The modelling and the electromagnetic scattering from bifurcated open-ended cavities

Abstract

Ray-based methods have been previously developed for accurately predicting the electromagnetic scattering from cavity interiors that allowed for realistic modelling of complex cavities such as jet engine inlets. An analytic geometric model is developed for bifurcated cavities based on connecting sections of generalized super-ellipse functions. The electromagnetic scattering from such cavities using the 'shooting and bouncing rays' (SBR) method is discussed. BASIC SUPER-ELLIPSE CAVITY MODELThis section describes the mathematics of the basic super-ellipse cavity model that is used as a building block in the modelling of the bifurcated duct geometry of Figure 1. A super-ellipse can be defined on the x-y plane by: