Efficient analysis of waveguide longitudinal slot with edge condition using the sum of images

A radiating longitudinal shunt slot in a waveguide has been analysed by evaluating its internal admittance from its images formed in waveguide walls and using recently developed simple closed form expressions for mutual admittance. The edge condition along transverse direction of slot has been incorporated into the aperture distribution and convergence is accelerated using Shanks´ transformation. The resonant length calculated using this simple and accurate analysis is shown to be in close agreement with measured and other theoretical results.