Effect of in-plane field on wall motion in one-dimensional domain wall

The effect of the inplane field on the domain wall motion was examined by numerical analysis for a simple one-dimensional 180°-Bloch wall. It is shown that in the oscillatory mode of wall motion, which appears when the external field exceeds the Walker critical field, the average of the wall velocity increases approximately proportionally to the square of the inplane field. Under the inplane field larger than a certain critical value, the oscillatory mode is suppressed and the steady mode with a constant wall velocity is realised. These facts are consistent with the experiments for garnet bubbles.