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

Date

2016-05-01

Author

ÖZGÜN, ÖZLEM
Kuzuoğlu, Mustafa

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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.

Subject Keywords

Coordinate transformation, Transformation electromagnetics, Finite element method, Periodic boundary conditions;, Monte Carlo, Rough surface scattering

URI

https://hdl.handle.net/11511/32721

Journal

INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING

DOI

https://doi.org/10.1002/mmce.20968

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

Ö. ÖZGÜN and M. Kuzuoğlu, “Implementation of coordinate transformations in periodic finite-element method for modeling rough surface scattering problems,” INTERNATIONAL JOURNAL OF RF AND MICROWAVE COMPUTER-AIDED ENGINEERING, pp. 322–329, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32721.