“…Xu et al studied, using a field-matching method, the fundamental mode of the corrugated elliptical waveguide by taking no account of space harmonics, as well as neglecting higher-order modes in the slot region [16], [17]. Recently, Han et al have studied [18], by following a modematching approach, the dispersion characteristics of three even TM modes, considering space harmonics in the inner region and higher-order modes in the slot region. Nevertheless, all the methods considered are based on the computation of Mathieu functions, which cannot be very efficient in terms of computational cost.…”