2 papers
math.AP2026
Multi parameter identification in the nonlinear periodic Westervelt equation
Benjamin Rainer, Barbara Kaltenbacher
Nonlinear ultrasound imaging leverages harmonic wave generation to enhance contrast and spatial resolution beyond the capabilities of conventional linear techniques. This behavior…
math.NA2025
On the optimal choice of the illumination function in photoacoustic tomography
Phuoc-Truong Huynh, Barbara Kaltenbacher
This work studies the inverse problem of photoacoustic tomography (more precisely, the acoustic subproblem) as the identification of a space-dependent source parameter. The model c…