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Theoretical Calculations and Numerical Modeling of High Intensity Ultrasonic Fields for Optimization of High Intensity Focused Ultrasound Transducers

Affiliations

  • Scientific Research Institute of Physics of the Southern Federal University, Rostov-on-Don, Russia
  • Moscow State University, Moscow, Russia

Abstract


Objectives: This work focuses on development of the mathematical models and theoretical research of the ultrasound ablation system in respect of the calculation of High Intensity Focused Ultrasonic Fields and modeling of biological tissue heating. Methods: Theoretical calculations of acoustic fields in linear approximation were made using Rayleigh integral. For description of nonlinear High Intensity Ultrasonic Fields, finite-difference modeling of Westervelt and Khokhlov–Zabolotskaya–Kuznetsov (KZK) equations were used. Findings: Theoretical and numerical models of High Intensity Focused Ultrasound (HIFU) Transducers were developed. The results of theoretical modeling of HIFU Transducers were presented. The characteristics of High Intensity Ultrasonic Fields, including the acoustic pressure, intensity and heat sources at different excitation modes of Ultrasound Transducers were calculated. Numerical solutions of the Khokhlov–Zabolotskaya–Kuznetsov (KZK) parabolic equation were obtained for nonlinear Focused Ultrasonic Fields. The obtained results were discussed. Applications/Improvements: The obtained results can be used in the development of HIFU Transducers for Medical Ultrasound Ablation Complexes, for the treatment of socially significant diseases.

Keywords

Acoustic Pressure, HIFU, Numerical Modeling, Nonlinear Fields, Transducers, Ultrasound.

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