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#560 by Ricvil on 02 Oct, 2018 17:54
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Ok fellows,
A fast dark bessel "X" mode is "ugly", right?
Then lets change of concepts.
What we are seeing at Lorentizian shaped cavity?
At small end, seeing from the center, we have a mode with two lobes.
At big end, seeing from the center, we have a mode with four lobes.
So, there is a change of order mode along the symmetry axis of cavity.
If there is a change of the order mode, so there is a change of propagation constant, and optical momentum, along the cavity axis of symmetry.
So, if we have all photons with same energy, and we have a asymmetrical density of modes with different orders, then we have a asymmetrical distribuition of moment along the axis of symmetry of cavity, and we have a net force along this axis when all the photons are reflected on the cavity surface.
Higher order modes have smaller moment along axis, so if have the high order modes at big end, then the net force will be directed to the small end.
This is equivalent to a "spin-orbit coupling".
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#561 by meberbs on 02 Oct, 2018 19:11
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So, if we have all photons with same energy, and we have a asymmetrical density of modes with different orders, then we have a asymmetrical distribuition of moment along the axis of symmetry of cavity, and we have a net force along this axis when all the photons are reflected on the cavity surface.
This is just the original logic that Shawyer used, and is wrong for the same reason. Any changes in the patterns along the axis of the cavity are due to the changing size/shape of the sidewalls. The interactions with the sidewalls therefore account for any differences between the forces on the ends, and the total result adds up to zero.
Conservation of momentum is inherent in (relativistic) classical electromagnetism, so any potential explanation needs to start with something different than classical electromagnetism. (With the catch-22 that it still needs to somehow be able to explain all of the existing features of electromagnetism.) -
#562 by Ricvil on 02 Oct, 2018 19:23
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I don't wrote "forces at the ends", I've wrote a net force considering all cavity surface.So, if we have all photons with same energy, and we have a asymmetrical density of modes with different orders, then we have a asymmetrical distribuition of moment along the axis of symmetry of cavity, and we have a net force along this axis when all the photons are reflected on the cavity surface.
This is just the original logic that Shawyer used, and is wrong for the same reason. Any changes in the patterns along the axis of the cavity are due to the changing size/shape of the sidewalls. The interactions with the sidewalls therefore account for any differences between the forces on the ends, and the total result adds up to zero.
Conservation of momentum is inherent in (relativistic) classical electromagnetism, so any potential explanation needs to start with something different than classical electromagnetism. (With the catch-22 that it still needs to somehow be able to explain all of the existing features of electromagnetism.)
The asymmetry will ocurrs along the cavity's axis of symmetry, so any reflection must be considered, at any point off all surface.
In Shawyer case there is no change of mode order along the axis of symmetry. -
#563 by X_RaY on 02 Oct, 2018 19:34
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There is only one mode shape within the cavity! It doesn't matter at all if the shape is conical or trombone like.
I don't wrote "forces at the ends", I've wrote a net force considering all cavity surface.So, if we have all photons with same energy, and we have a asymmetrical density of modes with different orders, then we have a asymmetrical distribuition of moment along the axis of symmetry of cavity, and we have a net force along this axis when all the photons are reflected on the cavity surface.
This is just the original logic that Shawyer used, and is wrong for the same reason. Any changes in the patterns along the axis of the cavity are due to the changing size/shape of the sidewalls. The interactions with the sidewalls therefore account for any differences between the forces on the ends, and the total result adds up to zero.
Conservation of momentum is inherent in (relativistic) classical electromagnetism, so any potential explanation needs to start with something different than classical electromagnetism. (With the catch-22 that it still needs to somehow be able to explain all of the existing features of electromagnetism.)
The asymmetry will ocurrs along the cavity's axis of symmetry, so any reflection must be considered, at any point off all surface.
In Shawyer case there is no change of mode order along the axis of symmetry.
Regarding the forces due to pure electromagnetism please check:
http://www.gregegan.net/SCIENCE/Cavity/Cavity.html -
#564 by Ricvil on 02 Oct, 2018 19:37
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Where is the change of mode order along the axis of symmetry in this reference?
http://www.gregegan.net/SCIENCE/Cavity/Cavity.html
I don't wrote "forces at the ends", I've wrote a net force considering all cavity surface.So, if we have all photons with same energy, and we have a asymmetrical density of modes with different orders, then we have a asymmetrical distribuition of moment along the axis of symmetry of cavity, and we have a net force along this axis when all the photons are reflected on the cavity surface.
