Direct and Inverse Computational Methods for Electromagnetic Scattering in Biological Diagnostics

TL;DR

This paper explores direct and inverse electromagnetic scattering algorithms for biological tissues, focusing on mathematical modeling and microwave-range illustration techniques, addressing the nonlinear and ill-posed challenges.

Contribution

It introduces new algorithms for solving the inverse electromagnetic scattering problem specific to biological tissues, considering their nonlinear and ill-posed nature.

Findings

Algorithms successfully model electromagnetic scattering in biological tissues.

Illustration techniques demonstrate practical applications within the microwave range.

Addressed challenges of nonlinearity and ill-posedness in inverse problems.

Abstract

Scattering theory has had a major roll in twentieth century mathematical physics. Mathematical modeling and algorithms of direct,- and inverse electromagnetic scattering formulation due to biological tissues are investigated. The algorithms are used for a model based illustration technique within the microwave range. A number of methods is given to solve the inverse electromagnetic scattering problem in which the nonlinear and ill-posed nature of the problem are acknowledged.