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The optimal design of magnetic recording head with the coil is an important issue for the high magnetic recording density with small magnetic field leakage. This work proposes a topology design of the yoke and the coil in the perpendicular magnetic recording (PMR) head based on the density method. In order to determine the shape of the coil as well as the yoke in the head, the topology optimization method combined with the finite-element method (FEM) is used. The numerical result shows significant improvement, that is, the recording flux increasing in the magnetic recording region with the leakage reduction in the adjacent area. Results are verified through the commercial package simulation using Maxwell.