Effect of acoustic nonlinearity on heating of biological tissue by high-intensity focused ultrasound

Effect of strong acoustic nonlinearity on the efficiency of heating of a biological tissue by high-intensity focused ultrasound in the modes of operation used in real clinical setups is studied. The spatial distributions of thermal sources and the corresponding temperature increments caused by ultrasonic absorption are analyzed. Numerical algorithms are developed for simulating the nonlinear focusing of ultrasound in the calculations of both the heat sources on the basis of the Khokhlov-Zabolotskaya-Kuznetsov-type equations and the temperature field in a tissue on the basis of an inhomogeneous thermal conduction equation with a relaxation term. It is demonstrated that in the mode of operation typical of acoustic surgery, the nonlinearity improves the locality of heating and leads to an increase in the power of thermal sources in the focus by approximately an order of magnitude. The diffusion phenomena in the tissue lead to a smoothing of the spatial temperature distributions, as compared to the distributions of thermal sources. In the case of one-second exposure in the nonlinear mode of focusing, the maximal temperature in the focus exceeds the values obtained in the approximation of linear wave propagation by a factor of three.