Lossless transmission line and a lossless antenna

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Discussion Overview

The discussion centers around the behavior of energy transmission in a lossless transmission line connected to a lossless antenna, particularly focusing on the implications of impedance matching and the effects of mismatches at the junction. Participants explore the theoretical aspects of energy reflection and absorption in this context.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Bob expresses confusion about how energy in a rearward moving wave can be re-reflected 100% when there is a mismatch at the antenna/transmission line junction.
  • Some participants clarify that if the transmission line (TL) and antenna are mismatched, some transmitter energy will be reflected, resulting in less than 100% of the power reaching the antenna.
  • Bob speculates that the transmitter absorbs the reflected energy and compensates by increasing its output power, questioning how this process occurs.
  • Mike explains that the reflected energy presents a mismatched load to the transmitter, which can have a tuned stage to match the impedance seen or may require an external antenna matcher to adjust the impedance.
  • Another participant notes that if the transmitter sees a low impedance, it can lead to overheating, while a high impedance can cause excessive voltages that may damage components.
  • It is mentioned that commercial transceivers often include a Standing Wave bridge to reduce drive to the output transistors if poor matching is detected.

Areas of Agreement / Disagreement

Participants generally agree that mismatches lead to reflected power and that the transmitter must manage this reflected energy. However, there is no consensus on the specifics of how the transmitter compensates for this reflected energy or the implications of various mismatches.

Contextual Notes

The discussion includes assumptions about the behavior of energy in transmission lines and antennas, as well as the technical capabilities of transmitters to handle mismatches. There are unresolved questions regarding the exact mechanisms of energy redirection and compensation by the transmitter.

Wannabeagenius
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Hi All,

I understand that if you have a lossless transmission line and a lossless antenna and there is a mismatch at the antenna/transmission line junction, no energy is lost. If the transmitter is delivering 100 watts into the line, 100 watts will be radiated from the antenna.

I'm wrestling with this concept and getting nowhere because it seems impossible. How is the energy in the rearward moving wave rereflected 100%

I've been told that the impedance of the transmitter is matched to that of the transmission line by the transmitter having an impedance that is the complex conjugate of that of the transmission line. But, as I see it, this only means that power from the transmitter to the transmission line is smoothly transferred with no reflections. This doesn't address the wave reflected back from the antenna.

I'm thinking that the rearward wave gets completely absorbed by the transmitter and the transmitter increases its power in order to compensate! I'm thinking complete absorption because the impedance is perfectly matched from the transmission line into the transmitter.

As you can see, I'm guessing like wild! Please explain how this is done.

Thank you,

Bob
 
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Wannabeagenius said:
Hi All,

I understand that if you have a lossless transmission line and a lossless antenna and there is a mismatch at the antenna/transmission line junction, no energy is lost. If the transmitter is delivering 100 watts into the line, 100 watts will be radiated from the antenna.

I'm wrestling with this concept and getting nowhere because it seems impossible. How is the energy in the rearward moving wave rereflected 100%

I've been told that the impedance of the transmitter is matched to that of the transmission line by the transmitter having an impedance that is the complex conjugate of that of the transmission line. But, as I see it, this only means that power from the transmitter to the transmission line is smoothly transferred with no reflections. This doesn't address the wave reflected back from the antenna.

I'm thinking that the rearward wave gets completely absorbed by the transmitter and the transmitter increases its power in order to compensate! I'm thinking complete absorption because the impedance is perfectly matched from the transmission line into the transmitter.

As you can see, I'm guessing like wild! Please explain how this is done.

Thank you,

Bob

You are thinking along the correct lines, but some of the initial premise is incorrect.

If the TL and antenna are mismatched, some of the TX energy will be reflected, so less than 100% makes it to the antenna to be radiated. The amount of reflected power varies with the extent of the mismatch.

And yes, if the TX amplifier is matched to the TL, then all of the reflected energy will be absorbed by the TX amp.
 


berkeman said:
And yes, if the TX amplifier is matched to the TL, then all of the reflected energy will be absorbed by the TX amp.

OK. This means that the transmitter than has to put its normal output plus this addional absorbed power back out in order to get 100% of the intitial energy radiated.

Does the transmitter somehow redirect this absorbed energy back to the transmission line? If so, how? What kind of circuitry are we talking about?

Thanks again,
Bob
 


Hello Bob,

The reflected energy gets back to your transmitter and presents the transmitter with what it perceives to be a mismatched load. Depending on the antenna's load and the length of the transmission line (in wavelengths), the transmitter can see a mismatch that is a combination of being off resistively, but also with either capacitance or inductance elements.

Some transmitters have a tuned stage on their output that can be tuned to match the seen impedance. Thus, the transmitter can tune to the mismatch. In other cases, a separate tuning device, the antenna matcher, can transform the impedance seen at the transmitter to the conjugate of the one at the transmission line.

Of course, if the mismatch between the antenna and transmission line is too great, a good deal of energy can be wasted in the transmission line. Thus, some matching devices are placed at the junction of the antenna and transmission line and operated remotely.

- Mike
 


The transmitter sees the reflected power as a mismatch in the line.

If it sees a low impedance, this becomes the load of the transmit devices. So, they can overheat when they draw too much current.

If it sees a high impedance, this becomes the load for the transmit devices and the result can be excessive voltages being developed which may destroy transistors etc.

So, to avoid these effects, commercial transceivers have a built in Standing Wave bridge which reduces the drive to the output transistors of the transmitter if it detects poor matching on the antenna.

So, you not only lose the power that is reflected, you get less power out of the transmitter to start with.
 

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