Focusing performance of Fibonacci tiling-based zone plates

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.