound speed singularities. Provided caustics do not occur, ${cal F}^*{cal F}$ is a pseudodifferential operator, meaning sound speed singularities do not move when it is applied and one obtains a reliable image. However, if caustics are present, ${cal F}^*{cal F}$ is not well understood. Our main result is that for the case of a simple fold caustic (the most common kind), ${cal F}^*{cal F}$ is a singular Fourier integral operator, meaning that some sound speed singularities will be propagated to two places: the first location is the original location and the second location (which is an artifact) is given by the graph of a certain function. The strength of the two transported singularities is equal, so conventional techniques designed to construct a local asymptotic inverse for ${cal F}^*{cal F}$ (and hence for ${cal F}$) fail. Therefore, it is necessary to employ an alternative technique that utilizes data from multiple source locations, resulting in artifact smoothing and thus reinstating conventional techniques as tools for imaging." @default.
- W2012083363 created "2016-06-24" @default.
- W2012083363 creator A5029793762 @default.
- W2012083363 date "2000-01-01" @default.
- W2012083363 modified "2023-09-27" @default.
- W2012083363 title "Scattering in the Presence of Fold Caustics" @default.
- W2012083363 cites W1965632887 @default.
- W2012083363 cites W1971809438 @default.
- W2012083363 cites W1992080856 @default.
- W2012083363 cites W2016716371 @default.
- W2012083363 cites W2017615983 @default.
- W2012083363 cites W2026104159 @default.
- W2012083363 cites W2031642653 @default.
- W2012083363 cites W2051067641 @default.
- W2012083363 cites W2077657805 @default.
- W2012083363 cites W2313917804 @default.
- W2012083363 doi "https://doi.org/10.1137/s0036139999356107" @default.
- W2012083363 hasPublicationYear "2000" @default.
- W2012083363 type Work @default.
- W2012083363 sameAs 2012083363 @default.
- W2012083363 citedByCount "30" @default.
- W2012083363 countsByYear W20120833632012 @default.
- W2012083363 countsByYear W20120833632014 @default.
- W2012083363 countsByYear W20120833632015 @default.
- W2012083363 countsByYear W20120833632016 @default.
- W2012083363 countsByYear W20120833632017 @default.
- W2012083363 countsByYear W20120833632018 @default.
- W2012083363 countsByYear W20120833632021 @default.
- W2012083363 countsByYear W20120833632022 @default.
- W2012083363 crossrefType "journal-article" @default.
- W2012083363 hasAuthorship W2012083363A5029793762 @default.
- W2012083363 hasConcept C102519508 @default.
- W2012083363 hasConcept C104317684 @default.
- W2012083363 hasConcept C120665830 @default.
- W2012083363 hasConcept C121332964 @default.
- W2012083363 hasConcept C12843 @default.
- W2012083363 hasConcept C134306372 @default.
- W2012083363 hasConcept C158448853 @default.
- W2012083363 hasConcept C17020691 @default.
- W2012083363 hasConcept C185592680 @default.
- W2012083363 hasConcept C191486275 @default.
- W2012083363 hasConcept C200351514 @default.
- W2012083363 hasConcept C24890656 @default.
- W2012083363 hasConcept C2524010 @default.
- W2012083363 hasConcept C2779567845 @default.
- W2012083363 hasConcept C33923547 @default.
- W2012083363 hasConcept C55493867 @default.
- W2012083363 hasConcept C86339819 @default.
- W2012083363 hasConceptScore W2012083363C102519508 @default.
- W2012083363 hasConceptScore W2012083363C104317684 @default.
- W2012083363 hasConceptScore W2012083363C120665830 @default.
- W2012083363 hasConceptScore W2012083363C121332964 @default.
- W2012083363 hasConceptScore W2012083363C12843 @default.
- W2012083363 hasConceptScore W2012083363C134306372 @default.
- W2012083363 hasConceptScore W2012083363C158448853 @default.
- W2012083363 hasConceptScore W2012083363C17020691 @default.
- W2012083363 hasConceptScore W2012083363C185592680 @default.
- W2012083363 hasConceptScore W2012083363C191486275 @default.
- W2012083363 hasConceptScore W2012083363C200351514 @default.
- W2012083363 hasConceptScore W2012083363C24890656 @default.
- W2012083363 hasConceptScore W2012083363C2524010 @default.
- W2012083363 hasConceptScore W2012083363C2779567845 @default.
- W2012083363 hasConceptScore W2012083363C33923547 @default.
- W2012083363 hasConceptScore W2012083363C55493867 @default.
- W2012083363 hasConceptScore W2012083363C86339819 @default.
- W2012083363 hasIssue "2" @default.
- W2012083363 hasLocation W20120833631 @default.
- W2012083363 hasOpenAccess W2012083363 @default.
- W2012083363 hasPrimaryLocation W20120833631 @default.
- W2012083363 hasRelatedWork W1972236339 @default.
- W2012083363 hasRelatedWork W1983410558 @default.
- W2012083363 hasRelatedWork W2012083363 @default.
- W2012083363 hasRelatedWork W2133470173 @default.
- W2012083363 hasRelatedWork W279428966 @default.
- W2012083363 hasRelatedWork W2883517507 @default.
- W2012083363 hasRelatedWork W2997171467 @default.
- W2012083363 hasRelatedWork W3026358768 @default.
- W2012083363 hasRelatedWork W3042196055 @default.
- W2012083363 hasRelatedWork W4243575823 @default.
- W2012083363 hasVolume "61" @default.
- W2012083363 isParatext "false" @default.
- W2012083363 isRetracted "false" @default.
- W2012083363 magId "2012083363" @default.
- W2012083363 workType "article" @default.