Premium
Probability distributions of random electromagnetic fields in the presence of a semi‐infinite isotropic medium
Author(s) -
Arnaut L. R.
Publication year - 2007
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2006rs003541
Subject(s) - isotropy , probability density function , electromagnetic radiation , electromagnetic field , electric field , plane wave , physics , polarization (electrochemistry) , random field , computational physics , optics , mathematics , quantum mechanics , statistics , chemistry
Using a transverse electric/transverse magnetic decomposition for an angular plane wave spectrum of random electromagnetic waves and matched boundary conditions, we derive the probability density function for the energy density of the vector electric field in the presence of a semi‐infinite isotropic medium. The theoretical analysis is illustrated with calculations and results for good electric conductors and for a lossless dielectric half‐space. The influence of the permittivity and conductivity on the intensity, polarization state, statistical distribution, and standard deviation of the field is investigated, both for incident plus reflected fields and for refracted fields. External refraction is found to result in compression of the fluctuations of the random field. Several applications of the theory are discussed.