Near field synthesis of reflectarrays using intersection approach

In this work, the Intersection Approach algorithm is adapted to perform near field synthesis of reflectarray antennas. First, a brief description of how the near field radiated by the reflectarray is presented. Then, the algorithm is detailed, in particular, the definition of the forward and backward projectors. Unlike as the far field version of the Intersection Approach, for near field synthesis the backward projection cannot be implemented by a Fast Fourier Transform, and another strategy is employed, namely, the use of a general minimization algorithm, the Levenberg-Marquardt algorithm in this case. Finally, the algorithm is validated with a near field optimization consisting on generating a planar field amplitude in a volume for applications such as RFID tag identification or pico and femto cell coverage for cellular systems.