Crosscorrelation formulation of the complex power from planar apertures
Abstract
A novel formulation of the complex power radiated from planar antenna apertures is presented in terms of the crosscorrelation functions of the aperture fields. The analysis makes use of the Fourier transform relationship between the crosscorrelation function and the cross spectral power density. We start with the wellknown Poynting vector integration which involves plane wave intrinsic impedances and which can be given in five different forms according to the choice of the field representation. Through simple mathematical manipulations we arrive at the crosscorrelation form which is applicable not only to simple apertures but also to nonperiodic as well as periodic arrays either with or without dielectric sheets. This formulation is specially useful in analyzing aperture problems having a statistical nature where the conventional Poynting vector approach is not directly applicable.
 Publication:

Radio Science
 Pub Date:
 June 1975
 DOI:
 10.1029/RS010i006p00619
 Bibcode:
 1975RaSc...10..619Z
 Keywords:

 Antenna Arrays;
 Complex Variables;
 Cross Correlation;
 Electromagnetic Radiation;
 Power Spectra;
 Apertures;
 Electric Power;
 Fourier Transformation;
 Poynting Theorem;
 Spectral Correlation;
 Statistical Correlation