Ke. Lonngren et al., EXTRACTING DOUBLE-LAYER CHARGE-DENSITY DISTRIBUTIONS USING THE METHODOF MOMENTS, IEEE transactions on plasma science, 22(3), 1994, pp. 278-280
Using the method of moments, it is shown that the charge distribution
can be directly extracted from a measured potential profile. The techn
ique is described and placed on a theoretical foundation. The predicte
d charge distribution for a potential profile V = V0 tanh(x/L) using t
his technique is compared with a direct solution of Poisson's equation
. It is shown that similar results are obtained even if random noise i
s present in the system.