Open Access Article

Title: Reconstruction of surface errors of the metallic waveguide based on electromagnetic scattering theory

Authors: Na Li; Bing Tang

Addresses: Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi'an, Shannxi, 710071, China ' Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi'an, Shannxi, 710071, China

Abstract: First, the fractal model of surface errors was constructed by means of the Monte Carlo method, and the source term and spectral amplitude of surface errors were calculated. The reconstruction model of surface errors was then established. The non-differentiable problem of the fractal model was solved by the fractional differential theory. To verify the accuracy of proposed models, a waveguide filter was manufactured. The reconstruction results obtained by the fractal function model were compared with the measured results, and a comparison of the results obtained by different reconstruction models proves that the fractal function is optimal in modelling.

Keywords: reconstruction; surface errors; metallic waveguide; electromagnetic scattering; fractal function; fractal modelling; fractional differential theory.

DOI: 10.1504/IJSURFSE.2016.081036

International Journal of Surface Science and Engineering, 2016 Vol.10 No.6, pp.585 - 599

Received: 17 Nov 2015
Accepted: 11 Jan 2016

Published online: 19 Dec 2016 *