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
fDate :
6/1/1993 12:00:00 AM
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;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
