On reconstruction of objects from measurements of the diffracted field(*)

DOI10.1080/01630568708816236zbMath0632.65124OpenAlexW2094149755MaRDI QIDQ3769919

Gloria Papi

Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816236

zbMATH Keywords

inverse problemHelmholtz equationSommerfeld radiation conditionperiodic latticesinverse scatteringstability estimatesdiffraction patternsnonharmonic Fourier expansionreconstruction of objects from measurementssinc-expansion

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05)

Cites Work

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• Five short stories about the cardinal series
• The processing of periodically sampled multidimensional signals
• An inverse problem for the Helmholtz equation

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