Just worked out number of coupled cycles. Posting on emdrive.works out to f*c/g where g is the accelerated frame......

Just convenient

This is fantastic !What made you think of that?Great workQuote from: NotsosureofitAn interesting expression to examine is fc/gIt represents the number of cycles for the photons in the cavity to reach velocity c if they were free to do so at the acceleration g. In that respect it represents a degree of coupling between the standing waves in the cavity and a traveling wave.

An interesting expression to examine is fc/gIt represents the number of cycles for the photons in the cavity to reach velocity c if they were free to do so at the acceleration g. In that respect it represents a degree of coupling between the standing waves in the cavity and a traveling wave.

Yes p = 1,2,3Yes, I was looking at your request for couplings.

Quote from: WarpTech on 05/31/2015 03:42 AMI should know better than to post a 1st draft of anything, but here goes nothing... What I've done is put together all of the pieces we have been working on, between Egan, Yang, De Aquino and Shawyer. What I ended up with didn't surprise me. What did is how much this "mimics" gravity in the PV Model is not even funny!Let the show begin!ToddThe show is not ready for prime-time yet, but working on it...Continuing from here: http://forum.nasaspaceflight.com/index.php?topic=37642.msg1381966#msg1381966An outstanding important question in developing this theory of EM Drive motion due to internal evanescent waves produced by geometrical attenuation (due to tapering of the walls of the truncated cone towards the small end) is whether the evanescent waves can couple to the enhanced energy density due to Q resonance standing waves. It is is very important to show this, because otherwise the EM Drive would not be able to be superior to a perfectly collimated photon rocket. The stored energy density from resonance is the key.It is important to show whether there is coupling of the evanescent waves with the standing waves. That there is coupling between travelling waves and evanescent waves is shown in the paper of Zeng and Fan where one mode after another gets attenuated as it propagates towards the small end. However that's for an open waveguide, where travelling waves and evanescent waves can be easily shown to be in phase (particularly for phase constant equal to zero). Doubts were expressed in this thread as to whether this is possible for standing waves and evanescent waves.The answer appears to be yes, at least in some qualified situations. There are a number of papers showing coupling between whispering -gallery modes and evanescent waves. It is far from clear whether whispering-gallery modes could be present in the EM Drive operation, (whispering-gallery modes would involve much higher frequencies -what is the highest frequency that a Magnetron puts out ?-). This recent reference (2013) shows whispering-gallery modes in the microwave frequency at 10 GHz: http://arxiv.org/pdf/hep-ph/0506074The fact that whispering-gallery modes can couple with evanescent waves is interesting enough.Coupling between high Q cavities (of the ring type) and evanescent waves have also been shown.Constructive interference.It looks like the analysis may require numerical analysis, as all the papers I have seen so far have used the Finite Difference method to solve the problem numerically. The problem is difficult, mathematically, but entirely within Standard Physics.It is intriguing whether some of the gradient theories (Shawyer's gradient in group velocity, McCulloch's gradient of Unruh wavelengths, Notsosureofit gradient of dispersion, and this one geometrical attenuation gradient with coupling of standing and evanescent waves, are related somehow, rather than just superficially).

I should know better than to post a 1st draft of anything, but here goes nothing... What I've done is put together all of the pieces we have been working on, between Egan, Yang, De Aquino and Shawyer. What I ended up with didn't surprise me. What did is how much this "mimics" gravity in the PV Model is not even funny!Let the show begin!Todd

Quote from: Notsosureofit on 06/02/2015 02:20 AMYes p = 1,2,3Yes, I was looking at your request for couplings.Are both TM and TE modes shown or did you consider just TM modes ?

...Notice that for a cylindrical cavity, it takes an infinite amount of time.

Yes

...My feeling is that you are on the right track. For some reason I keep thinking that there is a rotational factor (about the cavity axis) and a related symmetry issue; as in perhaps needing to break the symmetry to reach a stable state.

Where is it posted?

The show is not ready for prime-time yet, but working on it...Continuing from here: http://forum.nasaspaceflight.com/index.php?topic=37642.msg1381966#msg1381966An outstanding important question in developing this theory of EM Drive motion due to internal evanescent waves produced by geometrical attenuation (due to tapering of the walls of the truncated cone towards the small end) is whether the evanescent waves can couple to the enhanced energy density due to Q resonance standing waves. It is is very important to show this, because otherwise the EM Drive would not be able to be superior to a perfectly collimated photon rocket. The stored energy density from resonance is the key.It is important to show whether there is coupling of the evanescent waves with the standing waves. That there is coupling between travelling waves and evanescent waves is shown in the paper of Zeng and Fan where one mode after another gets attenuated as it propagates towards the small end. However that's for an open waveguide, where travelling waves and evanescent waves can be easily shown to be in phase (particularly for phase constant equal to zero). Doubts were expressed in this thread as to whether this is possible for standing waves and evanescent waves.The answer appears to be yes, at least in some qualified situations. There are a number of papers showing coupling between whispering -gallery modes and evanescent waves. It is far from clear whether whispering-gallery modes could be present in the EM Drive operation, (whispering-gallery modes would involve much higher frequencies -what is the highest frequency that a Magnetron puts out ?-). This recent reference (2013) shows whispering-gallery modes in the microwave frequency at 10 GHz: http://arxiv.org/pdf/hep-ph/0506074The fact that whispering-gallery modes can couple with evanescent waves is interesting enough.Coupling between high Q cavities (of the ring type) and evanescent waves have also been shown.Constructive interference....

Quote from: Notsosureofit on 06/02/2015 02:51 AMYesThen, if the fellows in Aachen, Germany, have scaled all their cavity dimensions for Baby EM Drive such thatbigdiameterAACHEN = bigdiameterNASA / (frequencyAACHEN/frequencyNASA)smalldiameterAACHEN =smalldiameterNASA / (frequencyAACHEN/frequencyNASA)lengthAACHEN = lengthdiameterNASA / (frequencyAACHEN/frequencyNASA)they don't have to worry about operating at frequencyAACHEN = 24 GHz, since the number of cycles needed for the photons in the cavity to accelerate to c (if they were free to do so), the coupling, would be what your curve shows at around frequencyNASA = 2 GHz, the NASA frequency ?