6533b7d5fe1ef96bd1264625

RESEARCH PRODUCT

Axial behaviour of Cantor ring diffractals

Jose D. PatrignaniWalter D. FurlanJuan A. MonsoriuGenaro Saavedra

subject

PhysicsRing (mathematics)business.industryApertureAstrophysics::Instrumentation and Methods for AstrophysicsComputer Science::Human-Computer InteractionFractal dimensionAtomic and Molecular Physics and OpticsCantor setSpherical aberrationFractalOpticsLacunarityTransversal (combinatorics)business

description

Cantor ring diffractals describe rotationally symmetric pupils constructed from a one-dimensional polyadic Cantor set. The influence on the axial irradiance of several fractal descriptors of such pupils, including fractal dimension, number of gaps and lacunarity, are investigated. It is shown that, contrary to their transversal response, the axial behaviour of these pupils does not resemble the fractal structure of the aperture. The sensitivity of such pupils to the spherical aberration is also analysed.

https://doi.org/10.1088/1464-4258/5/5/392