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

Analysis of a Rectangular Waveguide Fed Compound Slot by Image Method

“…The convergence of the sum of mutual admittances has been accelerated using various algorithms in the next section. It is shown in the next section that the results obtained using the θ-algorithm [25] converge faster with the number of images than other convergence acceleration algorithms such as Shanks' transformation [15], Chebyschev-Toeplitz algorithm [16], and Levin's t-transform [18]. The θ-algorithm has been shown to have better convergence properties than Shanks' transformation for free space periodic Green's function [25].…”

“…The waveguide walls are of thickness t and assumed to be perfect electric conductors. The slot electric field is along the ξ direction and has been assumed constant along the width of the slot for simplicity, although the transverse electric field distribution with the edge condition may also be incorporated just as easily into the analysis as done in [15]. The electric field has been assumed to be equiphase over the slot and has no component along the ζ direction.…”

“…Recently, the longitudinal slot in a waveguide has been analysed by using the equivalent image representation which replaces the original slot in a waveguide with infinite images of the slot in the homogeneous medium filling the waveguide (free space for air filled waveguides). These images are formed due to successive reflections in the perfectly conducting waveguide walls [15][16][17][18][19]. The magnetic field at the reference slot is then due to the mutual admittance from all the image slots.…”

“…Recently, the internal admittance of a longitudinal slot has been evaluated by replacing the waveguide fed slot with its images formed due to reflections from the perfectly conducting waveguide walls, leading to an equivalent 2D infinite array of slots [15][16][17][18][19]. The magnetic field at the reference slot due to all the magnetic current images has been evaluated by adding the mutual admittances due to all the image currents.…”

Analysis of a rectangular waveguide transverse slot using MoM and image method

“…It is also relatively easy to accommodate different slot aperture distributions within the formulation by taking a suitable approximation for mutual admittance between slots having the given aperture distribution, e.g. with edge condition [19]. The image method allows for the visualisation of individual elements contributing to the internal admittance and permits to choose a technique that is most suited for its evaluation, thereby leading to simplification in the analysis based on physical understanding of the problem rather than merely simplifying a mathematical expression.…”