“…As it has been mentioned, the sophisticated ray methods (GTD, UTD (Uniform Theory of Diffraction)) and normalmodes methods (or hybrid combinations of them), which overcome the difficulties experienced by the simple ray theory in complex propagation environments (caustics, shadow zones, ducted propagation), are not easy to include in routine calculations. The great flexibility demonstrated by the PE has turned its simplest form (1) into the preferred technique for solving tropospheric propagation problems in a number of thoroughly validated and practically applied radiowave propagation assessment tools as: VTRPE (Variable Terrain Radio Parabolic Equation, solution of (1) based on SSF) [94], PCPEM (PC Parabolic Equation Model, SSF based) [37], TPEM (Terrain Parabolic Equation Model, uses SSF) [45], TER-PEM (TERrain Parabolic Equation Model, successor of PCPEM, combines PE and ray-trace techniques) [95], TEMPER (Tropospheric Electromagnetic Parabolic Equation Routine, based on DMFT) [69], [72], APM (Advanced Propagation Model, hybrid model that uses ray optics and DMFT-based PE) [73], PREDEM (PREdiction of ElectroMagnetic Detection) [96], AREPS (Advanced Refractive Effects Prediction System) [97]. Some of the limitations of this widely spread modeling of the 3D environment with 2D PE are discussed below.…”