Depth resolution in strip current reconstructions in near non-reactive zone

Area of Science:

• Electromagnetics and Applied Physics
• Inverse Problems and Imaging

Background:

• Reconstructing electric current sources from radiated fields is a fundamental challenge in electromagnetics.
• Previous work addressed this using Fresnel zone approximations, limiting geometrical scope.

Purpose of the Study:

• To develop a method for reconstructing strip electric currents from radiated fields without Fresnel approximation limitations.
• To estimate the achievable performance in terms of the number of degrees of freedom (NDF) and depth resolution.

Main Methods:

• Rewriting the radiation operator as a Fourier-type integral operator via variable transformation.
• Utilizing Fourier-based reasoning to estimate the point-spread function.
• Comparing analytical estimations with singular value decomposition (SVD) numerical results.

Main Results:

• The study provides a novel approach to current reconstruction by removing geometrical constraints.
• Accurate estimations of NDF and depth resolution were achieved.
• The new findings generalize previous results obtained under Fresnel approximation.

Conclusions:

• The developed method offers improved accuracy and broader applicability for electric current reconstruction.
• The findings validate the effectiveness of the Fourier-based integral operator approach.
• This work advances the understanding of resolution limits in inverse scattering problems.