Transformation of astigmatic Hermite-Gaussian beams with complex argument by an optical symmetrizing system
By using the second order moments method and generalized Huygens Fresnel diffraction integral, the optical system used for symmetrizing Hermite Gaussian beams with real argument is applied to study the transformation of astigmatic Hermite Gaussian beams with complex argument. It is shown that the second order matrix of Hermite Gaussian beams with complex argument passing through this system can be symmetrized.However, the spot shape of the beams has not a rotational symmetry . Therefore, such type of symmetrization system for beams with real argument is not suitable for beams with complex argument.