Brett, Everything depends ultimately on the factor that I mentioned as regul= ating the sensitivity of a capacitive detector; i.e., the size of the elect= ric field between the plates. For a given "bias" voltage (necessarily a.c.= ), the 'driver' then is the spacing between the plates. For sufficiently l= arge plate areas (relative to the gap spacing), the field is well approxima= ted as being uniform and given simply by the ratio of voltage to spacing. = In the VolksMeter and also the Cavendish balance, the nominal spacing emplo= yed (better part of 1 mm) is very large compared to what is routinely used = in commercial force balance instruments (measured in microns). In other wo= rds, for reason of user-friendliness, we have opted for a great sacrifice i= n ultimate-possible sensitivity. The great performance of the STS instrume= nts derived from the 'watchmaker-like' artisanship of the master craftsman,= Gunar Streckeisen. On the other hand, I'm like one with 'two thumbs' on e= ach hand when it comes to trying to copy the man. That I could build anyth= ing even close to performance approaching his instruments only in the lowes= t frequency regimes--is a testament of the 'advantage' of my sensor at low = frequencies, operating in an unconventional manner. One configuration of my sensor allows operation on the basis of gap s= pacing change, so that it can be used in a force balance arrangement, with = potentially greater sensitivity than conventional commercial instruments-no= ne of which, to my knowledge-are fully differential. Allan Coleman did bui= ld his instrument (MKXXI) that is described on my webpage to operate in thi= s manner. The electronics is shown in his Fig. 8, and he estimated his sen= sitivity to be 1415 V/m/s. I don't know how this figure compares with othe= r instruments in the frequency range important to earthquake waves, since I= am accustomed to acceleration specifications rather than velocity. Of cou= rse one can transform back and forth between the two, which I haven't done = for this case. I have chosen to avoid force balance for one reason that is not w= ell appreciated. Real springs are influenced by non-static metastabilities= that influence the shape of the potential energy well; in other words, the= non-Hookean spring is not consistent with a parabola. In terms that some = engineers appreciate, there is an advantage to dithering because of these m= etastabilities. In the more modern physics terminology, we say that there = is an improvement in SNR that is possible (in the presence of nonlinear (co= mplex) defect structures involving dislocations) by taking advantage of sto= chastic resonance. Thus my usual SDC sensing arrangement is one that oper= ates on the basis of area variation rather than gap-spacing variation. By = means of electrode arrays, it allows a very large mechanical dynamic range = while retaining a decent, reasonably constant sensitivity over the whole ra= nge. By contrast, when using gap-variation for the sensing means, force ba= lance is required-since otherwise the sensor becomes highly nonlinear. For= ce balance tends (at least in the 'low and slow' limit) toward 'latching' o= f the inertial mass in the small, localized trapping sites. On the other h= and, the mode I'm using allows 'skating over the washboard'. Sometimes fol= ks in the stochastic resonance world talk about a similar thing by means of= a ball rolling on a track similar in shape to an egg carton. Randall= =Brett,
Everything depends= ultimately on the factor that I mentioned as regulating the sensitivity of= a capacitive detector; i.e., the size of the electric field between the pl= ates. For a given “bias” voltage (necessarily a.c.), the = ‘driver’ then is the spacing between the plates. For suff= iciently large plate areas (relative to the gap spacing), the field is well= approximated as being uniform and given simply by the ratio of voltage to = spacing. In the VolksMeter and also the Cavendish balance, the nomina= l spacing employed (better part of 1 mm) is very large compared to what is = routinely used in commercial force balance instruments (measured in microns= ). In other words, for reason of user-friendliness, we have opted for= a great sacrifice in ultimate-possible sensitivity. The great perfor= mance of the STS instruments derived from the ‘watchmaker-like’= artisanship of the master craftsman, Gunar Streckeisen. On the other= hand, I’m like one with ‘two thumbs’ on each hand when i= t comes to trying to copy the man. That I could build anything even c= lose to performance approaching his instruments only in the lowest frequenc= y regimes--is a testament of the ‘advantage’ of my sensor at lo= w frequencies, operating in an unconventional manner.
One configuration of my sensor= allows operation on the basis of gap spacing change, so that it can be use= d in a force balance arrangement, with potentially greater sensitivity than= conventional commercial instruments—none of which, to my knowledge&#= 8212;are fully differential. Allan Coleman did build his instrument (= MKXXI) that is described on my webpage to operate in this manner. The= electronics is shown in his Fig. 8, and he estimated his sensitivity to be= 1415 V/m/s. I don’t know how this figure compares with other i= nstruments in the frequency range important to earthquake waves, since I am= accustomed to acceleration specifications rather than velocity. Of c= ourse one can transform back and forth between the two, which I haven’= ;t done for this case.
&nbs= p; I have chosen to avoid fo= rce balance for one reason that is not well appreciated. Real springs= are influenced by non-static metastabilities that influence the shape of t= he potential energy well; in other words, the non-Hookean spring is not con= sistent with a parabola. In terms that some engineers appreciate, the= re is an advantage to dithering because of these metastabilities. In = the more modern physics terminology, we say that there is an improvement in= SNR that is possible (in the presence of nonlinear (complex) defect struct= ures involving dislocations) by taking advantage of stochastic resonance. &= nbsp; Thus my usual SDC sensing arrangement is one that operates on th= e basis of area variation rather than gap-spacing variation. By means= of electrode arrays, it allows a very large mechanical dynamic range while= retaining a decent, reasonably constant sensitivity over the whole range.&= nbsp; By contrast, when using gap-variation for the sensing means, force ba= lance is required—since otherwise the sensor becomes highly nonlinear= .. Force balance tends (at least in the ‘low and slow’ lim= it) toward ‘latching’ of the inertial mass in the small, locali= zed trapping sites. On the other hand, the mode I’m using allow= s ‘skating over the washboard’. Sometimes folks in the st= ochastic resonance world talk about a similar thing by means of a ball roll= ing on a track similar in shape to an egg carton.
Randall