Dr. Rodal, I'm unclear (after the prolonged discussion) as to whether or not a consensus was reached re the calculating of the "Q" for a given cavity. Should one default to the methodology employed by EWL?, and how in fact did they go about their predicting of Q, and calculating the actual Q in their experiments? I'd like to jot these down into the "agreed upon" column if possible. If no consensus, I'll default to their methodology notwithstanding, and place an "*" by it.

In this test configuration, the VNA system indicated a quality factor of ~7320...The COMSOL analysis for the first TM211 mode had a predicted quality factor of 7961 (TM212)....
The measured quality factor was ~22,000, with a COMSOL prediction of 21,817 (TE012).
and using COMSOL Finite Element analysis to calculate this formula.
and using COMSOL Finite Element analysis to calculate this formula.
So NASA calculated their Q using a COMSOL simulation? Does this mean their Q calculation is based on the perfect geometry of the frustum mesh? If so, this could mean their measured Q was much lower, as no build is anywhere near perfect. I have no doubt my Q would be in the tens of thousands if I used FEKO to do the same. Would be nice to see their measured VNA traces and do the standard 3dB measurement.
In this test configuration, the VNA system indicated a quality factor of ~7320...The COMSOL analysis for the first TM211 mode had a predicted quality factor of 7961 (TM212)....
The measured quality factor was ~22,000, with a COMSOL prediction of 21,817 (TE012).

Dr. Rodal, I'm unclear (after the prolonged discussion) as to whether or not a consensus was reached re the calculating of the "Q" for a given cavity. Should one default to the methodology employed by EWL?, and how in fact did they go about their predicting of Q, and calculating the actual Q in their experiments? I'd like to jot these down into the "agreed upon" column if possible. If no consensus, I'll default to their methodology notwithstanding, and place an "*" by it.As to how NASA predicted their quality of resonance Q, they did it by using the definition of Q:
and using COMSOL Finite Element analysis to calculate this formula. The energy stored is a function of the mode shape, which is dictated by the cavity's geometry and excitation method, while the dissipated energy is a function of the the cavity's geometry and excitation method as well as the metal's conductivity.
There are no arbitrary parameters in this definition. No "3 db", no "measure from peak to here".
Concerning reaching consensus on how to measure it experimentally, it appears that no consensus was reached.
When people have asked what is Q, the moderator answered providing a formula on how to approximately estimate Q instead of answering with the actual physical meaning of Q: which is the formula above, an inverse measure of damping of oscillations. Appealing to one of several arbitrary ways to approximately estimate the Q that ignore the mode shape and excitation methods in such a calculation, and use arbitrary numbers like "3 db", or measure this from the peak to "here", of course results in lack of consensus. There are several such approximation estimates.
Imagine if somebody would ask what is the meaning of "height of a tree": what do you think the answer should be? the answer should the length measurement from base to top of the tree, measured along the line of action of gravity. The answer should not be an approximate method on how to estimate the height of the tree. We should keep a clear mental distinction between the process of approximately estimating something and what is the definition of what one is trying to estimate. Particularly when one estimates numbers like Q=244,000 which are outside of what is expected.
One can approximately estimate the height of the tree by using the angle of elevation and the horizontal distance to the top, for example, but that should not be used as the definition of its height, as it confuses a measurement estimate with its true definition and meaning. An even worse "definition" would be comparing with a measureable object nearby the trunk, eg. a pole or a house of which you know or can measure the height and by looking from a distance how many times that objects fits the tree (that would be like using these estimates using arbitrary numbers like "3 db" that ignore the mode shape and the excitation method).
The estimate is just that, an approximate estimate, and it better make physical sense. A Q of 244,000 for the moderator's copper frustum of a cone is much larger than a) the Q that one would calculate based on a perfect geometry and perfect surface using COMSOL or an exact solution (which would give a maximum Q of less than 100,000) and b) much larger than the experimental values of Q's found in the literature for copper cavities. A Q of 244,000 is to be severely questioned: is it a result of a faulty estimation method? Is it a result of faulty approximations?
NASA's comparisons (Brady et.al.'s report) inspire much more confidence as to the agreement between estimate and COMSOL prediction:QuoteIn this test configuration, the VNA system indicated a quality factor of ~7320...The COMSOL analysis for the first TM211 mode had a predicted quality factor of 7961 (TM212)....
The measured quality factor was ~22,000, with a COMSOL prediction of 21,817 (TE012).
from:
Anomalous Thrust Production from an RF Test Device Measured on a Low-Thrust Torsion Pendulum
David A. Brady*, Harold G. White†, Paul March‡, James T. Lawrence§, and Frank J. Davies**
50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference
The moderator recently posted a FEKO calculation for the mode shape, showing the electric field for mode shape TM013. No figure was posted for the calculated quality factor from FEKO. What quality of resonance Q does FEKO predict for a perfect geometry and perfect surface, based on copper's published value of conductivity?
...
Feko seems to use the same -3dB definition, couldn't find a definitive number of Q created by the program.
That's why I used EMPro for these calculations:
http://forum.nasaspaceflight.com/index.php?topic=39214.msg1536095#msg1536095
.../...
