A Collaborative Control Method of Transmission Amplitude and Phase for Transmitarray Antenna Design

Algorithm 1

Evaluate objective function values of each TA design.

Input: a TA design (i.e., a vector of structure parameters (), is the product of the scale of TA and the number of structural parameters of unit cell)

Output: its objective function values

Step 1: predict

For each unit cell of this TA design, predict its transmission magnitude and phase by using GP-based surrogate models according to Section 2.1. Then, obtain transmission magnitude and phase distribution of this TA design ().

Step 2: calculate

Given a focal source and its distance to TA aperture , calculate the amplitude and phase of the incoming wave from the focal source according to Eqs. (8) and (9).

Step 3: calculate

Calculate the amplitude and phase generated through TA design according to Eqs. (7) and (10).

Step 4: evaluate objective function values

Firstly, the final transmission magnitude and phase distribution is used to calculate the overall radiation patterns of this TA antenna according to radiation pattern multiplication principle [29]. Secondly, the objective functions in [30–33] are suggested to extract the optimized radiation characteristics, such as main beam direction, antenna gain, half-power beam width, and SLL.