Polarization lattice from the superposition of two triangular optical lattices with opposite orientations

Abstract

We investigated the polarization properties of the superposition of two triangular optical lattices with opposite orientations, which were generated by utilizing Fast Fourier Transform (FFT) methods. The superposition of two triangular optical lattices with opposite orientations demonstrates a unique optical lattice characterized by six protruding nodes at its edge. Our analysis revealed that the resulting optical lattice exhibits inhomogeneous and lattice-like polarization distributions, marked by distinct patterns of polarization singularities, including L-lines and C-points. Indexing the phase difference distribution proved effective as a straightforward method in identifying regions of linear and circular polarization, corresponding to L-lines and C-points respectively. These findings were corroborated by calculating Stokes's parameters. This paper thus serves as a framework for mapping and analysis of singularities when the same conditions are performed in an experiment.