Abstract
The analytical expression for the propagation of Lissajous singularities through anastigmatic lens is derived and used to study the dynamic evolution of Lissajoussingularities after passing through the astigmatic lens and the dependence of Lissajoussingularities on the control parameters where the effect of astigmatism of the lens isstressed. It is shown that motion, pair creation and annihilation, handedness reversal andchange in the degree of polarization of Lissajous singularities may take place. In particular,a single Lissajous singularity may appear and vanish due to the presence of the astigmaticlens.
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