Electromagnetic wave scattering from a finite volume turbulent plasma

General relations are developed for the classical scattering of plane electromagnetic waves in the first Born approximation from the turbulent fluctuations in the electron density of a weakly ionized, finite volume, arbitrarily shaped plasma. By finite volume we mean that the correlation length of the turbulence can be arbitrary compared to the dimensions of the plasma. Former work applies only to the case of small correlation lengths. The transmitter for the incident and the receiver for the scattered radiation are assumed to be in the far field of the scattering plasma. Scattering relations for a one-dimensional plasma are presented in order to point out simply the differences between the large and small correlation length cases. The general scattering relations are specialized for a parallelpiped plasma with a Gaussian autocorrelation function. The resulting integral is solved on a computer. Results show that the scattered radiation can be much greater than that evaluated with the Booker-Gordon relation, when the correlation length is greater than the incident EM wavelength. The scattered radiation is equal to or less than the Booker-Gordon value when the EM wavelength is greater than the correlation length.