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3D Partially Filled Rectangular Cavity Resonator with FDTD Method
Abstract
In this study, electromagnetic analysis of a three-dimensional lossless closed rectangular resonator was performed by using Finite Difference Time Domain (FDTD) method.
First, the definition and formulas of Maxwell's equations are given. And then, with the Taylor series approach, from the Maxwell equations, using the FDTD method, the Update equations were obtained mathematically. For the electromagnetic analysis of the resonator by the significance of the thesis subject, these Update equations were calculated numerically and the field distributions on the simulation were examined at each point on the Yee cells placed in the resonator.
The 3-dimensional lossless cavity resonator was analyzed. In the first step, the cavity is entirely air-filled. Both the analytical and the simulation results were confirmed with their comparison. As a second step, the void resonator was half-filled (partially) with lossless dielectric material, and then all the operations for the analysis of the air-filled (empty) resonator were likewise repeated for the partially filled cavity resonator. In the last step, the obtained results were compared between the analytical solutions and simulation outputs, especially based on resonance frequencies.
In this study, resonance frequencies of a cubic resonator filled with a partial dielectric material are calculated using Finite Difference Time Domain (FDTD) method. The resonator's field distributions and time domain behaviors are investigated using a point Gaussian pulse type hard source. The resonance frequencies obtained by transforming the calculated time domain signals to the frequency domain with Fast Fourier Transform (FFT) are compared with the analytical results. The resonance frequency calculation errors are reduced by applying an averaging technique and a high-resolution gridding for the field discontinuity observed at a dielectric interface.
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