 My name is Atsushi Natsubayashi. I like to talk about the method for controlling ultrasound field for haptic presentation. Outer sound haptics is a technology that uses multiple ultrasound transducers to create a high sound pressure region in the air to provide haptic sensation. The gain of the transducers in the sound pressure at the control points can be expressed by a simple matrix equation. This equation is for free sound field. If you consider the scattering sound field, which means considering reflection on the hand surface, you can generate a more accurate pressure distribution. In this case, the control points are set on the hand surface. To consider scattering matrix B is added to this equation, but replacing the matrix B to the same equation as for the free field. In order to control the sound pressure distribution on the hand surface, this optimization problem can be solved. In this study, we have proposed an algorithm to solve this problem with high accuracy. This method is particularly effective when, for example, presenting haptic feedback inside the hand, where many control points need to be set to zero to prevent extra pressure generation. We only give a brief description of the method. In this method, we fix the amplitude of the transducers to the maximum value. This simplifies the optimization to an unconstrained risk risk program. We studied this program efficiently with the Leidenberg-Marquardt method, which is iterative solver for risk risk problem. We performed the numerical simulations for the case where the sound pressure inside the hand was controlled. And we compare the accuracy and calculation time of our method with other optimization algorithms. The simulation results show that our method achieves both accuracy and speed. The fact is that our method is effective in this situation, but it should be noted that other methods may be more effective for some other applications. For more detailed comparison between them, please refer to the paper. Thank you.