A three-dimensional micromagnetic perpendicular recording model is developed to study the effect of magnetic properties and head geometry on the write head field. For parameters characteristic of 200 Gbit/in.2, the maximum write field is about 0.73 Bs. Thirty percent of this field is due to neck saturation. Calculated head field gradients at track center agree well with the theoretical Westmijze field. The maximum write field is independent of the SUL thickness for thicknesses greater than the track width. At an SUL thickness of half the track width, the field decreases by 10%, and thereafter decreases rapidly.