The electromagnetic inverse problem in the time domain for a dissipative slab and a point source using invariant imbedding: reconstruction of the permittivity and conductivity

Abstract

He, S. and S. Ström, The electromagnetic inverse problem in the time domain for a dissipative slab and a point source using invariant imbedding: Reconstruction of the permittivity and conductivity, Journal of Computational and Applied Mathematics 42 (1992) 137-155. We consider the electromagnetic inverse problem for a point source above an inhomogeneous dissipative slab of permittivity ∈( z) and conductivity σ( z), where z is the depth. Two inversion algorithms based on the invariant imbedding equations derived in previous work are used to reconstruct both the permittivity and the conductivity. Both algorithms use two-sided reflection data and one of them also uses transmission data. Results are presented for clean and noisy data.