It is trivial to show that black body radiation is a form of photon radiation that is less efficient than a perfectly collimated photon rocket (since photons participating in black body radiation are not high in the energy spectrum).
.../...
.../...
It is trivial to show that black body radiation is a form of photon radiation that is less efficient than a perfectly collimated photon rocket (since photons participating in black body radiation are not high in the energy spectrum).
.../...
Wholeheartedly agree to the rest of your post, but allow me to ask/propose a clarification specifically about the efficiency related to energy of photons : in the frame of the emitter a given photon carries away a momentum p=hυ/c for a loss of energy E=hυ. Thrust (in Newtons) is momentum impulses per second and spent power is energy packets per second, hence Thrust/Power(in N/W)=(hυ/c)/hυ=1/c
The efficiency as "figure of merit" in terms of Thrust/Power ratio doesn't depend on frequency (or proportionately to Planck constant, on energy) of single photons. What would depend (in the case of blackbody radiation) on temperature is the magnitude of radiated power for emitter of a given cross section. Thus a black-body emitter radiating in the "white hot" (say tungsten heated at 2400K) would radiate (in deep space) much more Watts (and by that have much more thrust) that the same body just in far infra red (just warm to the touch), but thrust/power is the same.
BTW the far infrared photons of a warm to the touch dissipating EM drive frustum in deep space are much higher on the energy scale than the original photons of the microwaves that dissipated by losses in the copper. The thermodynamics unenlightened in me finds that aspect fascinating...
What might limit the efficiency (in N/W) of unintentionally asymmetric waste heat radiation pressure compared to perfectly collimated photon rocket (whatever the photons, visible light ok, X ray ok, microwaves ok, same efficiency bound in principle) is the collimation : waste heat usually radiates in all directions and isn't collimated in near parallel rays.
In all circumstances thrust/power of 1/c (3.33µN/kW) is an upper bound for "self powered radiation propulsion".
.../...
It is trivial to show that black body radiation is a form of photon radiation that is less efficient than a perfectly collimated photon rocket (since photons participating in black body radiation are not high in the energy spectrum).
.../...
Wholeheartedly agree to the rest of your post, but allow me to ask/propose a clarification specifically about the efficiency related to energy of photons : in the frame of the emitter a given photon carries away a momentum p=hυ/c for a loss of energy E=hυ. Thrust (in Newtons) is momentum impulses per second and spent power is energy packets per second, hence Thrust/Power(in N/W)=(hυ/c)/hυ=1/c
The efficiency as "figure of merit" in terms of Thrust/Power ratio doesn't depend on frequency (or proportionately to Planck constant, on energy) of single photons. What would depend (in the case of blackbody radiation) on temperature is the magnitude of radiated power for emitter of a given cross section. Thus a black-body emitter radiating in the "white hot" (say tungsten heated at 2400K) would radiate (in deep space) much more Watts (and by that have much more thrust) that the same body just in far infra red (just warm to the touch), but thrust/power is the same.
BTW the far infrared photons of a warm to the touch dissipating EM drive frustum in deep space are much higher on the energy scale than the original photons of the microwaves that dissipated by losses in the copper. The thermodynamics unenlightened in me finds that aspect fascinating...
What might limit the efficiency (in N/W) of unintentionally asymmetric waste heat radiation pressure compared to perfectly collimated photon rocket (whatever the photons, visible light ok, X ray ok, microwaves ok, same efficiency bound in principle) is the collimation : waste heat usually radiates in all directions and isn't collimated in near parallel rays.
In all circumstances thrust/power of 1/c (3.33µN/kW) is an upper bound for "self powered radiation propulsion".
I've read there is a sort of privileged frame, and space, the vacuum itself is the road...
http://arxiv.org/pdf/0708.3519v4Quote"Consider that the vacuum medium is described by the vacuum states of
quantum fields and then its total momentum vanishes, it is reasonable for us to assume that
the vacuum medium as a whole is always resting with respect to all inertial observers. In
other words, the relative velocity between the vacuum medium and an arbitrary inertial
observer cannot be measured (i.e., it is an unobservable quantity), such that one can think it
always vanishes. On the other hand, consider that the velocity of light in vacuum is
invariant with respect to all inertial observers, and the eigenvalues of electron’s velocity
operator are equal to the velocity of light in vacuum, one can present the following
hypotheses: the velocity of light in vacuum ( 1 c = ) and the velocity of the vacuum medium
( ) are only two genuine velocities in our universe, they are invariant constants for all
inertial frames of reference; all other velocities are the apparent (or average) velocities of
massless fields moving in a zigzag manner. Such a zigzag motion, just as the
electromagnetic waves that are reflected back and forth by perfectly conducting walls as
they propagate along the length of a hollow waveguide, concerns two mutually orthogonal
0 u =
114D momentum components, i.e., a time-like 4D momentum (called the longitudinal
component) and a space-like 4D momentum (called the transverse component), respectively,
where the former corresponds to the usual 4D momentum of particles while the latter
contributes to the rest mass of particles."
