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Proceedings Paper

Focusing properties of diffractive lenses constructed with the aperiodic m-bonacci sequence
Author(s): Walter D. Furlan; Vicente Ferrando; Juan A. Monsoriu
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Paper Abstract

In this contribution we present a new family of diffractive lenses which are designed using the m-bonacci sequence. These lenses are a generalization of the Fibonacci Zone Plates previously reported. Diffractive elements of this type are called aperiodic zone plates because they are characterized by a radial profile that follows a given deterministic aperiodic sequence (Cantor set, Thue-Morse, Fibonacci...). Aperiodic lenses have demonstrated new interesting focusing and imaging properties that have found applications in different fields such as soft X-ray microscopy and spectral domain optical coherence tomography. Here, we show that m-bonacci zone plates are inherently bifocal lenses. We demonstrate that the relative separation of their foci depends on the m-value of the sequence and also can be correlated with the generalized golden ratio. As a particular case, the properties of the m-bonacci sequence with m=2 and m=3, called Fibonacci and Tribonacci Zone Plates respectively are discussed.

Paper Details

Date Published: 6 January 2015
PDF: 6 pages
Proc. SPIE 9450, Photonics, Devices, and Systems VI, 945014 (6 January 2015); doi: 10.1117/12.2070434
Show Author Affiliations
Walter D. Furlan, Univ. de València (Spain)
Vicente Ferrando, Univ. de València (Spain)
Univ. Politécnica de Valencia (Spain)
Juan A. Monsoriu, Univ. Politécnica de Valencia (Spain)

Published in SPIE Proceedings Vol. 9450:
Photonics, Devices, and Systems VI
Pavel Tománek; Dagmar Senderáková; Petr Páta, Editor(s)

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