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RESEARCH PRODUCT
Polyadic devil's lenses.
Walter D. FurlanJuan A. MonsoriuOmel Mendoza-yeroArnau Calatayudsubject
PhysicsFresnel zonebusiness.industryKinoformFunction (mathematics)Atomic and Molecular Physics and OpticsElectronic Optical and Magnetic Materialslaw.inventionLens (optics)Optical axisCantor setFractalOpticslawLacunarityComputer Vision and Pattern RecognitionPhysics::Chemical Physicsbusinessdescription
Devil’s lenses (DLs) were recently proposed as a new kind of kinoform lens in which the phase structure is characterized by the “devil’s staircase” function. DLs are considered fractal lenses because they are constructed following the geometry of the triadic Cantor set and because they provide self-similar foci along the optical axis. Here, DLs are generalized allowing the inclusion of polyadic Cantor distributions in their design. The lacunarity of the selected polyadic fractal distribution is an additional design parameter. The results are coined polyadic DLs. Construction requirements and interrelations among the different parameters of these new fractal lenses are also presented. It is shown that the lacunarity parameter affects drastically the irradiance profile along the optical axis, appodizing higher-order foci, and these features are proved to improve the behavior of conventional DLs under polychromatic illumination. © 2009 Optical Society of America OCIS codes: 050.1940, 050.1965.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-12-04 | Journal of the Optical Society of America. A, Optics, image science, and vision |