Ray tracing and scalar diffraction calculations of wavefronts, caustics and complex amplitudes in optical systems

The procedures for precise calculation of wavefronts, caustics and complex amplitudes in optical systems are developed. Numerical methods are compared with analytical formulae for caustics. The conditions for the validity of the integration on wavefronts for obtaining the complex amplitudes (and hen...

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Bibliographic Details
Author: Bosch i Puig, Salvador
Format: article
Status:Versión aceptada para publicación
Publication Date:2011
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/98141
Online Access:https://hdl.handle.net/2445/98141
Access Level:Open access
Keyword:Òptica geomètrica
Sistemes d'imatges
Processament digital d'imatges
Càustica (Òptica)
Geometrical optics
Imaging systems
Digital image processing
Caustics (Optics)
Description
Summary:The procedures for precise calculation of wavefronts, caustics and complex amplitudes in optical systems are developed. Numerical methods are compared with analytical formulae for caustics. The conditions for the validity of the integration on wavefronts for obtaining the complex amplitudes (and hence intensities defining the PSFs) within scalar diffraction theory are discussed in detail. To illustrate the precision of the results obtained with the developed techniques, an experiment showing quite unexpected results is studied and explained in detail.