Van der Waals Force Sensor Calibration
by Fabrizio Pinto
April 04, 2006A remarkable dearth of literature exists on the effects of coupling membranes to rigid objects. Comparison of the theory to the data from direct experimentation in the case of an annular membrane attached to a free, rigid core was non-existent until the upcoming article by Dr. Fabrizio Pinto on the behavior of the membrane of a capacitive microphone loaded with a small disk permanently cemented at its center. Although such a modified microphone has been used in a past attempt to detect the van der Waals forces between the central disk and a facing surface, quantitative agreement with the predictions of quantum-electro-dynamics was only partially satisfactory. The laboratory at InterStellar Technologies Corporation has undertaken a comprehensive effort to greatly improve and expand on the general approach of this experiment by employing, however, a similar force-sensing strategy. The corner-stone of correct data interpretation in an effort of this type is clearly a thorough understanding of the behavior of the membrane-disk system above. However, previous authors have offered a very limited discussion of the dynamics of their sensor, which may, at least in part, explain their partially unsatisfactory results.
The article by Dr. Pinto in the Journal of Sound and Vibration reports on the relevant facts of the theory of membrane oscillations in the presence of a central rigid core and a comparison with our first experimental data, obtained as part of the process of calibration of the sensor to be used in upcoming van der Waals force measurements.
Reference: F. Pinto, "Analytical and experimental investigation on a vibrating annular membrane attached to a central free, rigid core," Journal of Sound and Vibration, Volume 291, Issues 3-5, 4 April 2006, Pages 1278-1287.
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