“…One may start validating the analytically obtained dispersion relation (14) with reference to the special cases of the structure: for the case, i) r SH → r W the dispersion relation (14) becomes the same, as that for the disc-loaded circular waveguide of disc-hole radius r BH , disc-thickness T BH , and periodicity L [28,29]; ii) r BH → r W , (14) becomes the same as that for the disc-loaded circular waveguide of disc-hole radius r SH , disc-thickness T SH , and periodicity L [28,29]; iii) r SH = r BH and T SH = T BH , (14) becomes as that for discloaded circular waveguide of disc-hole radius r BH (= r SH ), discthickness T BH (= T SH ), and periodicity L/2 [28,29]; iv) r SH = r BH and T SH + T BH = L, (14) becomes J 0 {γ I n r SH } = J 0 {γ I n r BH } = 0, which is dispersion relation of the smooth-wall circular waveguide of radius r BH (= r SH ); and v) r SH = r BH → r W , (14) becomes J 0 {γ I n r W } = 0, which is dispersion relation of the smooth-wall circular waveguide of radius r W . Also, while considering infinitesimally thin disc, (14) passes to that published for infinitesimally thin discloaded circular waveguide [27,28], and while ignoring the higher order harmonics passes to that published in [36].…”