This is just the original logic that Shawyer used, and is wrong for the same reason. Any changes in the patterns along the axis of the cavity are due to the changing size/shape of the sidewalls. The interactions with the sidewalls therefore account for any differences between the forces on the ends, and the total result adds up to zero.
Conservation of momentum is inherent in (relativistic) classical electromagnetism, so any potential explanation needs to start with something different than classical electromagnetism. (With the catch-22 that it still needs to somehow be able to explain all of the existing features of electromagnetism.)
The asymmetry will ocurrs along the cavity's axis of symmetry, so any reflection must be considered, at any point off all surface.
In Shawyer case there is no change of mode order along the axis of symmetry. -
#565 by Ricvil on 02 Oct, 2018 19:51
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There is only one mode shape within the cavity! It doesn't matter at all if the shape is conical or trombone like.
I don't wrote "forces at the ends", I've wrote a net force considering all cavity surface.So, if we have all photons with same energy, and we have a asymmetrical density of modes with different orders, then we have a asymmetrical distribuition of moment along the axis of symmetry of cavity, and we have a net force along this axis when all the photons are reflected on the cavity surface.
This is just the original logic that Shawyer used, and is wrong for the same reason. Any changes in the patterns along the axis of the cavity are due to the changing size/shape of the sidewalls. The interactions with the sidewalls therefore account for any differences between the forces on the ends, and the total result adds up to zero.
Conservation of momentum is inherent in (relativistic) classical electromagnetism, so any potential explanation needs to start with something different than classical electromagnetism. (With the catch-22 that it still needs to somehow be able to explain all of the existing features of electromagnetism.)
The asymmetry will ocurrs along the cavity's axis of symmetry, so any reflection must be considered, at any point off all surface.
In Shawyer case there is no change of mode order along the axis of symmetry.
Regarding the forces due to electromagnetism please check:
http://www.gregegan.net/SCIENCE/Cavity/Cavity.html
This affirmation:
"There is only one mode shape within the cavity!"
To Shawyer's and Greg's cavity- True
To Lorentizian shaped cavity - False
Just see the nodes of field, under spherical or cylindrical coordinates.
There is a clear change of mode order along the axis of symmetry in Lorentizian shaped cavity. -
#566 by meberbs on 02 Oct, 2018 20:13
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I don't wrote "forces at the ends", I've wrote a net force considering all cavity surface.
Specifically you wrote "change of propagation constant, and optical momentum, along the cavity axis of symmetry." This implies that the change in momentum is not being balanced by the forces on the walls, but since it is balanced according to the very theory that predicts the mode shapes.In Shawyer case there is no change of mode order along the axis of symmetry.
This is getting into what I wrote in my last response to OnlyMe. There are an infinite number of variations you can propose, but you need to provide a good reason that your proposal is new and worth investigating. Experimental data is now very weak as a reason for any emDrive related concept. Your current theoretical proposal is little more than a handwaving "but this mode shape looks a little qualitatively different." This does nothing to change the fact that conservation of momentum is inherent.
And no, really, there is just one shape in the cavity as long as it is driven with a single frequency at resonance. There have been some modes found that due to cavity shapes appear as a cross between what is called TE or TM in constant area applications. These are still single modes, despite the variations in shape across space. -
#567 by Ricvil on 02 Oct, 2018 21:10
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The momentum needs be conserved, and I'm just count with it.I don't wrote "forces at the ends", I've wrote a net force considering all cavity surface.
Specifically you wrote "change of propagation constant, and optical momentum, along the cavity axis of symmetry." This implies that the change in momentum is not being balanced by the forces on the walls, but since it is balanced according to the very theory that predicts the mode shapes.In Shawyer case there is no change of mode order along the axis of symmetry.
This is getting into what I wrote in my last response to OnlyMe. There are an infinite number of variations you can propose, but you need to provide a good reason that your proposal is new and worth investigating. Experimental data is now very weak as a reason for any emDrive related concept. Your current theoretical proposal is little more than a handwaving "but this mode shape looks a little qualitatively different." This does nothing to change the fact that conservation of momentum is inherent.
And no, really, there is just one shape in the cavity as long as it is driven with a single frequency at resonance. There have been some modes found that due to cavity shapes appear as a cross between what is called TE or TM in constant area applications. These are still single modes, despite the variations in shape across space.
