Determining Aperture Field for Arbitrary Phaseless Far-Field Utilizing Inverse Design Method Based on Spectral Analysis

In this communication, we propose an inverse design method based on spectral analysis (IDMBSA) for achieving desired far-field radiation pattern through aperture field design. The aperture field obtained through IDMBSA can be utilized for array synthesis and sparse array design, and it can also serve as a design objective for existing aperture field implementation methods. IDMBSA combined with the coordinate transformation enables the fulfillment of design requirements for arbitrary phaseless radiation pattern and polarization needs. Non-linearity introduced by phaseless is addressed with a multi-objective optimization (MOO) algorithm. Compared to traditional array synthesis methods, IDMBSA significantly reduces the number of optimization variables by using modal expansion and further reduces the computational burden by utilizing analytical solutions. The inherent smoothness of the aperture field obtained through IDMBSA allows for direct application in existing aperture field implementation methods, facilitating the direct design of radiating devices with arbitrary far-field radiation pattern. Simulations were conducted to explore IDMBSA’s application in array synthesis, sparse arrays, and dual-polarization independent design, the results show the practicability of IDMBSA and its wide application prospect.