Aiming at the issues of the uneven airgap magnetic field and the high wave distortion under the condition of a large angular displacement output of the motordriven angular vibrator, a novel large displacement angular vibrator with the magnetic circuit of the radial magnetic flux is proposed. The dynamic and static characteristics in the airgap magnetic field are analyzed and optimized. Based on the equivalent magnetization intensity method (EMIM), an analytical expression of the airgap magnetic flux density (MFD) is established in the polar coordinate system, and the effectiveness of the method is verified by the finite element method (FEM). The effects of the thickness of permanent magnet (PM), the sector angle of PM and the thickness of the airgap on the static airgap magnetic field are also analyzed. The dynamic characteristics of the airgap magnetic field are simulated by the transient finite element method at different frequencies such as 0.01, 0.1 and 1 Hz when the outer magnet ring is fixed but the PM and inner magnet core are rotated. The influence of the relative movement between the magnetic circuits on airgap MFD is quantitatively investigated. Finally, the optimized parameters of the magnetic circuit are applied to the large displacement angular vibrator, and the test results show that the actual average MFD and its distribution are consistent with the theoretical results. The method has great significances to the theoretical analysis and optimization design of the radial magnetic flux magnetic circuit of angular vibrators.