Abstract
A two-dimensional (2D) diffraction model for the calculation of the diffraction field in 2D space and its applications to terahertz parallel-plate waveguide power splitters are proposed in this paper. Compared with the Huygens-Fresnel principle in three-dimensional (3D) space, the proposed model provides an approximate analytical expression to calculate the diffraction field in 2D space. The diffraction filed is regarded as the superposition integral in 2D space. The calculated results obtained from the proposed diffraction model agree well with the ones by software HFSS based on the element method (FEM). Based on the proposed 2D diffraction model, two parallel-plate waveguide power splitters are presented. The splitters consist of a transmitting horn antenna, reflectors, and a receiving antenna array. The reflector is cylindrical parabolic with superimposed surface relief to efficiently couple the transmitted wave into the receiving antenna array. The reflector is applied as computer-generated holograms to match the transformed field to the receiving antenna aperture field. The power splitters were optimized by a modified real-coded genetic algorithm. The computed results of the splitters agreed well with the ones obtained by software HFSS verify the novel design method for power splitter, which shows good applied prospects of the proposed 2D diffraction model.
Highlights
Figure 1. 2D diffraction model. (a) Geometry of the 2D diffraction model
To confirm the validity of this method, we import the optimized model into software HFSS based on finite element method (FEM) and create a 3D model to simulate
We have developed a 2D diffraction model that is economic and efficient numerical method able to compute electrically large multireflector power splitter
Summary
Figure 1. 2D diffraction model. (a) Geometry of the 2D diffraction model. Section I and III are perfect electronic conductor (PEC) boundary. (a) Geometry of the 2D diffraction model. (b) Schematics of a feed model with one reflector. The operating frequency is 300 GHz. a = 0.8636, w1 = 7, l1 = 7, d1 = 27, d2 = 25, (in mm) and α = 38°. (c) Magnitude and (d) phase of normalized magnetic-field along the x axis at the receiving plane: 2D diffraction results (dark line), HFSS results (red line). With conventional design methods of power splitter, we believe that the method based on the 2D diffraction model in this work can be very useful for the shape optimization of power splitter
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