Simplified approach investigating non-linear transformations of ultrasound diagnostics signals

Progress of medical ultrasonic diagnostics systems and methods is strongly dependent on new research findings in non-linear interaction of waves and tissues. Advanced and complex solutions of non-linear ultrasound signals transformations in tissues are developed. Developments are based on derivation of second order differential equations, their calculations using finite elements or finite difference methods. These methods we found very complex to study and explaining separately diffraction, attenuation and non-linear interaction effects. The paper aims to discuss simplified method for analysis of non-linear transformations. Solution is based with few assumptions on ultrasound elementary waves superposition and aperture impulse spatial response calculation.