ABSTRACT
The log normal distribution is extremely important and very frequently encountered in our universe. There is a simple explanation why almost any data set that depends on a number of ill-determined factors will be approximately log normal. This approximate relationship may be inferred from the Central Limit Theorem, and if each of the ill-determined factors has an identical distribution, the approximate relationship becomes exact. In this chapter, the authors describe some properties of a log normal distribution, including the development of the fields associated with an environment that has a log normal power-flux distribution. ElectroMagnetic power flux inside an overmoded cavity can be statistically represented by a normal/log-normal distribution or by a modified Bessel function of the second kind. Deducing the distribution of electromagnetic fields within the cavity given the distribution of power flux is a fairly simple procedure.
