Abstract: To solve the problem that in two-dimensional imaging the target under water is easily hidden by the strong coherent interference, and high side lobe of arc array beam pattern causes more false alarm, an optimized two-dimensional imaging method based on second-order cone programming is proposed. Not only the strong coherent interference is suppressed, but also the side lobe is controlled well with the method. The issue that the sliding window in time domain leads to the difference between the steering vector and array manifold is analyzed, which causes the mismatch between the weights computed by the second-order cone programming and steering vector, and the failure to satisfy the side lobe control and null design requirement. To solve the issue, the method using the theoretical steering vector calculated by the sliding window in time domain instead of the array manifold to design the second-order cone programming weights is proposed, and the optimizations of the beam pattern and the arc array two-dimensional imaging are combined by the improved second-order cone programming weights .The validity of the proposed method is demonstrated by computer simulation and the pool experiment.