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Updated: Jun 12, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Rayleigh-Ritz optimization of the structure function for a Kolmogorov power density and an approximate analytical
Abstract:
Beginning with the exact Kolmogorov power spectrum for an extended random medium (such as interstellar space), the structure function is first expressed as an inverse Fourier-Bessel transform. An approximate series representation involving fractional powers of the transverse coordinate is then optimized by an equivalent Gaussian expansion up to two terms using the Rayleigh-Ritz technique. The domains of validity as well as the coherence profile of the resulting analytical solution of the two-point electric field correlation function are examined. It is shown that the correlation in both the transverse and longitudinal directions persists over distances up to a few orders of magnitude greater than that for a medium described by a Gaussian structure function.
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