Locating a complex inhomogeneous medium with an approximate factorization method
This work provides a theoretical and numerical extension of the factorization method to complex refractive indices, which is an incremental contribution for researchers in inverse scattering.
The authors develop an approximate factorization method to reconstruct the support of a complex inhomogeneous medium from far-field acoustic wave scattering data, demonstrating its practicability with numerical examples.
Consider the inverse problem of scattering of time-harmonic acoustic waves by an inhomogeneous medium with complex refractive index. We show that an approximate factorization method can be applied to reconstruct the support of the complex inhomogeneous medium from the far-field data. Numerical examples are also provided to illustrate the practicability of the inversion algorithm.