Near-field subsurface electromagnetic tomography and holography
Methods of multifrequency tomography and holography of subsurface dielectric inhomogeneities in the near-field zone based on the solution of inverse scattering problem are studied from the viewpoint of their applicability for targets with strong dielectric contrasts or with a complicated internal structure. Results based on numerical simulation with input data calculated from Maxwell equations are presented.
Polarimetric Signature CNN based Complex Permittivity Estimation for Microwave Non-destructive Testing
Here, we present complex relative permittivity estimation algorithm using fully polarimetric data based convolutional neural network (CNN) approach for microwave nondestructive testing scenario. The three-dimensional FDTD simulation show that our method accurately retains both dielectric constant and conductivity of floor slab buried in concrete media.
The Globalization problem for inner automorphisms and Skolem-Noether theorems
We investigate the circumstances under which an inner automorphism of a ring with local units can be built from “local” information. Specifically, we consider three natural “inner” type properties for an automorphism of a ring with local units. We show that every inner automorphism is locally inner but the converse is false, even if the automorphism is “piecewise” inner. On the other hand, we construct a large class of rings for which every locally inner automorphism is actually inner. Finally we obtain some Skolem-Noether type Theorems for infinite matrix and triangular matrix rings.