Focusing properties of diffractive lenses constructed with the aperiodic m-bonacci sequence

Walter D. Furlan; Vicente Ferrando; Juan A. Monsoriu

doi:10.1117/12.2070434

6 January 2015 Focusing properties of diffractive lenses constructed with the aperiodic m-bonacci sequence

Walter D. Furlan, Vicente Ferrando, Juan A. Monsoriu

Proceedings Volume 9450, Photonics, Devices, and Systems VI; 945014 (2015) https://doi.org/10.1117/12.2070434
Event: Photonics Prague 2014, 2014, Prague, Czech Republic

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.

Citation Download Citation

Walter D. Furlan, Vicente Ferrando, and Juan A. Monsoriu "Focusing properties of diffractive lenses constructed with the aperiodic m-bonacci sequence", Proc. SPIE 9450, Photonics, Devices, and Systems VI, 945014 (6 January 2015); https://doi.org/10.1117/12.2070434

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available