Theoretical and Experimental Study of a Focusing Radiating Linear Array

The article is devoted to the optimization of the radiation characteristics of a linear focusing array, presenting a set of semitransparent inclined elements (mirrors), an excitation source and a final opaque mirror. The geometry of array meets the quasi-optical conditions, and the inclination of the mirrors is given in such a way that the array allows focusing the scattered field in the Frenzel zone and in the far zone. The formation of a directivity pattern (DP) close to the given one, or ensuring the maximum radiation in the given area of angular coordinates, is realized by the selection of reflection and transmission coefficients of the semitransparent array elements. To ensure these requirements, a variational formulation of the optimization problem is given. The maximization of the corresponding functionals is carried out numerically by the methods of successive approximations. Numerical experiments demonstrate a high accuracy of satisfying the requirements for radiation characteristics, this is confirmed by the experimental data as well.