Signal-subspace method approach to the intensity-only electromagnetic inverse scattering problem

Area of Science:

• Electromagnetic theory
• Inverse problems
• Wave scattering

Background:

• Electromagnetic inverse scattering problems are challenging, especially with phase-free data.
• The polarization of electromagnetic fields complicates the relationship between matrix rank and scatterer number compared to scalar waves.
• Multiple scattering effects must be accounted for in accurate modeling.

Purpose of the Study:

• To investigate the signal-subspace method for electromagnetic inverse scattering using intensity-only data.
• To address the nonlinear nature of determining polarization tensors in the presence of multiple scattering.
• To develop an analytical approach that bypasses iterative forward problem evaluation.

Main Methods:

• Application of the signal-subspace method.
• Analysis of multistatic matrix properties considering electromagnetic polarization.
• Development of an analytical solution for nonlinear inverse scattering problems.

Main Results:

• Successfully solved the electromagnetic inverse scattering problem with intensity-only data.
• Accounted for polarization effects and multiple scattering between scatterers.
• Achieved a nonlinear solution without iterative forward simulations.

Conclusions:

• The signal-subspace method is effective for phase-free electromagnetic inverse scattering.
• The proposed analytical approach offers an efficient solution for determining polarization tensors.
• This method advances the understanding and solving of complex scattering phenomena.