Use of sparsity in nonlinear electromagnetic imaging: wavelet-based contrast source method

Yarui Zhang (1) , Marc Lambert (1) , Aurelia Fraysse (2) , Dominique Lesselier (2)

1 GeePs - Laboratoire Génie électrique et électronique de Paris
2 L2S - Laboratoire des signaux et systèmes

A contrast source inversion (CSI) algorithm is developed in the wavelet domain in order to tackle nonlinear electro- magnetic inverse scattering with the benefit of sparsity. The soft-thresholding technique is applied here to sparsify the reconstruction. Numerical results show the potential of the proposed approach to improve the quality of reconstruction compared to the original CSI method.

Keywords: sparsity; contrats-source inversion; wavelets; soft-thresholding

Domains: Signal and Image processing; Electromagnetism; Mathematical Physics [math-ph]

Yarui Zhang, Marc Lambert, Aurelia Fraysse, Dominique Lesselier. Use of sparsity in nonlinear electromagnetic imaging: wavelet-based contrast source method. XXXIV General Assembly and Scientific Symposium (GASS) of the International Union of Radio Science, Aug 2021, Rome, Italy. ⟨10.23919/URSIGASS51995.2021.9560576⟩. ⟨hal-03225687⟩