RT Journal Article
T1 Optimization Methods for In-Line Holography
A1 Carpio Rodríguez, Ana María
A1 Dimiduk, T. G.
A1 Vidal Lloret, Perfecto
A1 Selgas, V.
AB We present a procedure to reconstruct objects from holograms recorded in in-line holography settings. Working with one beam of polarized light, the topological derivatives and energies of functionals quantifying hologram deviations yield predictions of the number, location, shape and size of objects with nanometer resolution. When the permittivity of the objects is unknown, we approximate it by parameter optimization techniques. Iterative procedures combining topological field based geometry corrections and parameter optimization sharpen the initial predictions.Additionally, we devise a strategy which exploits the measured holograms to produce numerical approximations of the full electric field (amplitude and phase) at the screen where the hologram is recorded. Shape and parameter optimization of functionals employing such approximations of the electric field also yield images of the holographied objects.
PB Society for Industrial and Applied Mathematics
SN 1936-4954
YR 2018
FD 2018
LK https://hdl.handle.net/20.500.14352/13415
UL https://hdl.handle.net/20.500.14352/13415
LA eng
NO Carpio Rodríguez, A. M., Dimiduk, T. G., Vidal Lloret, P. y Selgas, V.  «Optimization Methods for In-Line Holography». SIAM Journal on Imaging Sciences, vol. 11, n.o 2, enero de 2018, pp. 923-56. DOI.org (Crossref), https://doi.org/10.1137/17M1142740.
NO Ministerio de Economía, Comercio y Empresa (España)
DS Docta Complutense
RD 1 sept 2024