Radar cross section calculation of a shell-shaped projectile using Bézier curves and physical optics

In this paper, the mono-static Radar Cross Section (RCS) of a shell-shaped projectile is formulated. The geometry of the projectile is modelled using Bézier curves. The proposed method models the surface as a whole, without requiring the need to sub-divide into smaller surfaces. This makes the method computationally efficient. For mathematical analysis of the projectile surface, differential geometry is used. The incident field on the surface of the projectile is assumed to be plane wave arriving with an arbitrary angle of incidence. The current density induced on the projectile surface due to the incident field is formulated from Physical Optics (PO) approximation. The PO radiation integral is performed to calculate field scattered from the projectile. The RCS is obtained from the scattered field as a function of incident angle.