Permittivity of a Lossy Medium using Antennas

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Discussion Overview

The discussion revolves around the measurement of relative permittivity in a lossy medium using antennas. Participants explore the formulation of the measurement process, the relationship between various parameters, and the calibration of instruments used for this purpose. The conversation includes aspects of electromagnetic theory and practical applications in a specific setup involving a pipe and sensors.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant describes an instrument that measures relative permittivity using a transmitter and two receivers, calibrated for vacuum or air, and seeks a formula relating the eight variables involved.
  • Another participant suggests that the measurement may involve a capacitive sensor and asks for clarification on the setup and the equations relating capacitance to permittivity.
  • A participant expresses uncertainty about the relationship between the wave equation and the measurement process, indicating a lack of familiarity with electromagnetics.
  • One participant inquires whether the measurement is intended for a fluid flowing in a pipe, based on a drawing provided by the original poster.
  • Further clarification is provided regarding the setup, including a metal divider in the pipe and the use of a sensor to determine continuous phase.
  • A question is raised about the RF frequency used by the instrument and its manufacturer, along with a comment on the challenges of distinguishing measurements in vacuum versus air.
  • It is noted that relative permittivity is independent of the environment, and a specific type of RF Vector Voltmeter is mentioned as a potential tool for reading relative amplitude and phase.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and familiarity with the concepts involved, leading to some uncertainty about the measurement process and the theoretical underpinnings. There is no consensus on the exact formulation or methodology for measuring relative permittivity in this context.

Contextual Notes

Participants mention various assumptions regarding the calibration of instruments and the relationship between different physical parameters, but these assumptions remain unresolved. The discussion highlights the complexity of the measurement process and the potential influence of environmental factors.

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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