Open AccessAngular spectrum calculations for arbitrary focal length with a scaled convolution
Author(s) -
Satoru Odate,
Chiaki Koike,
Hidemitsu Toba,
Tetsuya Koike,
Ayako Sugaya,
Katsumi Sugisaki,
Katsura Otaki,
Kiyoshi Uchikawa
Publication year - 2011
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.19.014268
Subject(s) - optics , convolution (computer science) , nyquist–shannon sampling theorem , angular spectrum method , focal length , computation , physics , cardinal point , lens (geology) , nyquist frequency , spectrum (functional analysis) , mathematics , mathematical analysis , diffraction , computer science , algorithm , computer vision , filter (signal processing) , quantum mechanics , machine learning , artificial neural network
Nyquist sampling theorem in an image calculation with angular spectrum method restricts a propagation distance and a focal length of a lens. In order to avoid these restrictions, we studied suitable expressions for the image computations depending on their conditions. Additionally, a lateral scale in an observation plane can be magnified freely by using a scaled convolution in each expression.