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<p>In this work, we present the Fibonacci Tiling-Based Zone Plates (FTZPs) characterized by a Fibonacci binary array generated using complementary substitution rules applied in both horizontal and vertical directions. The resulting array forms a quasiperiodic structured pattern where each row and column corresponds to a Fibonacci sequence or its Boolean complement. This array defines a transmittance function in a normalized spatial domain, partitioned into rectangulars sub-regions. Unlike conventional Fibonacci zone plates, which feature concentric rings, the FTZP consists of transparent and opaque rectangles, offering unique optical properties advantageous for diffraction-based applications. The intensity distribution along the optical axis and the evolution of transverse diffraction patterns are investigated through both numerical simulation and experimental measurements.</p>

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Focusing performance of Fibonacci tiling-based zone plates

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月25日

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  • Adrián Garmendía-Martínez,
  • Francisco M. Muñoz Pérez,
  • Juan C. Castro Palacio,
  • Walter D. Furlan,
  • Vicente Ferrando,
  • Juan A. Monsoriu

摘要

In this work, we present the Fibonacci Tiling-Based Zone Plates (FTZPs) characterized by a Fibonacci binary array generated using complementary substitution rules applied in both horizontal and vertical directions. The resulting array forms a quasiperiodic structured pattern where each row and column corresponds to a Fibonacci sequence or its Boolean complement. This array defines a transmittance function in a normalized spatial domain, partitioned into rectangulars sub-regions. Unlike conventional Fibonacci zone plates, which feature concentric rings, the FTZP consists of transparent and opaque rectangles, offering unique optical properties advantageous for diffraction-based applications. The intensity distribution along the optical axis and the evolution of transverse diffraction patterns are investigated through both numerical simulation and experimental measurements.