Person:
Vidal Lloret, Perfecto

Profile Picture
First Name
Perfecto
Last Name
Vidal Lloret
URI
https://hdl.handle.net/20.500.14352/86907
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Matemáticas
Department
Análisis Matemático Matemática Aplicada
Area
Análisis Matemático
Identifiers
UCM identifierScopus Author IDDialnet ID

Filters

20181
Reset filters

Settings

Subject: 517.9 ×

Search Results

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Optimization Methods for In-Line Holography
    (SIAM Journal on Imaging Sciences, 2018) Carpio Rodríguez, Ana María; Dimiduk, T. G.; Vidal Lloret, Perfecto; Selgas, V.
    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.