Year: 2026
Type: article
Abstract: In this work, we present a new family of aperiodic diffractive lenses based on the Lucas sequence, implemented in both binaryphaseand kinoform configurations. These lenses generate four focal planes along the optical axis with a partially balancedenergy distribution, offering enhanced control over axial light distribution. A comparative analysis reveals that the kinoformdesign achieves higher energy efficiency, while the axial positions between focal planes are directly related to the golden ratio,reflecting the intrinsic properties of the Lucas sequence and its close relationship with the Fibonacci sequence. The proposedlenses show strong potential for applications in optical trapping, where multiple particles can be confined simultaneously, and inmultifocal imaging systems, where parallel acquisition can reduce scanning time and maintain uniform resolution across planes,as well as in quadrifocal intraocular lenses. This study demonstrates the versatility of Lucas-sequence-based diffractive lensesfor advanced optical and laser-based technologies.
Source: Scientific Reports
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,690
OpenAlex ID: W7211865905
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