Abstract
This paper presents a novel multi-frequency multiplicative regularized contrast source inversion (MRCSI) algorithm with phaseless data (PD-MRCSI) for solving a two-dimensional scalar inverse scattering problem. The MRCSI method resolves the inverse scattering problem by minimization of a cost functional which is a linear combination of mismatches in the data equation and the state equation. Through modifying the mismatch in the data equation, we construct a new cost functional which is suitable for the inverse scattering problem with phaseless data. Similar to the MRCSI algorithm, the new cost functional can be minimized by alternatively updating the unknown contrast source and contrast using the so-called Polak–Ribere conjugate gradient method. Numerical results show that the proposed algorithm works effectively and efficiently for solving the inverse scattering problem with phaseless data.
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