An Inverse recursive algorithm to retrieve the shape of the inaccessible dielectric objects

A regularized electromagnetic iterative inverse algorithm is formulated and im-plemented to reconstruct the shape of 2D dielectric objects using the far-fieldpattern of the scattered field data. To achieve this, an integral operator thatmaps the unknown boundary of the object onto the far-field pattern of thescattered field is defined and solved for the unknown boundary. The addressedinverse problem has an ill-posed nature and inherits nonlinearity. To over-come these, the proposed solution is linearized via Newton and regularized byTikhonov in the sense of least squares. Besides, the dominance of the shadowregion in the inverse-imaging process is exceeded by considering the superpo-sition of multi-incoming plane waves, leading to less computational cost and avery fast inversion process. Comprehensive numerical analyses are carried outto ascertain the algorithm’s feasibility, revealing that it is very efficient andpromising.