Composited holograms for the generation of cylindrical optical lattices and flower modes

We present composited holograms to realize the azimuthal interference of cylindrical optical lattices (COLs) and the flower modes (FMs) of Fourier transform-truncated Bessel beams (FT-TBB). Three types of binarization operations are evaluated for the composited holograms generated by two FT-TBB with independent topological charges l₁ and l₂ and the same radial index p=1. Both the numerical solutions and experimental results demonstrate that the four types of COLs and FMs, namely, the conventional COL, interleaved COL, flower-core FM, and polygon-core FM, can be produced by the Fourier transformation of the composited holograms with the same radial index p=1 and topological combinations ||l₁|-|l₂||<2, ||l₁|-|l₂||=2, ||l₁|-|l₂||=3, and ||l₁|-|l₂||=4, respectively. Moreover, a modified hologram with a scalar factor is introduced for further tailoring of these multi-ring azimuthal distribution profiles. The evolutions of the intensity profiles for various values of the scale factor are presented. Our results indicate that the modified hologram is capable of an in-depth exploration of the desired intensity profile of COLs and FMs, providing a flexible platform for a light potential probe and microscopy.