Interdimensional radial discrete diffraction in Mathieu photonic lattices - Control and manipulation of light in complex photonic systems (CompsLight)

Experimental and numerical data from the journal paper published in Optics Express Vol. 31, Issue 18, pp. 28946-28953 (2023) (https://doi.org/10.1364/OE.497795). Experimental data contains original results in .jpg format, presenting intensity distributions of probe beam after propagation in a 2cm long Mathieu photonic lattices optically induced in cerium doped strontium barium niobate (Ce:SBN61) crystal. Numerical data are intensity distributions (I) that correspond to experimental data as Matlab files (.m format) as well as contain information about numerical space in micrometers (x, y). Data for Figure 5 contains probe beam intensity distributions (I) and lattice intensity distributions (L). 

We demonstrate transitional dimensionality of discrete diffraction in radial-elliptical photonic lattices. Varying the order, characteristic structure size, and ellipticity of the Mathieu beams used for the photonic lattices generation, we control the shape of discrete diffraction distribution over the combination of the radial direction with the circular, elliptic, or hyperbolic. We also investigate the transition from one-dimensional to two-dimensional discrete diffraction by varying the input probe beam position. The most pronounced discrete diffraction is observed along the crystal anisotropy direction.