Permittivity of a Lossy Medium using Antennas

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SUMMARY

The discussion centers on measuring the relative permittivity of a lossy medium using antennas, specifically through a calibrated instrument that utilizes a transmitter and two receivers. The instrument outputs values based on phase and amplitude readings, and the user seeks to understand the relationship between various variables and the wave equation involved. Key insights include the use of a capacitive sensor for calibration and the importance of understanding the geometry of the setup, particularly in relation to the dielectric constant of materials.

PREREQUISITES
  • Understanding of relative permittivity and dielectric constants
  • Familiarity with RF Vector Voltmeters, such as the HP8405
  • Knowledge of wave equations in electromagnetics
  • Basic principles of capacitive sensing and its application in measuring permittivity
NEXT STEPS
  • Research the wave equation and its application in measuring permittivity
  • Explore the principles of capacitive sensors and their calibration methods
  • Study the operation and specifications of RF Vector Voltmeters
  • Investigate empirical relationships between amplitude, phase, and permittivity
USEFUL FOR

Electrical engineers, researchers in material science, and technicians involved in RF measurements and sensor calibration will benefit from this discussion.

Petrol Guy
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First of all I will being with I'm not an electric engineer so I might be out of my wits, but I will give it a try.

So I have an instrument which reads relative permittivity using a transmitter and two receiver placed at different distances. The instrument is calibrated to read either in a vacumm or air and based on the phase and amplitude record at the antennas an value is outputed. In terms of a formula or how my eight variables are a function of each other I'm unsure. I know it should use some sort of wave equation using the reference wave vs the actual wave and solve the impedence caused by the medium.

Let me know if you have an idea how this may be formulated? Thanks
 
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Petrol Guy said:
First of all I will being with I'm not an electric engineer so I might be out of my wits, but I will give it a try.

So I have an instrument which reads relative permittivity using a transmitter and two receiver placed at different distances. The instrument is calibrated to read either in a vacumm or air and based on the phase and amplitude record at the antennas an value is outputed. In terms of a formula or how my eight variables are a function of each other I'm unsure. I know it should use some sort of wave equation using the reference wave vs the actual wave and solve the impedence caused by the medium.

Let me know if you have an idea how this may be formulated? Thanks
It sounds like you want to use a capacitive sensor to figure out the dielectric constant of a material, and use a reference set of plates with just air or vacuum between them to help you calibrate the measurement. Is that what you are wanting to do? Do you have a sketch of your setup? Do you know the equation that relates the capacitance and geometry of the plates to the permittivity of the material between the plates?
 
That sounds to be what I'm after (not sure if the same principle as plates but using an attenna like receiver [circular bars]). As for a general geometery it is imaged below. I do have the permittivity values at set amplitudes and phases, the frequence of the wave and lots of data (amplitudes and phase vs permittivity) to build an empirical relationship. As for a the potential relationship I'm unsure since I'm not extensively familar with the wave equation and electromagnetics.

upload_2016-9-15_10-59-3.png
 

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Based on your username and you having a pipe in your drawing, are you wanting to measure the dielectric constant of some fluid flowing in the pipe?

What are the horizontal lines in the pipe drawing?
 
Ya we measuring the dielectric constant, I just trying to figure out how it is done in order to troubleshoot or apply an offset if required.

The horizontal lines is a 1/4 inch thick piece of metal which divides the pipe into two. On one side the permittivity is calculated and on the other side is a other sensor which determines the continuous phase.
 
What RF frequency or range of frequencies is used by the instrument ?
Who is manufacturer and what model is the instrument ?

Petrol Guy said:
The instrument is calibrated to read either in a vacumm or air and based on the phase and amplitude record at the antennas an value is outputed.
The relative permittivity is independent of the environment, vacuum or air.
It will be hard to detect the difference between a measurement made in vacuum versus air.

Relative amplitude and phase can be read with a two channel RF Vector Voltmeter such as the old HP8405.
 
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