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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Detalles Bibliográficos
Autor: Bosch i Puig, Salvador
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2011
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/98141
Acceso en línea:https://hdl.handle.net/2445/98141
Access Level:acceso abierto
Palabra clave:Òptica geomètrica
Sistemes d'imatges
Processament digital d'imatges
Càustica (Òptica)
Geometrical optics
Imaging systems
Digital image processing
Caustics (Optics)
Descripción
Sumario: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.