System‐by‐design method for efficient linear array miniaturisation through low‐complexity isotropic lenses

Abstract

The design of miniaturised linear arrays by using isotropic lenses with reduced complexity is addressed. The problem at hand is formulated as a global optimisation one, then solved by means of a computationally‐efficient customisation of the system‐by‐design (SbD) paradigm suitably integrated with the quasi‐conformal transformation optics method. To yield arbitrary transformation geometries with a limited set of degrees‐of‐freedom and to reduce the lens complexity, while guaranteeing the same radiation performance of a larger reference aperture, a spline‐based description of the lens shape is adopted. Representative numerical results are reported to assess the effectiveness as well as the computational efficiency of the proposed SbD‐based approach.

Keywords

• computationally‐efficient customisation
• quasiconformal transformation optics method
• arbitrary transformation geometries
• degrees‐of‐freedom
• lens complexity
• lens shape