emdrive fan here.
Here's my latest attempt to make sense of emdrive : Consider reflection vs absorption. If a plate reflects a photon, its will take twice as much force from the photon than if it absorbed the photon. Like if a person catches a ball, it takes twice as much force to reflect the ball back at the same speed than to catch it and stop it.
The EMDrive's 2 end plates may be reflecting and absorbing photons at different rates to each other, hence they will have different radiations pressure and different forces. In other words, one plate reflects photons more, while the other absorbs them more. Hence net force, hence thrust.
This suggests that the different sizes of endplates is not necessary. An alternative is a straight cavity, with different end plate materials than absorb and reflect at different rates to each other.
thanks for any replys
That's more or less where I've been trying to go in calculating the forces within the cavity, except using atmospheric air molecules instead of photons. Air particles have the major advantage of being far more massive than photons hence differences in directional acceleration/rebound would be far more pronounced.
But unfortunately irregardless of what happens within the cavity, the COM issue still exists. For that idea to work the air particles or photons would need to be only an intermediary for some other mechanism which allows/causes something massive to escape.
The location of the stored "potential" energy and the location where that energy is more readily dissipated forms a gradient inside the frustum. As long as the internal potential energy moves along this gradient to be dissipated, the frustum will move the other way. COM is not violated, regardless of the fact that nothing but heat is escaping. The heat is not a propellant, the internal gradient and the amount of energy flowing with that gradient is.
The location of the stored "potential" energy and the location where that energy is more readily dissipated forms a gradient inside the frustum.
Quote from: WarpTechThe location of the stored "potential" energy and the location where that energy is more readily dissipated forms a gradient inside the frustum.
In other words, since one end-plate is absorbing more while the other is reflecting more, the energy density of the cavity will be lower nearer one end : the absorbing end. Because an absorbing wall represents an energy sink.
Correct?
Any emdrive experimenters out there want to try building a straight sided cavity with different material endplates?
Am I right in thinking that emdrive experimenters have already noted a change in thrust by varying the end plate materials?
Quote from: WarpTechThe location of the stored "potential" energy and the location where that energy is more readily dissipated forms a gradient inside the frustum.
In other words, since one end-plate is absorbing more while the other is reflecting more, the energy density of the cavity will be lower nearer one end : the absorbing end. Because an absorbing wall represents an energy sink.
Correct?
...




Seems almost too simple, I like it. I was awake last night and couldn't stop thinking a demonstration is all around us all the time. Much like gravity was exploited by mankind long before Newtons explanation. Still I would expect cylindrical cavities with varying endplates have been studied extensively.
A poor example off the top of my head, a common laser has partially silvered mirror at one end. Optical wavelengths reflected power are controlled with a "Brewster angle" at the junction between glass and air. Been far too long since I studied optics, have to add more to the reading list.
Quote from: WarpTechThe location of the stored "potential" energy and the location where that energy is more readily dissipated forms a gradient inside the frustum.
In other words, since one end-plate is absorbing more while the other is reflecting more, the energy density of the cavity will be lower nearer one end : the absorbing end. Because an absorbing wall represents an energy sink.
Correct?
...
No, the location of the peak energy density is not due to any "absorption". See the excellent discussion by Greg Egan
http://gregegan.customer.netspace.net.au/SCIENCE/Cavity/Cavity.html
for an exact solution. The location of the peak in energy density is due to the mode shape, and the mode shapes are a result of the eigenvalue problem which is dictated by the equations of motion and the boundary conditions, and not by dissipation.
Here you have the first 3 TE mode shapes in an electromagnetically resonant truncated cone cavity.
There is no change whatsoever in absorption at each end for these modes. The modes are a result of the eigenvalue problem. That's why they are called eigenmodes !
TE011
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
TE012![]()
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
TE013
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
You have mode shapes in any vibration problem, in a string for example, or in a horn instrument.
The eigenmodes are not due to dissipation at one end, or with dissipation at a node.
You have mode shapes even with zero damping !
...Thanks Jose, but I do not think he or I meant to imply that the mode shapes were due to absorption. Only that the energy lost will be asymmetrical. Greg Eagan's derivation does not take into consideration sources or sinks, both of which contribute to a divergence of decay time and energy (Volt-sec), that is not present in his derivation. He assumes all waves to be time symmetric and therefore average to zero, but that is not necessarily true when there are sources and sinks. Isn't that true?
...Thanks Jose, but I do not think he or I meant to imply that the mode shapes were due to absorption. Only that the energy lost will be asymmetrical. Greg Eagan's derivation does not take into consideration sources or sinks, both of which contribute to a divergence of decay time and energy (Volt-sec), that is not present in his derivation. He assumes all waves to be time symmetric and therefore average to zero, but that is not necessarily true when there are sources and sinks. Isn't that true?Greg Egan solved the eigenvalue problem under well-stated assumptions.
Whenever Monomorphic or X_Ray have shown a FEKO solution, or Paul March or Samsonov (RFPlumber) have shown a COMSOL solution, they have solved the eigenvalue problem too, just like Egan, but done it numerically, instead of analytically.
All those solutions compare very well with experiments, concerning eigenmodes and eigenfrequencies.
The difference is that those solutions (COMSOL, FEKO, Egan) cannot calculate any thrust, since Maxwell's equations will show no thrust for a closed cavity. Even if you allow for dissipation of heat and release of heat into space as heat radiation one can readily show that the thrust would be less than that of a perfectly collimated photon rocket, and hence much less than what is claimed for the EM Drive.
