Abstract： A confocally and coaxially arranged pair of focused transmitter and receiver represents one of the best geometries for medical ultrasonic imaging and non-invasive detection. We develop a simple theoretical model for describing the nonlinear propagation of a confocal ultrasonic beam in biological tissues. On the basis of the parabolic approximation and quasi-linear approximation, the nonlinear Khokhlov--Zabolotskaya--Kuznetsov (KZK) equation is solved by using the angular spectrum approach. Gaussian superposition technique is applied to simplify the solution, and an analytical solution for the second harmonics in the confocal ultrasonic beam is presented. Measurements are performed to examine the validity of the theoretical model. This model provides a preliminary model for acoustic nonlinear microscopy.
ZHANG Dong;ZHOU Lin;SI Li-Sheng;GONG Xiu-Fen. A Simple Model for Nonlinear Confocal Ultrasonic Beams[J]. 中国物理快报, 2007, 24(1): 131-134.
ZHANG Dong, ZHOU Lin, SI Li-Sheng, GONG Xiu-Fen. A Simple Model for Nonlinear Confocal Ultrasonic Beams. Chin. Phys. Lett., 2007, 24(1): 131-134.
2007, Vol. 24 
