About the ergodicity hypothesis in random propagation studies

Details About the ergodicity hypothesis in random propagation studies About the ergodicity hypothesis in random propagation studies

Oct 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981a%26a...102..212b&link_type=abstract

Astronomy and Astrophysics, vol. 102, no. 2, Oct. 1981, p. 212-222.

Astronomy and Astrophysics

Astrophysics

6

Electromagnetic Pulses, Electromagnetic Wave Transmission, Ergodic Process, Random Processes, Statistical Analysis, Turbulence Effects, Electron Density (Concentration), Hypotheses, Interplanetary Space, Plasma Turbulence, Pulse Communication, Signal Transmission, Space Plasmas

Scientific paper

The propagation of a wave through a random medium is studied in an attempt to link the statistics of the electromagnetic signal to the statistics of the field traversed. A multiscaled model is proposed which takes into account the statistical properties of the disturbing medium, comprising local (small scale observable disturbances) and global (statistical properties considered over a large interval compared to the correlation length) properties of the intervening medium. An equivalence condition, necessary to satisfy the ergodicity hypothesis which requires an infinite interval of observation for one realization of the medium, is formulated to consider an equivalence between an averaged mean value and a temporal mean value. Random phase screen and multigaussian models are developed to account for the second order statistical properties of the field and the spatial properties of the medium, respectively. The resulting theory indicates that the structure of the electron density is an appropriate means for the study of turbulence in interplanetary plasma.

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