Evaluation of radiation fields using statistical methods of integration
Abstract
An improved Monte Carlo method of integration  referred to as the method of antithetic variates  is proposed for increasing accuracy by reducing the variance of the estimator. Results are presented regarding the application of the method of antithetic variates to a large onedimensional antenna problem and a large twodimensional aperture antenna problem. It is shown that this improved method saves substantial amounts of time and effort, however it does not solve for the current or field distribution on antennas or apertures. These quantities may be obtained by methods such as physical optics which are good approximations for large structures where the Monte Carlo method is most suitable.
 Publication:

IEEE Transactions on Antennas and Propagation
 Pub Date:
 March 1978
 DOI:
 10.1109/TAP.1978.1141823
 Bibcode:
 1978ITAP...26..288A
 Keywords:

 Antenna Arrays;
 Antenna Radiation Patterns;
 Monte Carlo Method;
 Numerical Integration;
 Statistical Analysis;
 Approximation;
 Estimators;
 Linear Arrays;
 Physical Optics;
 Communications and Radar