Refined Ray Tracing inside Single- and Double-Curvatured Concave Surfaces
This book describes the ray tracing effects inside different quadric surfaces. Analytical surface modeling is a priori requirement for electromagnetic (EM) analysis over aerospace platforms. Although numerically-specified surfaces and even non-uniform rational basis spline (NURBS) can be used for modeling such surfaces, for most practical EM applications, it is sufficient to model them as quadric surface patches and the hybrids thereof. It is therefore apparent that a vast majority of aerospace bodies can be conveniently modeled as combinations of simpler quadric surfaces, i.e. hybrid of quadric cylinders and quadric surfaces of revolutions. Hence the analysis of geometric ray tracing inside is prerequisite to analyzing the RF build-up. This book, describes the ray tracing effects inside different quadric surfaces such as right circular cylinder, general paraboloid of revolution (GPOR), GPOR frustum of different shaping parameters and the corresponding visualization of the ray-path details. Finally ray tracing inside a typical space module, which is a hybrid of a finite segment of right circular cylinder and a frustum of GPOR is analyzed for practical aerospace applications.
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3-D Perspective Front angular separation Bounce Tmin Ás bounces Red dot Computational Electromagnetics Cumulative rays different incident points Figure Front View XZ GPOR and right GPOR frustum GPOR–right circular cylinder green dot represents Jha and Wiesbeck launched at 0.1 Matlab Red dot maximum time taken minimum and maximum modeled using Matlab number of bounces number of rays NURBS paraboloid of revolution path of rays Perspective Front View plot w.r.t. number point and green ray tracing inside rays launched rays reaching receiver rays that reach reach the receiver receiver after single receiver after three receiver w.r.t. N-bounce reception sub-cube Red dot represents refined ray tracing represents the center represents the source right circular cylinder shaping parameters Side View YZ single bounce Red source point space module surfaces of revolution three bounces Red three bounces visualized Tmin–Tmax plot w.r.t. Top View XY View XY Plane View XZ Plane visualized in Matlab YZ Plane