Fractal Checkerboard Zone Plates
[EN] In this work, we introduce a novel diffractive optical element, the Fractal Checkerboard Zone Plate (FCZP). It is based on a two-dimensional binary matrix generated through iterative substitution rules that produce self-similar fractal geometries. Starting from a seed matrix, higher-order struc...
| Autores: | , , , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2026 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:riunet______::cb26b05d6437afa07e7c5a02cc7d77af |
| Acceso en línea: | https://riunet.upv.es/handle/10251/235920 |
| Access Level: | acceso abierto |
| Palabra clave: | Checkerboard pattern Fractal array Zone plate Diffractive lens Aperiodic structure |
| Sumario: | [EN] In this work, we introduce a novel diffractive optical element, the Fractal Checkerboard Zone Plate (FCZP). It is based on a two-dimensional binary matrix generated through iterative substitution rules that produce self-similar fractal geometries. Starting from a seed matrix, higher-order structures are constructed iteratively, defining the transmittance pattern of the lens with transparent and opaque rectangular regions. The axial irradiance distributions of FCZPs of various orders are analyzed and compared to those of equivalent periodic checkerboard zone plates (PCZPs). Although both exhibit a primary focal distance at the same position, FCZPs display intensity profiles with self-similar characteristics typical of diffractive fractal structures. Moreover, compared to other square fractal lenses, FCZPs offer higher relative diffraction efficiency. |
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