Further factual, numerical evidence against the importance of the dielectric in NASA's Brady et.al. tests.
The importance of the dielectric is based on this paragraph in the report:
<<We performed some very early evaluations without the dielectric resonator (TE012 mode at 2168 MHz, with power levels up to ~30 watts) and measured no significant net thrust.>>
I have noted before:
-very early evaluations
-no Q was reported during these "very early evaluations" without the dielectric
-at 2.168 GHz instead of 1.880 GHz (2.168 GHZ is way off to the right off scale in both the COMSOL Finite Element calculations and in the S21 plot)
What I had not pointed out is that Brady et.al. describe this evaluations at 2.168 GHz to be exactly the same mode shape (TE012) as the mode shape excited at 1.880 GHz which did result in substantial thrust.
The problem is evident: if both the 1.880 GHz and the 2.168 GHz are the same mode shape TE012, then one frequency (2.168 GHz)
must be considerably further away from the peak amplitude . It is evident from the S21 plot that the peak amplitude occurs near 1.880 GHz. Therefore the 2.168 GHz "very early evaluation" with and without the dielectric were conducted at a frequency way away from the narrow bandwidth corresponding to the Q=22,000 measured at resonance at 1.880 GHz.
Therefore, the tests conducted at 2.168 GHz are evidently way off the resonance peak frequency for mode TE012 and hence completely unrepresentative. No wonder that they did not report a Q at 2.168 GHz, since that frequency was too far away from resonance.
I attach the COMSOL Finite Element predicted amplitude vs frequency (on top) and the S21 actual measurement (on the bottom) of amplitude vs. frequency. Did they test initially at 2.168 GHz based on the COMSOL Finite Element analysis predicting peaks to occur at higher frequencies ?. It is obvious from comparison of the COMSOL FE results to the actual S21 plot that Brady's COMSOL FE result is
inaccurate for these purposes, as it predicts peak amplitudes at a different frequency than the measured frequency. In my assessment this is due to a modeling problem:was a fine enough mesh used? (apparently not), was convergence investigated with an increasing number of Finite Elements to show convergence of the results?. Besides the finite element mesh not being fine enough to demonstrate convergence, was the finite element type used able to achieve convergence ? (what interpolation function did the finite element use? what finite element shape?).
From the S21 measurements they must have realized that the actual peak for mode TE012 was at a considerably lower frequency than the >2 GHz predicted by the COMSOL Finite Element analysis. This
may explain why Brady et.al. then measured at 1.880 GHz instead of 2.168GHz.