From: Bert Hickman
Date: Wed, 27 Dec 2000 16:13:29 -0600
Subject: Re: [TSSP] pn2511 is baloney
Paul, I've been slowly reviewing your excellent paper as time permits. This paper is destined to be a classic - an excellent (and evolving!) work, Paul! Some suggestions and questions follow. The EMF defined in 3.1 should have a dI(y)/dt term instead of I(y). Minor typo. In section 4, would the general equations describing the resonator be capable of handling a horizontal resonator (as in a single horizontal bipolar coil) via changes to the boundary conditions? (To my knowledge, this is a resonator configuration that has not been completely solved before). In section 5 (resonances) you mention that the equations used to generate the resonance charts were extended to include the effect of losses. It would be nice to explicitly state which losses were included and which ones were not (and why not). Also, showing the modified equations would also be valuable and would lend more credibility to the charts. In section 6, the Current and Voltage Amplitudes chart shown on page 12 is an eye-opener - especially the current profile! Although the longitudinal coupling terms in the equations are can be seen as significantly different than the common transmission line equations, this chart really drives the point home versus the previous distributed TL model of a resonator. A question: I know that Terry has done a number of voltage profile measurements which are consistent with the predicted voltage profiles. Have there been any current measurements that empirically confirm the predicted maximum at around 1/3 of the way above the grounded base? I apologize if this is old ground, since I'm only a recent participant on the TSSP list. Section 7 was especially interesting to me, as it defines shunt and "energy equivalent" capacitances and inductances for the resonator, and shows how they relate to lumped inductance and capacitance measurements and base-current and topload voltage measurements that coilers can make. This approach more rigorously defines these very useful "lumped" parameters via a more rigorous understanding and framework of distributed behavior within the resonator. And it shows "why" lumped analysis appears to be a valid approximation of gross resonator behavior. And, unlike certain helical resonator and coherence theories, the theory presented in your paper appears to be fully consistent with Conservation of Energy and reproducible experimental measurements... :^) Sections 8 and 9 looks good thus far. It looks as though extending the model to integrate topload remains as a future task. In section 2 of the paper, the addition of a topload is discussed, with Ctor and Ctop, but these are apparently not taken any further in the resonator discussions that follow. Looks like one of the next nuts to "crack". A minor quibble - Equation 9.3 should have energy "lost" per cycle instead of "lossed" per cycle. Also, has a list of references been generated for this paper? Excellent work, Paul! -- Bert -- -- Bert Hickman Stoneridge Engineering Email: bert.hickman@aquila.net Web Site: http://www.teslamania.com
Maintainer Paul Nicholson, paul@abelian.demon.co.uk.