Effect of a Longitudinal Aperture's Position Uncertainty on the Electromagnetic Fields Excited in a Finite Length Cylindrical Cavity

The effect of a longitudinal aperture's location on the electromagnetic modal fields excited in a finite-length cylindrical cavity by plane wave incidence is investigated using a semi-analytical approach. Insights from this analysis are then used to obtain statistical descriptions of the cavity's individual modes and quality factor for a stochastically described aperture location. An analytical model for the probability density function of these quantities is also derived and validated through comparisons with Monte Carlo simulations.