Aren't you justifying the EM Drive thrust as due to a polarized quantum vacuum theory?
(not due to heat dissipation and heat radiating into Space)?
No, the location of the peak energy density is not due to any "absorption". See the excellent discussion by Greg Egan
...
> The eigenmodes are not due to dissipation at one end, or with dissipation at a node.
By that logic eigenmodes would be unaffected even without end plates on emdrive, since 0% or 100% dissipation makes no difference, and an open ended emdrive is effectively 100% dissipation. Which is nonsense.
...
...Dr. Rodal, I have been looking at other EM software suites and noticed that Opera Simulation Software is the preferred package used by many scientists at CERN. http://operafea.com/product/
Seems almost too simple, I like it. I was awake last night and couldn't stop thinking a demonstration is all around us all the time. Much like gravity was exploited by mankind long before Newtons explanation. Still I would expect cylindrical cavities with varying endplates have been studied extensively.
A poor example off the top of my head, a common laser has partially silvered mirror at one end. Optical wavelengths reflected power are controlled with a "Brewster angle" at the junction between glass and air. Been far too long since I studied optics, have to add more to the reading list.
...
> The eigenmodes are not due to dissipation at one end, or with dissipation at a node.
By that logic eigenmodes would be unaffected even without end plates on emdrive, since 0% or 100% dissipation makes no difference, and an open ended emdrive is effectively 100% dissipation. Which is nonsense.
...The solution to the eigenvalue problem includes the boundary conditions.
What you write about <<By that logic eigenmodes would be unaffected even without end plates on emdrive>> is incorrect, because when you have no end plates, you change the boundary conditions.
Actually without end plates, you no longer have standing waves !
To understand this, look at undergraduate textbooks in Physics for discussion of the eigenvalue problem like the Feynman Lectures in Physics, and also at a book on partial differential equations, for the role of boundary conditions.
...Thanks Jose, but I do not think he or I meant to imply that the mode shapes were due to absorption. Only that the energy lost will be asymmetrical. Greg Eagan's derivation does not take into consideration sources or sinks, both of which contribute to a divergence of decay time and energy (Volt-sec), that is not present in his derivation. He assumes all waves to be time symmetric and therefore average to zero, but that is not necessarily true when there are sources and sinks. Isn't that true?Greg Egan solved the eigenvalue problem under well-stated assumptions.
Whenever Monomorphic or X_Ray have shown a FEKO solution, or Paul March or Samsonov (RFPlumber) have shown a COMSOL solution, they have solved the eigenvalue problem too, just like Egan, but done it numerically, instead of analytically.
All those solutions compare very well with experiments, concerning eigenmodes and eigenfrequencies.
The difference is that those solutions (COMSOL, FEKO, Egan) cannot calculate any thrust, since Maxwell's equations will show no thrust for a closed cavity, acting as a closed system. Even if you allow for dissipation of heat and release of heat into space as heat radiation one can readily show that the thrust would be less than that of a perfectly collimated photon rocket, and hence much less than what is claimed for the EM Drive.
Aren't you justifying the EM Drive thrust as due to a polarized quantum vacuum theory?
(not due to heat dissipation and heat radiating into Space)?
...
> The eigenmodes are not due to dissipation at one end, or with dissipation at a node.
By that logic eigenmodes would be unaffected even without end plates on emdrive, since 0% or 100% dissipation makes no difference, and an open ended emdrive is effectively 100% dissipation. Which is nonsense.
...The solution to the eigenvalue problem includes the boundary conditions.
What you write about <<By that logic eigenmodes would be unaffected even without end plates on emdrive>> is incorrect, because when you have no end plates, you change the boundary conditions.
Actually without end plates, you no longer have standing waves !
To understand this, look at undergraduate textbooks in Physics for discussion of the eigenvalue problem like the Feynman Lectures in Physics, and also at a book on partial differential equations, for the role of boundary conditions.
Correct, and further, there would also be no standing waves if the boundary condition was 100% dissipation \ absorption of incident light energy. Therefore your assertion that absorption is not a factor in the energy distribution is wrong.
...In other words, since one end-plate is absorbing more while the other is reflecting more, the energy density of the cavity will be lower nearer one end : the absorbing end. Because an absorbing wall represents an energy sink.
Correct?
...
Ok Rodal, whatever you say.
So, am I right in thinking you don't think emdrive can work?
Seems almost too simple, I like it. I was awake last night and couldn't stop thinking a demonstration is all around us all the time. Much like gravity was exploited by mankind long before Newtons explanation. Still I would expect cylindrical cavities with varying endplates have been studied extensively.
A poor example off the top of my head, a common laser has partially silvered mirror at one end. Optical wavelengths reflected power are controlled with a "Brewster angle" at the junction between glass and air. Been far too long since I studied optics, have to add more to the reading list.
The problem with a laser is the wave velocity is too fast. ~c, so T ~ P/c. With the frustum, T ~ P/v, where;
1/v ~ -(1/w)*d[ln(Q)]/dr
Where w is 2pi*f. We can replace Q by tau for decay time, or replace Q by Reactive power stored over Real power lost per cycle, as a function of r from the apex of the cone. We could cut the frustum simulations from front to back into circular cross sections and look at how much energy is stored and how much energy is lost in each cross section to calculate the derivative of Q. We can also approximate this as;
1/v ~ -(1/w*L)*ln(Qb/Qs)
Where L is the length, and the Q's are at the big and small end, respectively.
In any case, this is the equation we need to maximize by design. The larger this value is, the more thrust we will get.
Todd