Talk is cheap. The language of physics is mathematics. Equations would give those that are versed in the subject (probably not me - but others) plenty of clarification.
But you may say, the red-shift at the small-end is undone by the blue shift at the large-end? No, I think not!
A multi-mode cavity has more modes, density of states (in that foul tongue of QM which I abhor uttering) at the large end. More degrees of freedom. An increase in Entropy! Just like a heat engine.The second statement literally does nothing to support your "No, I think not." It doesn't make the blue shift go away by some kind of magic. Entropy is not relevant to the discussion, since energy and momentum won't just appear out of nowhere just to make entropy increase. Nothing you are describing increases the density of states anyway.
Literally, I think so. The blue shift goes away either by cavity dissipation or by being red-shifted at the cavity apex if the cavity accelerates. IF...
What is frustrating is when people like you who apparently don't even know how to calculate momentum of an EM wave think they are somehow smarter than people who actually know what they are talking about. Try to recognize that maybe the reason that qualified people don't agree with you is because you are wrong.
I have never found a highly qualified microwave engineer here, that is one that has years of EM simulation experience with waveguides and antennas, R&D. Shell, Dave maybe the best, one Nasa test engineer showed up for maybe one post, and Dr. Rodal's math expertise seems to be with gravity and fluid dynamics. One other guy with military radar.
I have alluded to a bit of uncertainty regarding my conjectures and reasoning, which are based on references I link. Of course I concede I may be wrong.
I think not.
I wouldn't spend time here if I didn't think I was right.
Now, a stationary electron can be (whether accurately or not) thought of (modeled) as a standing electromagnetic standing wave in a nonlinear Kerr-effect media (quantum vacuum). A moving electron, as a marching wave. If similar conditions are created in an appropriate waveguide (frustrum), will it too move, similar to how particles move? Is the EM drive system acting like a macroscopic particle?
...
do the math and try to show it.

[quote}
I wouldn't spend time here if I didn't think I was right.
Assume the EM wavefront propagates initially from the large end plate towards the small end plate. At the end of this forward transit, the wavefront is reflected at the small end plate. At this time, due to cavity acceleration, the cavity velocity has increased to Vr whereas the wavefront has a constant guide velocity of Vg2. The relative addition of these velocities, gives the reflected wavefront a Doppler Shift, resulting in a reduced frequency Fr for the reverse transit.
On reaching the large end plate, the wavefront is again reflected and subjected to a second Doppler shift, resulting in the forward frequency Ff. The increase in frequency is calculated from the relative addition of the guide velocity Vg1 and the new cavity velocity Vf."
But you may say, the red-shift at the small-end is undone by the blue shift at the large-end? No, I think not!
The blue shift goes away either by cavity dissipation or by being red-shifted at the cavity apex if the cavity accelerates. IF...