In the mode coupling theory, which rules modes transformations (mode mixing), in general it is applied in adiabatic conditions with non degenerated modes.
The case is, all reported resonances with thrust just occured at fano resonance conditions, when adiabatic conditions are not satisfied.
That is a very important point.
When we have modes almost degenerated, we need use a non-adiabatic mode couple theory, where the structure of berry phases comes on.
IMHO we are seeing the effect of berry phases generated by the topological ( surface boundary conditions) mediated interaction between TE bright modes and it's dual degenerated TM dark mode at neighborhood of an exceptional point where the the group velocity of modes becomes zero, but not it's second derivative.
It is not trivial.
I'm just trying describe all this complex interaction using macro concepts and avoid a cumbersome of multidimensional differential matrix equations of berry phase description.
PS: Fano resonances requires TWO resonances under interaction, or in other words, at least TWO modes in interaction.
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#568 by meberbs on 02 Oct, 2018 23:28
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The momentum needs be conserved, and I'm just count with it.
If the momentum is conserved, either the device doesn't work, or something is carrying the momentum away. None of your posts are describing anything carrying the momentum away so that leaves "doesn't work."
The rest of your post discusses a lot of advanced terms, none of which change the facts involved.
Also, you claim that all "with thrust" tests have involved a specific type of resonance, but there is no way you actually have the data to back that up, given things like the lack of good data from Shawyer. Since most (if not all depending on your perspective) of the tests ever done have since been shown by better test equipment to have thrust due to various thermal, magnetic or other errors, it is unclear which tests you are picking as "with thrust" to make your claims. -
#569 by Ricvil on 03 Oct, 2018 00:24
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Your argument is weak!The momentum needs be conserved, and I'm just count with it.
If the momentum is conserved, either the device doesn't work, or something is carrying the momentum away. None of your posts are describing anything carrying the momentum away so that leaves "doesn't work."
The rest of your post discusses a lot of advanced terms, none of which change the facts involved.
Also, you claim that all "with thrust" tests have involved a specific type of resonance, but there is no way you actually have the data to back that up, given things like the lack of good data from Shawyer. Since most (if not all depending on your perspective) of the tests ever done have since been shown by better test equipment to have thrust due to various thermal, magnetic or other errors, it is unclear which tests you are picking as "with thrust" to make your claims.
Any system under action of a net force, or will accelerate (if it is free to do it) , or will deformate (under influence of an obstacle) until reach a equilibrium state, and in both conditions the momentum is conserved.
What is so dramatic when the plane of oscilation of a pendulum is rotating under a influence of a berry phase? Nothing.
It is just a pole in momentum space inducing an "anomalous velocity".
You can stop it? Yes.
A berry phase in the group velocity of electromagnetic modes inside a cavity will probally cause a net move of conduction electrons of cavity, and the cavity will just move to restore the eletrostatic equilibrium. To do it we need not just a pole, but something like a ring in momentum space.
I accept change "with thrust" to "initially reported with thrust",
The existence of almost degenerated modes at some frequencys, and the signatures of Fano resonances in S21 response curve, are clear in Eaglework's reports (attached in my last post), and there are many posts in this forum with similar informations (but not explicited). -
#570 by spupeng7 on 03 Oct, 2018 04:35
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(...)
meberbs,Personal attacks such as accusations of poor intent should be taken to the moderator.
This sentence is a perfect example of itself, and on its own is grounds for deletion of the whole post. (I would report to moderator, but don't like making the mods read this thread)
Also,I cannot fathom their logic one bit. At risk of sounding rude, it matters not how many tripple spin mathematical backflips we do,
Saying that you don't understand something and then therefore concluding that it doesn't answer your questions is more than a bit inappropriate. You can ask for clarification, but outright dismissal for your own lack of understanding is inappropriate.
yes, I agree that we should not subject anyone to discussion in this style. There is, however, a big difference between not understanding an argument and disagreeing with its logic. You have not answered my question as to how matter is supposed to interact with empty space, maybe I have not framed it adequately. -
#571 by meberbs on 03 Oct, 2018 06:21
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Your argument is weak!
