Operator-Informed Gaussian Processes for Complex Helmholtz Wavefields: From Synthetic Benchmarks to In Vivo Brain Elastography

Boyuan Deng, Kshitiz Upadhyay, Michael Shields

The Helmholtz equation governs time-harmonic wave propagation, and in dissipative media a complex modulus renders its squared wavenumber ${\kappa }^2$ complex. Inferring such fields from s…