Unitary Aberrations on Pixellated Screens

Authors

Kenan Uriostegui, Instituto de Ciencias F´ısicas, Universidad Nacional Aut´onoma, de M´exico, Av. Universidad s/n, Cuernavaca, Mor. 62210, MexicoFollow
Kurt Bernardo Wolf, Instituto de Ciencias F´ısicas, Universidad Nacional Aut´onoma, de M´exico, Av. Universidad s/n, Cuernavaca, Mor. 62210, MexicoFollow

Author Country (or Countries)

Mexico

Abstract

The finite oscillator based on the Lie group of spin U(2) provides a model for finite one-dimensional (1D) arrays of N = 2 j +1 pixels, for j integer or half-integer which, as j → ¥, deforms to the continuous 1D model of geometric optics. Translations, linear transformations and aberrations in the latter are canonical and have their N×N unitary counterparts in the former. Since in U(N) there are only N2 independent transformations, we identify the finite counterparts of translations, linear transformations and aberrations within the finite model, applicable to the correction of aberrated images or signals on N-pixel linear arrays.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120603

Recommended Citation

Uriostegui, Kenan and Bernardo Wolf, Kurt (2018) "Unitary Aberrations on Pixellated Screens," Applied Mathematics & Information Sciences: Vol. 12: Iss. 6, Article 3.
DOI: http://dx.doi.org/10.18576/amis/120603
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss6/3