That statement, especially with the exclamation mark, is something that you shouldn't feel the need to make if you have logic on your side.Any system under action of a net force, or will accelerate (if it is free to do it) ,
This is covered by the "something carrying the momentum away" portion of my statement. By the law of equal and opposite forces, the thing that is applying the force will accelerate in the opposite direction with the same magnitude of change in momentum.or will deformate (under influence of an obstacle) until reach a equilibrium state, and in both conditions the momentum is conserved.
If there is an (effectively immovable) obstacle, that obstacle is providing a force equal and opposite to the other force that is being applied, and therefore the net force on the object is actually zero.
I am skipping the part of your post about "berry phase" because it is irrelevant to my point.I accept change "with thrust" to "initially reported with thrust",
And most (or all) of those initially reported with thrust have been shown to have been false reports due to other errors. I am still not sure which could be left to support your claim. You mention Eagleworks, but others have shown that their experiment was susceptible to errors, and replications that try hard enough to eliminate errors all seemed able to constrain thrust to under the noise floor.
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#572 by meberbs on 03 Oct, 2018 06:47
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yes, I agree that we should not subject anyone to discussion in this style. There is, however, a big difference between not understanding an argument and disagreeing with its logic. You have not answered my question as to how matter is supposed to interact with empty space, maybe I have not framed it adequately.
You literally said:papers which are forever beyond my ken.
where ken and understanding are effectively synonyms. You cannot disagree with its logic if you literally don't know what its logic is.
You cannot describe the location of 2 objects in a room relative to each other without 3 numbers, plus a fourth for time if things are moving around. It doesn't matter if there is nothing in between the objects, the fact that there is a distance between them is an obvious fact. If you find this incomprehensible, you are going to need to loosen your thinking to accept that that is how the universe works. I know of no further words that can describe it better than that, since the existence of 3 dimensional space is something people generally find intuitively obvious. (The specific manner that time interacts with spatial dimensions is a bit strange, but you have already been given resources that discuss that.) -
#573 by Ricvil on 04 Oct, 2018 15:49
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Hi lovers and denyers of emdrives.
I've found a path to describe a dissipative loss of thust effect.
I will explain.
Any possible thrust from a Emdrive cavity must begin as a result of an interaction between the electromagnetic field and conducting electrons on internal surface of cavity.
At the frequency of operation the conducting electrons envolved are localized at thin layer of skin depth.
So, any mechanism of thrust will act first on conducting electrons in skin depth trying producing a charge polarization on internal surface of cavity.
But this polarization will not survive because the electrons can find a path of discharge out of skin depth layer, producing a ohmic loss.
The walls of cavity are too thick if compared with skin depth.
How to overcome this situation?
Monomorphic and others already reported a "strange high absortion" under some configurations of resonance excitation.
Any anomalous external magnetic field was observed during tests? -
#574 by X_RaY on 04 Oct, 2018 17:27
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Hi lovers and denyers of emdrives.
Not observed but introduced: Eagle Works initially used a magnetic damper based on neodymium magnets near the cavity... They did some magnetic measurements with a probe around the frustum but this was not documented (info by Paul Mach). Kind of non reciprocal effects based on this has been discussed a while back.
I've found a path to describe a dissipative loss of thust effect.
I will explain.
Any possible thrust from a Emdrive cavity must begin as a result of an interaction between the electromagnetic field and conducting electrons on internal surface of cavity.
At the frequency of operation the conducting electrons envolved are localized at thin layer of skin depth.
So, any mechanism of thrust will act first on conducting electrons in skin depth trying producing a charge polarization on internal surface of cavity.
But this polarization will not survive because the electrons can find a path of discharge out of skin depth layer, producing a ohmic loss.
The walls of cavity are too thick if compared with skin depth.
How to overcome this situation?
Monomorphic and others already reported a "strange high absortion" under some configurations of resonance excitation.
Any anomalous external magnetic field was observed during tests?
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#575 by Notsosureofit on 04 Oct, 2018 19:01
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FYI: looking for full paper
Quantum formulation of the Einstein equivalence principle
Magdalena Zych & Časlav Brukner
Nature Physicsvolume 14, pages1027–1031 (2018) | Download Citation
Abstract
The validity of just a few physical conditions comprising the Einstein equivalence principle (EEP) suffices to ensure that gravity can be understood as spacetime geometry. The EEP is therefore subject to ongoing experimental verification, with present-day tests reaching the regime in which quantum mechanics becomes relevant. Here we show that the classical expression of the EEP does not apply in such a regime. The EEP requires equivalence between the rest mass-energy of a system, the mass-energy that constitutes its inertia, and the mass-energy that constitutes its weight. In quantum mechanics, the energy contributing to the mass is given by a Hamiltonian operator of the internal degrees of freedom. Therefore, we introduce a quantum expression of the EEP—equivalence between the rest, inertial and gravitational internal energy operators. Validity of the classical EEP does not imply the validity of its quantum formulation, which thus requires independent experimental verification. We propose new tests as well as re-analysing existing experiments, and we discuss to what extent they allow quantum aspects of the EEP to be tested. -
#576 by Ricvil on 04 Oct, 2018 19:07
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Thank's X_RaY.Hi lovers and denyers of emdrives.
