Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
نویسندگان
چکیده
We consider the electromagnetic scattering from a convex polyhedral PEC or PMC obstacle due to a time-harmonic incident plane wave. It is shown that the modulus of the far-field pattern in the backscattering aperture possesses a certain local maximum behavior. Using the local maximum indicating phenomena, one can determine the exterior unit normal directions, as well as the face areas, of the front faces of the obstacle. Then we propose a recovery scheme of reconstructing the obstacle by phaseless backscattering measurements. This work significantly extends our recent study in [12] from two dimensions and acoustic scattering to the much more challenging three dimensions and electromagnetic scattering.
منابع مشابه
Identification of Sound-soft 3d Obstacles from Phaseless Data
The inverse problem for time-harmonic acoustic wave scattering to recover a sound-soft obstacle from a given incident field and the far field pattern of the scattered field is considered. We split this problem into two subproblems; first to reconstruct the shape from the modulus of the data and this is followed by employing the full far field pattern in a few measurement points to find the loca...
متن کاملPhaseless Reconstruction from Space-Time Samples
Phaseless reconstruction from space-time samples is a nonlinear problem of recovering a function $x$ in a Hilbert space $\mathcal{H}$ from the modulus of linear measurements $\{\lvert \langle x, \phi_i\rangle \rvert$, $ \ldots$, $\lvert \langle A^{L_i}x, \phi_i \rangle \rvert : i \in\mathscr I\}$, where $\{\phi_i; i \in\mathscr I\}\subset \mathcal{H}$ is a set of functionals on $\mathcal{H}$, a...
متن کاملA Direct Imaging Method for Electromagnetic Scattering Data without Phase Information
In this paper we propose a direct imaging method based on reverse time migration for reconstructing extended obstacles by phaseless electromagnetic scattering data. We prove that the imaging resolution of the method is essentially the same as the imaging results using the scattering data with the full phase information. This implies the imaginary part of the cross-correlation imaging functional...
متن کاملCompressed Sensing from Phaseless Gaussian Measurements via Linear Programming in the Natural Parameter Space
We consider faithfully combining phase retrieval with classical compressed sensing. Inspired by the recent novel formulation for phase retrieval called PhaseMax, we present and analyze SparsePhaseMax, a linear program for phaseless compressed sensing in the natural parameter space. We establish that when provided with an initialization that correlates with an arbitrary k-sparse n-vector, Sparse...
متن کاملPhased and phaseless domain reconstruction in inverse scattering problem via scattering coefficients
In this work we shall review the (phased) inverse scattering problem and then pursue the phaseless reconstruction from far-field data with the help of the concept of scattering coefficients. We perform sensitivity, resolution and stability analysis of both phased and phaseless problems and compare the degree of ill-posedness of the phased and phaseless reconstructions. The phaseless reconstruct...
متن کامل