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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 12 > No. 6


Unitary Aberrations on Pixellated Screens

PP: 1091-1098
Kenan Uriostegui, Kurt Bernardo Wolf,
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 NN 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.

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