According to point #3, he specifically talks about the frequency of the travelling wave moving outside the narrow resonant bandwidth of the cavity, leading to a reduction in stored energy, thus a reduction in Q, and a reduction in thrust.
Let's put this claim aside for now and focus on blue vs red shifts only. The acceleration of the cavity (small end leading) indeed introduces Doppler shifts: EM waves are being redshifted (their wavelength becomes longer and the EM wave looses energy) after their reflection on the "receding" small end, while they are being blueshifted (their wavelength gets longer, and their energy increases) after reflection on the "approaching" big end. Such effect being amplified by the acceleration, as the velocity of the cavity between two bounces keeps increasing. Shawyer explains this effect:
According to point #3, he specifically talks about the frequency of the travelling wave moving outside the narrow resonant bandwidth of the cavity, leading to a reduction in stored energy, thus a reduction in Q, and a reduction in thrust.Which is nonsensical because the blueshift restores energy to the wave. The cavity Q is unaffected, because the waves all originate form the cavity so the velocity can't matter.Let's put this claim aside for now and focus on blue vs red shifts only. The acceleration of the cavity (small end leading) indeed introduces Doppler shifts: EM waves are being redshifted (their wavelength becomes longer and the EM wave looses energy) after their reflection on the "receding" small end, while they are being blueshifted (their wavelength gets longer, and their energy increases) after reflection on the "approaching" big end. Such effect being amplified by the acceleration, as the velocity of the cavity between two bounces keeps increasing. Shawyer explains this effect:But the more blueshift there is, the more cancelling force there will be that will produce acceleration in the opposite direction. This always happens in the direction opposite the original acceleration, so can never be the cause of initial acceleration.
How many times do Shawyer's statements have to be proven self contradictory before people stop using them as a basis for thinking? Starting at 1=0 you can prove anything you want, but it is meaningless.
Because the guide velocity is different at each end, the Doppler shifts are different, even for a constant rate of acceleration.
This build-up of net frequency shift causes a widening of the spectrum of the standing wave pattern, and causes much of the power spectrum to fall outside the narrow bandwidth of the resonant cavity. Clearly this effect will increase with increasing cavity Q, as the number of reflections increase, together with the reduction in bandwidth.
Quote from: Roger ShawyerBecause the guide velocity is different at each end, the Doppler shifts are different, even for a constant rate of acceleration.
Do you disagree here with the claim that the guide velocities Vg1 > Vg2 and subsequently, that they induce unequal Doppler shifts during the acceleration of a tapered cavity?
Note that this configuration ensures that there is no orthogonal component of the guide velocity reflected from the side wall, thus ensuring a zero side wall force component in the axial plane.
To X_Ray and others.
About the EM lobes (antinodes) in a frustum cavity that look (in FEKO/COMSOL/etc) at the same time:
- axially stretched (and radially squeezed) near small end
- axially squeezed (and radially stretched) near big end
Is the following animated representation of this effect correct, from the point of view of the spatial shape and temporal evolution of the standing wave in a cylindrical vs frustum resonant cavities?
I'm not starting at 1=0, just want to check where are the flaws if any.
So you seem in agreement with the fact that there is some redshift occurring at the front and blueshift at the rear when a cavity accelerates.
Quote from: Roger ShawyerBecause the guide velocity is different at each end, the Doppler shifts are different, even for a constant rate of acceleration.
Do you disagree here with the claim that the guide velocities Vg1 > Vg2 and subsequently, that they induce unequal Doppler shifts during the acceleration of a tapered cavity?
This build-up of net frequency shift causes a widening of the spectrum of the standing wave pattern, and causes much of the power spectrum to fall outside the narrow bandwidth of the resonant cavity. Clearly this effect will increase with increasing cavity Q, as the number of reflections increase, together with the reduction in bandwidth.
Quote from: Roger ShawyerBecause the guide velocity is different at each end, the Doppler shifts are different, even for a constant rate of acceleration.
Do you disagree here with the claim that the guide velocities Vg1 > Vg2 and subsequently, that they induce unequal Doppler shifts during the acceleration of a tapered cavity?Quote from: Roger ShawyerNote that this configuration ensures that there is no orthogonal component of the guide velocity reflected from the side wall, thus ensuring a zero side wall force component in the axial plane.
I thought we determined that this statement is incorrect. So, taking into account all Doppler shifts from both ends and the side wall, the net force should be zero. If you disagree, please show the math.
… and a reduction in thrust.
Let's put this claim aside for now and focus on blue vs red shifts only.
To X_Ray and others.
About the EM lobes (antinodes) in a frustum cavity that look (in FEKO/COMSOL/etc) at the same time:
- axially stretched (and radially squeezed) near small end
- axially squeezed (and radially stretched) near big end
Is the following animated representation of this effect correct, from the point of view of the spatial shape and temporal evolution of the standing wave in a cylindrical vs frustum resonant cavities?It is a oversimplification.
The animation is correct as long as it should illustrate the polarity(vector E into phi direction) of the E-field component of the EM-field within the dielectric* only over time. The Field intensity at the very locations depend on the cavity shape. Please see the attached paper from Dr. Rodal for more details.
The following FEKO animation below shows what happens in detail over a full 360 deg cycle (for TE012 in this case) for both E & H.
FEKO EM animation of a TE012 cavity resonator
https://forum.nasaspaceflight.com/index.php?topic=39214.msg1646352#msg1646352
*vacuum or whatever dielectric material

If I wasn't clear enough from the beginning, let't write it extensively: I am not trying in the last couple of messages to prove the origin or even the reality of any anomalous thrust in relation with possible Doppler shifts. I just ask if we can discuss properly about these Doppler shifts, their origin and their behavior, in various cavity shapes accelerating (or not) by an arbitrary external force. Not any possible or impossible "thrust" as this is another story. That's all.
Why do you resort to an obvious wrong claim ("no force on side walls") to disprove the one being discussed (Vg1 > Vg2) which has nothing to do with it? I am sorry, but this is a suggested irrelevant conclusion using an association fallacy.
Why do you resort to an obvious wrong claim ("no force on side walls") to disprove the one being discussed (Vg1 > Vg2) which has nothing to do with it? I am sorry, but this is a suggested irrelevant conclusion using an association fallacy.
The quote I used is from the same page in the same paper you quoted. Since these statements from Shawyer are only a few paragraphs apart, I think that's relevant.
If I wasn't clear enough from the beginning, let't write it extensively: I am not trying in the last couple of messages to prove the origin or even the reality of any anomalous thrust in relation with possible Doppler shifts. I just ask if we can discuss properly about these Doppler shifts, their origin and their behavior, in various cavity shapes accelerating (or not) by an arbitrary external force. Not any possible or impossible "thrust" as this is another story. That's all.Maybe you didn't see my last post before you posted, but my response convers these things, using an external force to provide the acceleration to avoid confusion with any anomalous force.
Here is a back of the envelope calculation of how much Doppler shift to expect:
Round trip length = 1 m (longer than 2*cavity to account for not moving in straight lines)
number of trips = 10^6
speed of light = 3e8 m/s
total time = 0.0033 s
acceleration = 1m/s^2 (way more than typical)
velocity change of cavity in photon lifetime = 0.0033 m/s
ratio of this velocity to speed of light = 1.11e-11.
That last ratio tells you the frequency shift to expect as a fraction of the original frequency as a sum of all individual Doppler shifts. You can pick different numbers, or do a more detailed calculation, but the effect will remain negligible in realistic cases.
It took me a while to get the ~20mm spacer fabricated as I have been away on vacation. This spacer is used to reduce the resonant frequency of the cavity Oyzw sent me, from 2.5Ghz to 2.4Ghz (for mode TE013). The spacer will be compressed one or two mm while aligning the big end parallel with the small end using three bolts. I also polished the end plates as they arrived a little rough around the edges.
Next step is to go back to the simulation and figure out the best place to drill the two holes for the couplers...
Did you ever publish test results from your 3D printed frustum? Forgive me if you did and I missed it.