Bistatic differentiable scattering center model for targets containing conical components

The scattering center (SC) model has attracted considerable attention in electromagnetic computing applications. However, existing SC models are usually derived from asymptotic methods without considering differentiability, which often leads to singularity. Interpolation or smoothing techniques are generally used to alleviate these issues, although their impact on radar cross section (RCS) is minimal, the non differentiability limits the effectiveness of the results in imaging applications. This article proposes a method of correcting singularity by introducing the Gamma function when calculating integrals. The proposed bistatic model ensures differentiability relative to angle and avoids Doppler spectrum leakage caused by singularity. To verify the model's effectiveness, its results are compared with full-wave simulations. The proposed model accurately reflects both RCS variations and Doppler frequency features.