The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements

Figures & data

Figure 1. The given function $k\left(x\right).$

Figure 2. The approximate solution of the inverse problem with noiseless data.

Figure 3. The approximate solution of the inverse problem with noisy data. The noise level is denoted by $\mathbf{n}\mathbf{l}.$

Figure 4. Solutions' real part obtained before the data processing at various noise levels (denoted by $\mathbf{n}\mathbf{l}$).

Figure 5. Real part of two solutions used for postprocessing: the data is noisy, $\mathbf{n}\mathbf{l}=5\mathrm{\%}.$ True inhomogeneities and artefacts are marked by * and +, respectively.

Figure 6. Solutions' real part obtained after pre- and postprocessing at various noise levels (denoted by $\mathbf{n}\mathbf{l}$).