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.
Garmendía-Martínez et al. (Wed,) studied this question.