Not observed but introduced: Eagle Works initially used a magnetic damper based on neodymium magnets near the cavity... They did some magnetic measurements with a probe around the frustum but this was not documented (info by Paul Mach). Kind of non reciprocal effects based on this has been discussed a while back.
I've found a path to describe a dissipative loss of thust effect.
I will explain.
Any possible thrust from a Emdrive cavity must begin as a result of an interaction between the electromagnetic field and conducting electrons on internal surface of cavity.
At the frequency of operation the conducting electrons envolved are localized at thin layer of skin depth.
So, any mechanism of thrust will act first on conducting electrons in skin depth trying producing a charge polarization on internal surface of cavity.
But this polarization will not survive because the electrons can find a path of discharge out of skin depth layer, producing a ohmic loss.
The walls of cavity are too thick if compared with skin depth.
How to overcome this situation?
Monomorphic and others already reported a "strange high absortion" under some configurations of resonance excitation.
Any anomalous external magnetic field was observed during tests?
I think if Eagle Works was expecting by simulations, or had observed, an external magnetic field.
This simulations in yours last post, appears indicating a try to find an excitation of cavity by inverse path.
They had simulated the response of a cavity with 0.035 thick walls under a dipole excitation of 1 Hertz.
I think they try to test reciprocity theorem with negative results.
PS: Sorry, I've not paid enough attention to the word "introduced" when I'm wrote the original post. -
#577 by X_RaY on 04 Oct, 2018 19:17
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No, this simulations were done by myself for J.P. Montillet* (with some help from Paul Mach who delivered the approximated position and magnetic field strength). We did not come to a final conclusion up to date.
Thank's X_RaY.Hi lovers and denyers of emdrives.
Not observed but introduced: Eagle Works initially used a magnetic damper based on neodymium magnets near the cavity... They did some magnetic measurements with a probe around the frustum but this was not documented (info by Paul Mach). Kind of non reciprocal effects based on this has been discussed a while back.
I've found a path to describe a dissipative loss of thust effect.
I will explain.
Any possible thrust from a Emdrive cavity must begin as a result of an interaction between the electromagnetic field and conducting electrons on internal surface of cavity.
At the frequency of operation the conducting electrons envolved are localized at thin layer of skin depth.
So, any mechanism of thrust will act first on conducting electrons in skin depth trying producing a charge polarization on internal surface of cavity.
But this polarization will not survive because the electrons can find a path of discharge out of skin depth layer, producing a ohmic loss.
The walls of cavity are too thick if compared with skin depth.
How to overcome this situation?
Monomorphic and others already reported a "strange high absortion" under some configurations of resonance excitation.
Any anomalous external magnetic field was observed during tests?
I think if Eagle Works was expecting by simulations, or had observed an external magnetic field.
This simulations in yours last post, appears indicating a try to find an excitation of cavity by inverse path.
They had simulated the response of a cavity with 0.035 thick walls under a dipole excitation of 1 Hertz.
I think they try to test reciprocity theorem with negative results.
The 1 Hz simulation was performed to imitate a static field from an permanent magnet (using only a single phase angle from the simulation, not the full cycle of 360 deg at 1 Hz). This static field should be combined with a ~1 GHz TM010 resonance within the cavity. Of course, to search for non reciprocal effects, maybe acting on the cavity.
The point is that there are data calculated on the same grid for ~1 GHz and for the quasi-static 1 Hz situation. But the combination is still pending.
*He has derived another interesting concept of thrust generation called "relativistic capacitor". -
#578 by Ricvil on 04 Oct, 2018 20:28
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I undertand X_Ray.
No, this simulations were done by myself for J.P. Montillet (with some help from Paul Mach who delivered the approximated position and magnetic field strength). We did not come to a final conclusion up to date.
