Hey so I've been leisurely skimming these threads for quite some time and I want to know if I understand this EM drive correctly. The microwaves bounce of the walls and then bounce off a quantum particle and back to the wall, imparting momentum. Please see attached diagram. Is this correct?
Nobody has a generally accepted theory of how an EmDrive actually would work at the physical level. However, one thing I think I can say that most if not all will agree on, is that the wave interaction would look nothing like that - it is WAY WAY more complex. The systems are sized to produce standing waves at resonant frequencies within the cavity. The TE013 mode which is the predominant system people are trying essentially produces 3 stacked toroidal standing waves. But how those waves move within the cavity, and how they interact with the cavity walls and/or the outside world is the subject of several years debate on this forum!
Doesn't the standing wave consist of two waves propagating in opposite directions? The standing wave occurs at the stationary point of constructive interference of the two waves. If this is the case then the illustration shows one of the two waves. The other wave is in the opposite direction but are they necessarily equal? No, there are always losses on the bounce defined in a roundabout way by the quality factor. One of the waves has always bounced more than the other except when the antenna is exactly centered on the node of the standing wave. But of course, it can't be centered on all three nodes. That brings us right back to the differential internal radiation pressure within the frustum. Quantum particles were introduced because the differential radiation pressure argument was dismissed. Quantum particles are judged to have more mass and lower velocity than light waves, hence more thrust for the same energy. But it is not at all clear that the radiation pressure of the light wave is the mechanism coupling the microwave to the quantum particles. If that is so, then the fact that the quantum particles do not reflect from the copper walls gives the resulting momentum reaction to the frustum, thrust in other words. If radiation pressure is not the coupling mechanism then there is yet another mystery, what is the coupling mechanism? Well, this whole EM Drive is a mystery so what's one more mystery added to the soup?
The radiation pressure argument/model, whether addressed as bouncing photons or electromagnetic waves, has been addressed repeatedly in the past. In each case the net force should wind up zero... no net asymmetric force or acceleration. Even while there are continuing attempts to revive the basic idea, probably because it would seem “a simple” way to reconcile the conservation of momentum/energy issue... Still it seems a beaten into the ground approach...
That said, should anyone conclusively demonstrate any anomalous force/acceleration associated with the operation of an EmDrive, the anomalous force/acceleration must.., would seem to be derived from an interaction between the frustum itself and the asymmetry of the “standing waves” introduced/generated within the frustum, which would mean that any acceleration would be relative to the frame of reference of the asymmetric electromagnetic magnetic field(s) within the frustum. If this turns out to be the case it would require a reevaluation of just how we interpret some conservation laws. Conservation of momentum becoming less important than conservation of energy... and it would seem unlikely that one could expect an unlimited constant force/acceleration from a constant and unvarying energy input.
Just how any interaction between the frustum and the contained asymmetric electromagnetic field(s) within might generate an anomalous force/acceleration remains an unknown. However, it seems far easier to imagine that some interaction between the asymmetric distribution of the toroidal electromagnetic fields within the frustum and the induced electric currents and corresponding electromagnetic fields in the frustum walls, might generate some small asymmetric anomalous force, even acceleration of the frustum... If an interaction along this line were found to be the source of thrust/acceleration, is would be directly proportional to the intensity of the asymmetric electromagnetic filed(s) and corresponding/resulting electric and magnetic properties induced in the frustum walls... and ultimately the total power/magnitude of the electromagnetic energy introduced into the frustum.
... The quantum vacuum involvement even a further stretch since the vacuum itself remains highly theoretical at present and any supporting experimental evidence requires far high energies than involved in any published EmDrive experiments.
The quantum vacuum involvement even a further stretch since the vacuum itself remains highly theoretical at present and any supporting experimental evidence requires far high energies than involved in any published EmDrive experiments.Your points about side wall interaction and the layering of the field are correct and your post is very useful but the energy density argument is WRONG. I have repeatedly proven in prior posts that the peak field density along the central modal points is above vacuum permittivity!!!! I will share my old posts again to clarify this point.
My old post #1 regarding repeated CoM bias:
would you agree that stimulated emissions from a laser or spaser exceed the activation energy? Would you agree that the hamiltonian for a system is unrelated to the specific charge imbalance/stress tensors or rather the magnetic dipoles which occur in a metal can cause the electrons to break the non-crossing condition if the refractive index is different (among other reasons such as the entire Octupole/Quadrupole discussion)? Do you recognize that anisotropic effects throughout a cold plasma and or resonant phonons can transmit force without equivalent input energy? Then you will see that OU is nonsense in the context of intra-cavity reactions. CoE and CoM is a dead end I have said it before and I will say it again.
