Generalized Fibonacci zone plates

TL;DR

This paper introduces a new family of zone plates based on generalized Fibonacci sequences, exhibiting dual-focus properties and adjustable focal distances, with potential applications in micro and nanophotonics.

Contribution

It presents a novel design of zone plates using generalized Fibonacci sequences, enabling dual-focus with adjustable axial positions, advancing optical device capabilities.

Findings

Zone plates have two equal-intensity foci.

Focal distances can be tuned via optical path differences.

Potential applications in micro and nanophotonics.

Abstract

We propose a family of zone plates which are produced by the generalized Fibonacci sequences and their axial focusing properties are analyzed in detail. Compared with traditional Fresnel zone plates, the generalized Fibonacci zone plates present two axial foci with equal intensity. Besides, we propose an approach to adjust the axial locations of the two foci by means of different optical path difference, and further give the deterministic ratio of the two focal distances which attributes to their own generalized Fibonacci sequences. The generalized Fibonacci zone plates may allow for new applications in micro and nanophotonics.