An algorithm for solving Roberts-Von Hippel equation: separation of close solutions

Author

Iglesias, T.P. ; Seoane, A. ; Rivas, J.

fYear

1992

fDate

18-25 June 1992

Abstract

Summary form only given. The short-circuited line method for the determination of the complex permittivity requires solving a transcendental equation. The authors discuss a numerical procedure for solving the Robert-Von Hippel equation which makes it possible to distinguish close solutions. It finds any desired number of solutions without needing a previous survey to select initial approximations to the roots. It is easy to implement and does not require large computational power. Execution times are reasonably low. The algorithm has been tested both numerically and against experimental results with several organic liquids.<>

Keywords

equations; numerical analysis; permittivity; transmission line theory; Robert-Von Hippel equation; algorithm; close solutions; complex permittivity; numerical method; organic liquids; roots; short-circuited line method; transcendental equation; Computer errors; Dielectrics; Equations; Iterative methods; Newton method; Permittivity; Position measurement; Testing; Thickness measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1992. AP-S. 1992 Digest. Held in Conjuction with: URSI Radio Science Meeting and Nuclear EMP Meeting., IEEE

Conference_Location

Chicago, IL, USA

Print_ISBN

0-7803-0730-5

Type

conf

DOI

10.1109/APS.1992.221553

Filename

221553