Reconstruction formula for a 3-d phaseless inverse scattering problem for the Schrodinger equation

[1] T. Aktosun and P.E. Sacks, Inverse problem on the line without phase information, Inverse Problems, 14, 211-224, 1998. [OpenAIRE]

[2] N.F. Berk and C.F. Majkrzak, Statistical analysis of phase-inversion neutron specular reflectivity, Langmuir, 25, 4132-4144, 2009. [OpenAIRE]

[3] K. Chadan and P.C. Sabatier, Inverse Problems in Quantum Scattering Theory, Springer-Verlag, New York, 1977.

[4] D. Dobson, Phase reconstruction via nonlinear least squares, Inverse Problems, 8, 541-557, 1992.

[5] J.R. Fienup, Phase retrieval algorithms: a personal tour [invited], Applied Optics, 52, 45-56, 2013.

[6] D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer, New York, 1984.

[7] D. Gerth, B. Hofman, S. Birkholz, S. Koke and G. Steinmeyer, Regularization of an autoconvolution problem in ultrashort laser pulse characterization, Inverse Problems in Science and Engineering, 22, 245-266, 2014.

[8] V. Isakov, Inverse Problems for Partial Differential Equations, Second Edition, Springer, New York, 2006.

[9] O. Ivanyshyn, R. Kress and P. Serranho, Huygens' principle and iterative methods in inverse obstacle scattering, Advances in Computational Mathematics, 33, 413-429, 2010.

[10] O. Ivanyshyn and R. Kress, Inverse scattering for surface impedance from phase-less far field data, J. Computational Physics, 230, 3443-3452, 2011. [OpenAIRE]

[11] R.V. Khachaturov, Direct and inverse problems of determining the parameters of multilayer nanostructures from the angular spectrum of the intensity of reflected X-rays, Computational Mathematics and Mathematical Physics, 49, 1781-1788, 2009. [OpenAIRE]

[12] M.V. Klibanov, Phaseless inverse scattering problems in three dimensions, SIAM J. Appl. Math., 74, 392-410, 2014. [OpenAIRE]

[13] M.V. Klibanov, Uniqueness of two phaseless non-overdetermined inverse acoustics problems in 3-d, Applicable Analysis, 93, 1135-1149, 2014.

[14] M.V. Klibanov, On the recovery of a 2-D function from the modulus of its Fourier transform, J. Mathematical Analysis and Applications, 323, 818-843, 2006. [OpenAIRE]

[15] M.V. Klibanov and V.G. Kamburg, Uniqueness of a one dimensional phase retrieval problem, Inverse Problems, 30, 075004, 2014. [OpenAIRE]