Interdimensional radial discrete diffraction in Mathieu photonic lattices.

Area of Science:

• Optics and Photonics
• Condensed Matter Physics
• Wave Phenomena

Background:

• Discrete diffraction in photonic lattices is a key phenomenon in wave physics.
• Understanding and controlling diffraction dimensionality is crucial for optical device applications.
• Mathieu beams offer unique properties for generating complex lattice structures.

Purpose of the Study:

• To demonstrate and control the transitional dimensionality of discrete diffraction.
• To investigate the influence of Mathieu beam parameters on diffraction patterns.
• To explore the transition from one-dimensional (1D) to two-dimensional (2D) discrete diffraction.

Main Methods:

• Generation of radial-elliptical photonic lattices using Mathieu beams with varied orders, sizes, and ellipticities.
• Analysis of discrete diffraction distribution shapes (circular, elliptic, hyperbolic).
• Investigation of diffraction dimensionality changes by varying input probe beam position.

Main Results:

• Control over discrete diffraction dimensionality by tuning Mathieu beam parameters.
• Observed diffraction patterns include circular, elliptic, and hyperbolic shapes.
• Demonstrated a transition from 1D to 2D discrete diffraction.
• Pronounced diffraction occurs along the crystal anisotropy direction.

Conclusions:

• Transitional dimensionality of discrete diffraction is achievable in engineered photonic lattices.
• Mathieu beam properties provide a versatile tool for controlling light propagation dynamics.
• The findings offer insights into light localization and beam steering in complex optical systems.