研究目的
Investigating the reconstruction of surface errors of the metallic waveguide based on electromagnetic scattering theory to accurately describe surface errors and their influence on the waveguide’s transmission performance.
研究成果
The fractal model of surface errors is more accurate than the exponential and Gaussian models. The reconstruction model based on the fractal function shows good agreement with the measured data, proving its effectiveness in modeling surface errors of metallic waveguides.
研究不足
The inner wall of the waveguide, being a closed cavity, cannot be measured accurately after processing, leading to potential inaccuracies in the measured data. The encapsulation process may introduce new errors.
1：Experimental Design and Method Selection:
The fractal model of surface errors was constructed using the Monte Carlo method. The non-differentiable problem of the fractal model was addressed with fractional differential theory. The reconstruction model of surface errors was established using a mixed algorithm of the perturbation method and the method of moment (MOM).
2：Sample Selection and Data Sources:
A seven-stage waveguide filter was selected for measurement. Surface errors on its upper inner walls were measured using the Taylor Hobson profile measuring instrument.
3：List of Experimental Equipment and Materials:
Taylor Hobson profile measuring instrument (R/4 * 0.8 mm/G/300/LS and 4.1 mm/Admin/INTRA 50 mm).
4：8 mm/G/300/LS and 1 mm/Admin/INTRA 50 mm).
Experimental Procedures and Operational Workflow:
4. Experimental Procedures and Operational Workflow: The local contour of measured results was reconstructed with the fractal function. The reconstruction results were compared with measured data and those obtained by exponential and Gaussian functions.
5：Data Analysis Methods:
The power spectral density function of the error surface was analyzed. Linear fitting was performed on the curve using the least square method to solve the amplitude G and fractal dimension D of the fractal function.
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