Implementation of coordinate transformations in periodic finite-element method for modeling rough surface scattering problems


ÖZGÜN Ö. , KUZUOĞLU M.

INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING, vol.26, no.4, pp.322-329, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.1002/mmce.20968
  • Title of Journal : INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING
  • Page Numbers: pp.322-329
  • Keywords: coordinate transformation, transformation electromagnetics, finite element method, periodic boundary conditions, Monte Carlo, rough surface scattering, METAMATERIAL, WAVES

Abstract

The coordinate transformation technique (with its current name of transformation electromagnetics) is applied to the finite-element method (FEM) with periodic boundary conditions for efficient Monte Carlo simulation of one-dimensional random rough surface scattering problems. In a unit cell of periodic structure, two coordinate transformations are used, one of which is a real transformation designed to model the rough surface with flat surface, and the other is a complex transformation used to design a perfectly matched layer for mesh truncation. The approach is easily implementable because only the nodal coordinates are replaced by the transformed coordinates in a standard FEM. Since a simple and single mesh with flat surface is used, Monte Carlo simulations are performed in an efficient manner. Numerical results are presented for various rms surface heights, correlation lengths, and angles of incidence. (c) 2016 Wiley Periodicals, Inc. Int J RF and Microwave CAE 26:322-329, 2016.