Oj. Trabocchi et al., DIFFRACTION PROPERTIES OF A PERIODIC MULTIPLE-APERTURE SYSTEM - AN APPROACH BASED ON THE WALSH-FUNCTIONS, Optical engineering, 35(1), 1996, pp. 94-101
The analysis of light propagation in optical systems composed of perio
dic arrays of identical apertures is performed using the diffraction p
roperties of the Walsh functions. By taking into account three main fe
atures of these functions, namely, completeness, binary nature, and se
lf-imaging properties, the successive interactions between each apertu
re and the diffracted field can be adequately explained through the Wa
lsh-Hadamard spectrum associated with the transmitted amplitude distri
bution.