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An error bound for the Born approximation

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Publication:4812553
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DOI10.1088/0266-5611/20/2/009zbMath1073.35213OpenAlexW1964406926MaRDI QIDQ4812553

Frank Natterer

Publication date: 23 August 2004

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/43aa3f7b2ef121e86d7808a0ecbf493e6f7b5ba5


zbMATH Keywords

Helmholtz equationSommerfeld radiation conditionGreen functionscattering problemBorn approximation


Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)


Related Items (7)

Inverse design of anti-reflection coatings using the nonlinear approximate inverse ⋮ The use of the linear sampling method for obtaining super-resolution effects in Born approximation ⋮ Reflectors in wave equation imaging ⋮ Boundary integral formulations for the forward problem in magnetic induction tomography ⋮ Born expansion and Fréchet derivatives in nonlinear diffuse optical tomography ⋮ Mathematics of Electron Tomography ⋮ Sonic Imaging







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