Fig. 1. The dependence of Fourier spectrum of CPeGV beams on cosh modulation parameter Ω and topological charge m; (a) the topological charge m= 1; (b) the cosh modulation parameter Ω=5.

Fig. 2. The intensity (backgrounds) and the transverse Poynting vector (arrows) of the CPeGV beams propagating in uniaxial crystal for different propagation distances z with different cosh modulation parameters Ω and n_e=1.2n_o; (a): Ω=1; (b): Ω=2 and m=1.

Fig. 3. The longitudinal and transverse Poynting vectors of the CPeGV beams for different cosh modulation parameters Ω and topological charges m at z=300z_e. (a): m=0; (b): m=2.

Fig. 4. The longitudinal AMD of the CPeGV beams propagating in uniaxial crystal for different propagation distancesz with different cosh modulation parameters Ω and n_e=1.2n_o, m=1. (a): Ω=1; (b): Ω=2

Fig. 5. Maximum of angular momentum density of CPeGV beams in uniaxial crystal for different propagation distances z with different cosh modulation parameters Ω

Fig. 6. The normalized AMD of the CPeGV beams in uniaxial crystal at z=300z_e for different cosh modulation parameters Ω with different topological charges and n_e=1.2n_o; (a): m=0; (b): m=2