Figure 2

Numerical simulation of astigmatically transformed followed by SH process of LG\(_{3,0}\). (a) Intensity and phase profiles of the fundamental [(i), (ii)] and the SH signal [(iii), (iv)] for \(\alpha = 0\), \(10^\circ\), and \(15^\circ\). (b) overlay of SHG electric field amplitude and phase distribution for \(\alpha \in [0^\circ , 15^\circ ]\) to show mutation of the singularity into a mitosis-like process visible in the far-field on the plane (iv). The singularities are marked with white dotted circle.