Pattern Program for Planar Array - Directivity Diagram of 16x16 Element Planar Array

The planar array pattern serves as a crucial performance characterization tool in antenna array analysis. The 16x16 element planar array, being a typical large-scale uniform array, warrants in-depth investigation of its pattern characteristics.

The program implementation approach generally involves the following key stages:

Array Modeling Phase The initial step requires establishing a geometric model of 256 array elements (16 rows × 16 columns), determining element spacing (typically half-wavelength) and array plane orientation. Each element is modeled as an ideal point source, with the entire array positioned in the x-y plane. In code implementation, this typically involves creating coordinate matrices using meshgrid functions and defining element positions through vector operations.

Pattern Calculation Core Applying the array multiplication principle, the program multiplies the element pattern of a single radiator with the array factor. For uniform planar arrays, the array factor can be efficiently computed using two-dimensional discrete Fourier transforms. The implementation must account for amplitude weighting and phase delays across all array elements. Algorithmically, this involves calculating complex excitation coefficients and performing 2D FFT operations on the element distribution matrix.

Beam Steering Implementation Beam pointing control in three-dimensional space is achieved by applying specific phase gradients to different elements. For large arrays like the 16x16 configuration, beamwidth is typically narrow, making sidelobe level control particularly critical. Code implementation involves calculating phase shifts using trigonometric functions based on desired steering angles and applying them through element-wise multiplication with the excitation matrix.

Result Visualization The final radiation pattern is typically displayed as 3D surface plots or 2D cross-sectional views, annotated with key parameters including main lobe width and sidelobe levels. To obtain complete directional characteristics, the program must compute patterns across multiple azimuth and elevation planes. Visualization routines often utilize surface plotting functions (like surf or mesh) and contour mapping with appropriate dB scaling for power patterns.

Such planar array pattern programs hold significant value in applications like phased array radar and 5G massive MIMO systems. The 256-element configuration effectively balances computational complexity with pattern performance, making it suitable for both educational demonstrations and practical engineering applications.