Influence of in-plane field on the stability of vertical Bloch lines in the walls of OHB at various bias fields

The stability of vertical Bloch line (VBL) chains subjected to in-plane field (Hip) was statistically studied for the ordinary hard bubbles (OHB) in garnet bubble films at various bias fields (Hb). The dumbbell domains were also investigated. We found that (Hip(1))IID<(Hip(1))ID<(Hip(1))OHB and (Hip(2))IID=(Hip(2))ID=(Hip(2))OHB when keeping Hb unchanged. With the increasing of Hb, the in-plane field Hip(1), Hip* and Hip(2) all decrease, while the in-plane field range [Hip(1), Hip*] and [Hip(1), Hip(2)] become narrower. Here, Hip(1) is the initial critical in-plane field where VBLs in the walls of three types of hard domains are annihilated, Hip* stands for the in-plane field where the retention rate of three types of hard domains R reduces to zero, and Hip(2) is the lowest in-plane field where VBLs in their corresponding hard domains are annihilated completely.