??♂️
Wrong. In electromagnetics, dispersion means epsilon and mu change with frequency. This means frequency-dependent loss, since the imaginary part of epsilon and mu describe loss. The manner the imaginary parts change with frequency are called dispersive models, e.g. Debye.
You’re conflating dispersion with the loss tangent. Both are related to permittivity but describe different phenomena. Dispersion is what you get when phase velocity is a function of frequency. The imaginary portion of the permittivity contributes to the loss tangent.
Dispersion distorts the signal, which can impact its information carrying capacity, but not its power and thus not its radiation efficiency.
I use the exact same software that Apple uses to design their antennas and loss models are called dispersion.
I don’t know the tool or have a manual, so I can’t speak to whether or why the tool uses dispersion to mean loss. It’s possible they mean it as a shorthand for all permittivity related parameters, or it may be that it is reporting “dispersion and loss”, not “dispersion loss”. Or the tool could be taking a link budget oriented approach and addressing it as a loss of data capacity rather than a loss of radiated power.
Fundamentally, Ohm's law does not vary with frequency. Frequency-dependent loss models rely on parameters, beyond "resistance", that deal with the solid-state physics behind the material. This is why we refer to them as "loss" and not "Ohmic losses".
I think I was pretty clear in what I meant:
Power lost to heat whether in the conductors or dielectrics.
Radiation loss is also a loss, but we need a way to separate the desired losses from the undesired ones. If you don’t like my term then call it what you want, but just calling it “loss” is ambiguous. Shall we call it “losses to heat”?
The solid state physics you’re describing includes the loss tangent which sums the conductivity with the imaginary component of the frequency scaled permittivity. You can do this because frequency scaled permittivity has units of 1/(ohm*meter). This is why the ESR of a capacitor is measured in ohms and treated like a frequency dependent resistor and the same carries beyond just lumped element analysis into the field gradients within dielectrics.
Did Ohm test his relation against frequency variant sources in the early 1800’s? Not that I know of. Did he understand that resistance can be parameterized and can vary with temperature at the least? Yes. Did he understand resistivity beyond lumped resistance? Yes. Do we see a familiar pattern among other relations for voltage, current and complex impedance that is so similar to E=IR that someone could call it Ohms Law and just about anyone would understand the meaning? Yes.
So even if not fully inclusive I feel my terminology is not without basis and should have been sufficient for you to understand my point. An inability to bridge even small differences in terminology is not an indication of a stronger understanding of concepts— quite the opposite.
A failure here of engineering reasoning. Power factor does not cause any power loss in a lossless system, obviously. It tells you how much energy you unnecessarily move.
Similarly the Chu limit tells you how much energy you have to unnecessarily move, via Q. So in a lossy system, the Chu limit poses an indirect bound on wasted energy.
Simple reasoning.
Indirect bound.
Ok, you’re getting close to an island of truth to stand on. Let me take you the rest of the way…
First, you’ve been so gracious in this discussion so far that I hesitate to point out your errors, but it’s actually higher Q that indicates more stored energy, not lower Q. Stored energy itself isn’t wasted energy, and in the Chu derivation all of the stored energy eventually radiates out because there is nowhere else for it to go. Once we depart from the Chu formulation, the ideality of the components is removed and losses are introduced, then those losses dissipate some of that stored energy over time leading to reduced efficiency. While Chu uses Q to determine the fractional bandwidth of the antenna, he does calculate it as the ratio of stored energy to radiated power in his ideal lossless circuit model. So, stored energy is proportional to Q. In most solutions to the Chu limit, the Q is a summation of powers of 1/ka, where ka is the electrical radius of the bounding sphere of the antenna. If you keep the physical dimension of that bounding sphere (’a’) fixed and reduce the wavelength then ‘k’ increases and Q decreases, meaning stored energy decreases, meaning efficiency increases. As you keep the physical dimension the same and increase frequency, efficiency improves.
So, we’re finally on the same page here, but how did this conversation start?
