Functional-voxel method for geometric description of a radar detection zone

   The study presents an improved methodology for constructing precise geometric models of detection zones for ground-based radar stations. The primary focus is on integrating a functional-voxel approach. The analytical description of the radiation pattern is defined via piecewise functions with angles ε_min = 0.1°; ε₀ = 1.7°; ε_max = 4°. The transformation between polar and Cartesian coordinate systems is accounted for, and R-functions are applied to combine the analytical equations used. The modeling incorporates the Pattern Propagation Factor of the Earth using the following computational methods: decomposition of 5×5 matrices into 4×4 submatrices via Laplace’s method and construction of local approximating planes with coefficient normalization. The study develops 2D-models with a maximum detection range of 125.5 km, as well as 3D-models. Since the functional-voxel method is employed, base M-shapes of local characteristics are constructed. The simulation accuracy aligns with functional-voxel method readings, meaning the model’s values are calculated at each point while maintaining continuity, depending on the scale used.

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