Acoustical Imaging

Applications of acoustical imaging in medical imaging, seismic imaging and non-destructive testing of construction materials.

Review of Fourier and Radon transforms.

The 3D acoustic wave equation and its properties.

Derivation of the Kirchhoff and Rayleigh integral for acoustic waves.

Forward and inverse wave field extrapolation in homogeneous and inhomogeneous media and its use in acoustical imaging.

Resolution of the acoustic images and estimation of background propagation velocities.

Medical ultrasound: basic physical principles, principles of ultrasound applications in medicine and neuroscience, Doppler imaging, ultrasound contrast agents.

Ultrasound transducers and beamforming.

The non-linear wave equation and harmonic imaging.

Medical ultrasound imaging using contrast agents.

Inverse scattering theory and full waveform inversion.

Invited medical lectures on ultrasound imaging in cardiology and neurosurgery.