Transcranial focused ultrasound phase corrections using the hybrid k-space method
Transcranial focused ultrasound is a non-invasive treatment method that provides a new approach for the treatment of functional brain diseases.Common applications include opening the blood-brain barrier,ablation of brain tumors,and neuroregulation.Due to the heterogeneity of the skull,ultrasound undergoes distortion during propagation,requiring certain phase correction to achieve ultrasound focusing.By combining time reversal with k-space pseudospectra,phase correction can be achieved for non-uniformity skull structures.However,in the process of phase controlled focusing,there is a contradiction between improving the accuracy of phase correction and reducing computational time.This article proposes a hybrid k-space method that combines pseudo spectral method and angular spectral method to optimize phase correction in a short period of time.The k-space simulates non-uniform skull parts,while the angular spectral method simulates uniform brain tissue parts.The sound field after passing through the rabbit skull is simulated and tested.The results show that the mixed k-space and k-space phase correction methods result in smaller sound pressure and position differences at the focal point,which are 3%and 6%,respectively.The phase calculation time of the mixed k-space phase correction method can be reduced to 14.98 minutes compared with that of k-space phase correction method(91.73 minutes)under the same model grid size of 310×310×300,which indicates that the mixed k-space phase correction method has good application prospects in clinical brain ultrasound treatment.