Rigorous three dimensional analysis tools for electromagnetic analysis of the interactions of radar with jet engines do not exist at the moment. The development of tools to perform this analysis have involved direct application of existing three dimensional techniques. However, these techniques incur excessive costs and are limited to unrealistic geometries. A radical reduction in the complexity of the model for radar scattering and modulation from jet engines has been found by uncovering that the overlapping symmetries between the incoming modes and the angularly periodic engine face give rise to a very sparse set of possible scattered modes. This phenomenon can be used to reduce the cost of computations in several ways.