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07/02/2017
Hyperplanck's posts about phonons fit perfectly into this.
@Monomorphic, yes I was referring to some spherical/parabolic end simulations. Since proposing the hypothesis here - credit to Flux_Capacitor for being the first to notice that the field strength was high enough for dielectric breakdown and for proposing the white noise injection via klystron in thread 8, as we now recently discovered that the system will store a wide bandwidth.
2.4x10^7kV/m was quoted in my previous posts, so I assumed this was a modal peak value from one of the simulations. I did some extensive digging through the past two threads and found some examples of both realistic and futuristic peak values which I included below. As expected, parabolic mirrors or spherical ends work best at creating a focal point for maximum density, though the modal shape is usually something symmetric along the wrong axis* or a TM sidewall pressure (versus endcap pressure) which decreases thrust because the resonant wave's information caught in the plasma/ions/wavelets/phonons/electron soup (take your pick) has a more similar time-to-wall. There is a lesser pressure gradient in a desirable direction if your field is symmetric across the perpendicular of your acceleration vector or if it is symmetric and each peak is equally strong. Most simulated peak fields are around 700kV/m, which is not close enough to the 3000kV/m (or ~3300kV/m) to appear to matter. There is natural ambient ionization in the air which is increased once you begin injecting large amounts of energy into the cavity*** even if the ionization cycle does not begin for hot plasma, like you would see in a tokomak**. The behaviour of the plasma depends on the voltage, the geometry, the wave shape, the waveguide and most crucially the eigenmodes.
Max E-Fields Old Simulations
Spherical endplate TE012 - 36MV/m -
https://forum.nasaspaceflight.com/index.php?topic=40959.msg1610054#msg1610054 TT - 7.5MV/m -
https://forum.nasaspaceflight.com/index.php?topic=41732.msg1616337#msg1616337Cannae - 25.6MV/m -
https://forum.nasaspaceflight.com/index.php?topic=40959.msg1612540#msg1612540Sphere - 6.5MV/m -
https://forum.nasaspaceflight.com/index.php?topic=40959.msg1611016#msg1611016Tapered prism (Similar to Yang) - 3.017MV/m
https://forum.nasaspaceflight.com/index.php?topic=40959.msg1610152#msg1610152Spherical endplate TE013 - ~27MV/m -
https://forum.nasaspaceflight.com/index.php?topic=40959.msg1608904#msg1608904Helical Antenna clover leaf - very high -
https://forum.nasaspaceflight.com/index.php?topic=40959.msg1608617#msg1608617I think the old posts by Dr. Rodal regarding fluid mechanics are also interesting and worth considering though they rely on the exchange of kinetic energy of massive particles, not electron pressure between current layers(=standing waves) and therefore do not solve CoM issues as they are not directional unlike field line relaxations.
* For example: TE011 where both endcaps more or less share the same central field (or only a few 'layers of the onion' when compared to TE013 or TE019). The layers cause the lag in information through magnetic reconnection, while the location of the modal peak determines the source of the information.
**All this rephrases my previous posts a bit and makes a lot more sense after you read Yamada's 2010 guide to magnetic reconnection. The theory is that the reconnection rate scales with how collisionless the plasma is as a function of the mean free path of the electron and furthermore strong guide fields slow down the reconnection rate. If you have a fairly weak system like the EM Drive then you either need: a long distance to build charge needed for realignment (like the Earth's cold magnetotail) or boundary conditions which keep the pressure locked in and the waves resonate along more or less closed paths. I cannot hope to explain the entire concept better than Yamada did so read his guide and mentally add in the recent discoveries about fast reconnection, relativistic electrons, electron behaviour in metallic lattices, plasmonics, and phonons. If we even achieve 1% ionization equilibrium (assuming only the atmosphere matters) then you will be getting thrust. If you achieve 99% ionization then you will need strong guide fields to prevent turbulence which in turn reduces reconnections. The golden zone is somewhere in the middle where the cold plasma does not pose a danger when unstable. All of this is some late night thoughts so apologies for typos...
***Among others, it is clear since the 1970s that in their excited state many of the elements in air will disassociate. If you keep injecting energy, more of the electrons will be excited on average.
https://www.nist.gov/publications/ionization-carbon-nitrogen-and-oxygen-electron-impact-0