PSN-L Email List Message

Subject: sdc sensitivity
From: Randall Peters PETERS_RD@..........
Date: Fri, 12 Aug 2011 17:28:06 -0400


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

= =

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