The fast intensification and associated structural changes in stage I are critical to the formation of SBC and subsequently secondary eyewall in Lekima. As the TC intensifies rapidly, the wide and loose eyewall-related rings of vorticity and convection turn to be compact and tight at the end of stage I. Both the deep convection and large vorticity concentrate in narrow annulus. The tight vorticity ring on the one hand favors the development of strong asymmetric perturbations in the inner core via the shear instability processes, and on the one hand, facilitates the radial propagation of vortex Rossby wave (VRW) via producing a beta-skirt with distinct radial vorticity gradient. The quasi-periodic outward propagation of VRW from the eyewall helps the maintenance of intermediate rainbands primarily locating in the downshear-right quadrant in stage II. Meanwhile, a distant rainband originated from the shear-left quadrant reinvigorates after it propagates to the downshear-right quadrant, where huge convective available potential energy has been accumulated in stage I. Due to the convection in the intermediate rainbands, there are evident upper-level inertial instability appearing on the inward side of the distant rainband. Under the effect of upper-level inertial instability and the low-level airflow with low equivalent potential temperature on the outward side, the distant rainband moves inwards and finally merges with the intermediate rainbands, leading to the formation of SBC and finally the secondary eyewall in Lekima.

