Analysis of the cylindrical PML ABC for 2-D finite volume simulations in the frequency domain

Author

Ribeiro, Luísa F. ; Novo, Marcela S.

Author_Institution

Dept. of Electr. Eng., Fed. Univ. of Bahia, Salvador, Brazil

fYear

2011

fDate

Oct. 29 2011-Nov. 1 2011

Firstpage

989

Lastpage

993

Abstract

A comparative analysis of two cylindrical perfectly matched layers (PML) absorbing boudary condition (ABC) for bi-dimensional (2-D) finite-volume (FV) simulations in the frequency domain is presented. We study the impact of PML parameters on the condition number of the FV system matrix by comparing the performance of two PML loss profiles, viz., polynomial and geometric grading. The discretization error due to FV approximation is also examined. FV results are validated against analytical solution. Results show that the polynomial profile has outperformed the geometric in terms of wave absorption and condition number of the system matrix.

Keywords

electromagnetic wave absorption; finite difference time-domain analysis; finite volume methods; frequency-domain analysis; matrix algebra; polynomial approximation; 2D finite volume simulations; FV approximation; FV system matrix; absorbing boudary condition; cylindrical PML ABC; discretization error; frequency domain analysis; geometric grading; perfectly matched layers; polynomial; Conductivity; Electric fields; Frequency domain analysis; Perfectly matched layers; Polynomials; Reflection; Transmission line matrix methods; Condition number; Maxwell´s equations; finite volume method; perfectly matched layers;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave & Optoelectronics Conference (IMOC), 2011 SBMO/IEEE MTT-S International

Conference_Location

Natal

ISSN

Pending

Print_ISBN

978-1-4577-1662-1

Type

conf

DOI

10.1109/IMOC.2011.6169362

Filename

6169362