Generation of twisted stigmatic beam and transfer of orbital angular momentum during the beam transformation

The twisted stigmatic beam with orbital angular momentum generated by transforming the Hermite-Gaussian beam through a rotated cylindrical lens system was studied. By utilizing of method of mode decomposition, the theory of transformation was analyzed. The transfer of orbital angular momentum during beam transformation was analyzed using beam transforming matrix and Collins integral. It was found that the angular momentum transfer takes place at the first cylindrical lens and remains constant after that.