I've got some new ideas based on my theory of a QG Drive. (QuantumGravity). Thoughts are connected on using a microwave cavity and resonant conducter...
It could be useful insert some narrow cut cone -shaped waveguides in the cavity (thin conducter material). For example four waveguides vertically centrally with length 3/5 of cavity inner height and with a TE225 mode (in waveguides TE113)... And spherical ends of course.
I've got some new ideas based on my theory of a QG Drive. (QuantumGravity). Thoughts are connected on using a microwave cavity and resonant conducter...
It could be useful insert some narrow cut cone -shaped waveguides in the cavity (thin conducter material). For example four waveguides vertically centrally with length 3/5 of cavity inner height and with a TE225 mode (in waveguides TE113)... And spherical ends of course.Interesting idea. Please note the following:
Any inner structures inside the cavity will shift the resonant natural frequency of all modes and increase losses* and therefore lowers the Q.
https://forum.nasaspaceflight.com/index.php?topic=38577.msg1455560#msg1455560
*For dielectric materials this is due to the tanδ.
*For the case of additional conductive materials in the cavity the surface to volume relation will be more worse, therefore ohmic losses will increase.
I've got some new ideas based on my theory of a QG Drive. (QuantumGravity). Thoughts are connected on using a microwave cavity and resonant conducter...
It could be useful insert some narrow cut cone -shaped waveguides in the cavity (thin conducter material). For example four waveguides vertically centrally with length 3/5 of cavity inner height and with a TE225 mode (in waveguides TE113)... And spherical ends of course.Interesting idea. Please note the following:
Any inner structures inside the cavity will shift the resonant natural frequency of all modes and increase losses* and therefore lowers the Q.
https://forum.nasaspaceflight.com/index.php?topic=38577.msg1455560#msg1455560
*For dielectric materials this is due to the tanδ.
*For the case of additional conductive materials in the cavity the surface to volume relation will be more worse, therefore ohmic losses will increase.But in my theory both the pure form of standing wave and energy contents does matter. The right form of radiation field is more important to achieve the spacetime warping effect.
Hence, if lowering Q makes it possible to get more beautiful standing wave remaining as much as possible longitudinal components of magnetic components, it's worth of implement.
Secondly, the optimal wave form reduce energy loss in respect of the power of effect...
I've read there is a sort of privileged frame, and space, the vacuum itself is the road...
http://arxiv.org/pdf/0708.3519v4Quote"Consider that the vacuum medium is described by the vacuum states of
quantum fields and then its total momentum vanishes, it is reasonable for us to assume that
the vacuum medium as a whole is always resting with respect to all inertial observers. In
other words, the relative velocity between the vacuum medium and an arbitrary inertial
observer cannot be measured (i.e., it is an unobservable quantity), such that one can think it
always vanishes. On the other hand, consider that the velocity of light in vacuum is
invariant with respect to all inertial observers, and the eigenvalues of electron’s velocity
operator are equal to the velocity of light in vacuum, one can present the following
hypotheses: the velocity of light in vacuum ( 1 c = ) and the velocity of the vacuum medium
( ) are only two genuine velocities in our universe, they are invariant constants for all
inertial frames of reference; all other velocities are the apparent (or average) velocities of
massless fields moving in a zigzag manner. Such a zigzag motion, just as the
electromagnetic waves that are reflected back and forth by perfectly conducting walls as
they propagate along the length of a hollow waveguide, concerns two mutually orthogonal
0 u =
114D momentum components, i.e., a time-like 4D momentum (called the longitudinal
component) and a space-like 4D momentum (called the transverse component), respectively,
where the former corresponds to the usual 4D momentum of particles while the latter
contributes to the rest mass of particles."
There are several ways of interacting with the vacuum that were mentionned and discussed in these threads. For example The degradable quantum vacuum, or some new forms of the old Aether theories. But they are all new physics, or at least non standard physics. The point is that, in standard GR, there is no way to push against space like against a road.
the relative velocity between the vacuum medium and an arbitrary inertial
observer cannot be measured (i.e., it is an unobservable quantity), such that one can think it
always vanishes.
So, the main point, the main problem with Shawyer, is that he claims that his explanations work with standard physics. If he thinks that there is a way to push against space, he should explicit it in his "Emdrive Basis" and he should recognize that it is non-standard physics. Something else than GR.
dustinthewind, I am confused about the concept/analogy you made re the laser photonic thruster or perhaps have missed your point entirely. As noted in the video and in the image (attached) there are two mirrors (both moving) one faster than the other: The "slower" moving (first) reflector which apparently is also producing energy for the laser appears to employ conventional propulsion (chemical) for thrust, and the "spacecraft" although moving faster acts entirely as a (second) reflector. Relative to one another the spacecraft is increasing in velocity more quickly than the "main laser/reflector chemical rocket". The spacecraft is being "pushed" by the main laser/mirror/chemical stage. Certainly this would be the red-shifting and decrease in thrust going on in this configuration/concept, yet there is no cavity. The questions of COE or COM do not arise here. Would you please explain where I'm wrong in this? I just don't see where/how this LPR can be compared with the close resonant cavity. Of course anyone please jump in to straiten me out. LOL FL