**4. Analytical and simulation results**

To analytically compute the corrected (compensated) radiation pattern and validate with simulation results, the compensated array factor AF*c* in Eq. (5) was used for different radii of curvatures of the cylindrical surface in **Figure 2**. The compensated (corrected) weights were computed using projection method in Section 2 and convex optimization in Section 3. The analytical results using Eq. (5) and CST simulation results using **Figure 2** are discussed next.
