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Approximate Lipschitz stability for phaseless inverse scattering with background information

Approximate Lipschitz stability for phaseless inverse scattering with background information

Abstract We prove approximate Lipschitz stability for monochromatic phaseless inverse scattering with background information in dimension <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>d</m:mi> <m:mo>≥</m:mo> <m:mn>2</m:mn> </m:mrow> </m:math> {d\geq 2} . Moreover, these stability estimates are given in terms of non-overdetermined and incomplete data. Related results for reconstruction from phaseless Fourier transforms are also …