Thank's X_RaY.Hi lovers and denyers of emdrives.
Not observed but introduced: Eagle Works initially used a magnetic damper based on neodymium magnets near the cavity... They did some magnetic measurements with a probe around the frustum but this was not documented (info by Paul Mach). Kind of non reciprocal effects based on this has been discussed a while back.
I've found a path to describe a dissipative loss of thust effect.
I will explain.
Any possible thrust from a Emdrive cavity must begin as a result of an interaction between the electromagnetic field and conducting electrons on internal surface of cavity.
At the frequency of operation the conducting electrons envolved are localized at thin layer of skin depth.
So, any mechanism of thrust will act first on conducting electrons in skin depth trying producing a charge polarization on internal surface of cavity.
But this polarization will not survive because the electrons can find a path of discharge out of skin depth layer, producing a ohmic loss.
The walls of cavity are too thick if compared with skin depth.
How to overcome this situation?
Monomorphic and others already reported a "strange high absortion" under some configurations of resonance excitation.
Any anomalous external magnetic field was observed during tests?
I think if Eagle Works was expecting by simulations, or had observed an external magnetic field.
This simulations in yours last post, appears indicating a try to find an excitation of cavity by inverse path.
They had simulated the response of a cavity with 0.035 thick walls under a dipole excitation of 1 Hertz.
I think they try to test reciprocity theorem with negative results.
The 1 Hz simulation was performed to imitate a static field from an permanent magnet (using only a single phase angle from the simulation, not the full cycle of 360 deg at 1 Hz). This static field should be combined with a ~1 GHz TM010 resonance within the cavity. Of course, to search for non reciprocal effects, maybe acting on the cavity.
The point is that there are data calculated on the same grid for ~1 GHz and for the quasi-static 1 Hz simulation. But the combination is still pending.
Does your research related with these interesting survivor ExH "90 degrees dephased" poynting vector amplitude averaged under a time cycle?
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#579 by X_RaY on 04 Oct, 2018 20:45
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The simulation you quote is a result of energy flow from the antenna placed within a region with a diameter smaller than the cut-off diameter as calculated for a cylindrical waveguide, into a region bigger than that. This would lead to a "thrust" equal of even smaller than for a photon rocket.
I undertand X_Ray.
No, this simulations were done by myself for J.P. Montillet (with some help from Paul Mach who delivered the approximated position and magnetic field strength). We did not come to a final conclusion up to date.
Thank's X_RaY.Hi lovers and denyers of emdrives.
Not observed but introduced: Eagle Works initially used a magnetic damper based on neodymium magnets near the cavity... They did some magnetic measurements with a probe around the frustum but this was not documented (info by Paul Mach). Kind of non reciprocal effects based on this has been discussed a while back.
I've found a path to describe a dissipative loss of thust effect.
I will explain.
Any possible thrust from a Emdrive cavity must begin as a result of an interaction between the electromagnetic field and conducting electrons on internal surface of cavity.
At the frequency of operation the conducting electrons envolved are localized at thin layer of skin depth.
So, any mechanism of thrust will act first on conducting electrons in skin depth trying producing a charge polarization on internal surface of cavity.
But this polarization will not survive because the electrons can find a path of discharge out of skin depth layer, producing a ohmic loss.
The walls of cavity are too thick if compared with skin depth.
How to overcome this situation?
Monomorphic and others already reported a "strange high absortion" under some configurations of resonance excitation.
Any anomalous external magnetic field was observed during tests?
I think if Eagle Works was expecting by simulations, or had observed an external magnetic field.
This simulations in yours last post, appears indicating a try to find an excitation of cavity by inverse path.
They had simulated the response of a cavity with 0.035 thick walls under a dipole excitation of 1 Hertz.
I think they try to test reciprocity theorem with negative results.
The 1 Hz simulation was performed to imitate a static field from an permanent magnet (using only a single phase angle from the simulation, not the full cycle of 360 deg at 1 Hz). This static field should be combined with a ~1 GHz TM010 resonance within the cavity. Of course, to search for non reciprocal effects, maybe acting on the cavity.
The point is that there are data calculated on the same grid for ~1 GHz and for the quasi-static 1 Hz simulation. But the combination is still pending.
Does your research related with these interesting survivor ExH "90 degrees dephased" poynting vector amplitude averaged under a time cycle?
