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...

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Detalhes bibliográficos
Autores: Garmendía-Martínez, Adrián, Pérez-Hernández, Arlen Beatriz, Ferrando, Vicente|||0000-0002-7434-7109, Monsoriu Serra, Juan Antonio|||0000-0003-3350-7951, Muñoz-Pérez, Francisco Misael|||0000-0002-0313-5029, Furlan, Walter D.
Tipo de documento: artigo
Data de publicação:2026
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:dnet:riunet______::cb26b05d6437afa07e7c5a02cc7d77af
Acesso em linha:https://riunet.upv.es/handle/10251/235920
Access Level:Acceso aberto
Palavra-chave:Checkerboard pattern
Fractal array
Zone plate
Diffractive lens
Aperiodic structure
Descrição
Resumo:[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.