DocumentCode
933295
Title
An algorithm for solving Roberts-von Hippel equation: separation of close solutions
Author
Iglesias, T.P. ; Seoane, A. ; Rivas, J.
Author_Institution
Vigo Univ., Spain
Volume
42
Issue
3
fYear
1993
fDate
6/1/1993 12:00:00 AM
Firstpage
760
Lastpage
763
Abstract
The proximity of the solutions of the transcendental equation and tanh z /z =c on the complex plane arising in the determination of the complex dielectric permittivity with the short-circuited-line method is studied. A numerical procedure is described which is capable of obtaining the required number of solutions, even those lying very close to each other, from one single initial point. The method is applied to measurements of various organic liquids
Keywords
function approximation; organic compounds; permittivity measurement; short-circuit currents; Newton-Muller method; Roberts-von Hippel equation; coaxial line; complex dielectric permittivity; numerical procedure; organic liquids; short-circuited-line; transcendental equation; Biological cells; Capacitors; Electronic circuits; Equations; Frequency; Fungi; Operational amplifiers; Permittivity; Voltage; Voltage-controlled oscillators;
fLanguage
English
Journal_Title
Instrumentation and Measurement, IEEE Transactions on
Publisher
ieee
ISSN
0018-9456
Type
jour
DOI
10.1109/19.231605
Filename
231605
Link To Document