More importantly to the mm-wave discussion, it's not the physical size of the antenna that drives the efficiency but the electrical size. Keep the enclosure design the same and increase the frequency and the antenna gets electrically larger and efficiency goes up
Somehow, after 8 posts, you agree with me while trying even now to make it sound like I’m the one that has no idea what they’re talking about. ?
Still, while it seems to have eventually brought you to the right answer, using something like the Chu Limit to indirectly estimate efficiency is kind of pounding screws…
For one thing, substituting lossy components changes the Q, so the parameter you’re calculating is wrong from the start. For another, the loss isn’t uniform— there are different contributions from the conductors and dielectrics. And, of course, the Chu limit still assumes free space and you just spent half this thread ranting about how hard antenna design is because of all the other stuff in the near field.
A much more sensible approach is to use one of the many other models for antenna dissipation factor out there to estimate efficiency. Perhaps your confusion comes from the fact that many derivations begin from Chu’s equivalent circuit rather than his limit on Q as their starting point, but adapt it to more practical problems and then estimate losses to heat directly.
The simple fact is that nearly 100% of what you have claimed so far is incorrect or incomplete. I would not take this position if you don't keep insisting that you know what you're talking about, because you don't and you keep repeating falsehoods.
The fact is that you may know analog circuits, but you keep making mistakes that reveal a lack of knowledge of electromagnetics and antennas. The fact that you think dispersion isn't related to loss is a perfect example.
If you’re going to insist on keeping score, let’s review:
More importantly to the mm-wave discussion, it's not the physical size of the antenna that drives the efficiency but the electrical size. Keep the enclosure design the same and increase the frequency and the antenna gets electrically larger and efficiency goes up
We now agree I was right.
Actually no, loading antennas to make them electrically longer exactly results in loss. There is a relationship with the physical size, the well-known Chu limit
Not so much…
The Chu limit relates bandwidth to the electrical size (k*a) of the antenna. The Chu limit is expressly for lossless antennas.
I’m right on both counts.
Wrong. You are mistaken in calling d/lambda the "electrical length". It is not. That is the physical length of the antenna.
The Chu limit is a nice piece of theory that matches the loss due to low radiation resistance versus tricks like matching and loading.
Wrong on both counts. d/lambda is an electrical length, and the Chu limit doesn’t account for any loss beyond radiation loss.
The Chu limit is a nice piece of theory that sets an upper bound on bandwidth for an antenna of a given electrical dimension. As I said, loss (beyond radiation loss) doesn’t enter into the Chu limit at all— he assumes idealized, lossless elements.
Again, right on all counts.
Wrong. Simple circuit theory. If you take a second to think about it, then you can easily see that in a lossless antenna, any power must be either returned to the source (stored in the matching network), or radiated. Thus, an antenna with a low Q must have higher losses, and therefore lower efficiency, because more energy is being returned.
Wrong on two counts: The energy is not only stored in the matching network, it is also stored in the near field of the radiating element (which is why the match is even necessary to begin with). Higher Q circuits mean more stored energy, not less.
Please, review the derivation of the Chu limit before you argue this any further. The Chu limit assumes free space (no dielectrics, nothing else in the near field), ideal lossless elements (no conduction losses, no power lost in the matching network) and a purely real (resistive) input impedance (nothing being returned to the source).
All correct.
Similarly the Chu limit tells you how much energy you have to unnecessarily move, via Q. So in a lossy system, the Chu limit poses an indirect bound on wasted energy.
Not the intent of the Chu limit, but indirectly and approximately correct.
And as for dispersion, I’m pretty sure I’m right on that as well, but even if there is some narrow subfield fo EM theory that has expanded the definition of dispersion to focus on frequency dependent susceptibility rather than actual dispersal of frequencies that really adds nothing to your argument.
This is the problem with credentialist and pedantic language arguments-- I’ve managed to be right on the essential facts without once having to mention what degrees, title or experience I have while you appear more interested in discrediting me as you stumble through the underlying theory.
Being a cretin doesn’t make me wrong. ?