AbstractThe conventional transverse resonance method, which has been widely used for the approximate characterization of a number of guiding structures and leaky wave antennas, is formulated in a generalized form. The transverse resonance viewpoint combined with the generalized matrix representation of discontinuities yields a rigorous transverse equivalent circuit of the guiding structure.This technique is used to compute the characteristics of both symmetrical and asymmetrical double slot unilateral finlines in terms of phase constant and characteristic impedance of the dominant as well as higher‐order modes. Numerical aspects of this method are discussed.In a double‐slot finline structure, a coupled‐mode regime is established with the onset of the first higher‐order mode in addition to the dominant quasi‐TEM mode. Symmetrical structures are simply modelled in terms of even and odd mode characteristics, but a more general coupled‐line model, in terms of the C‐mode and the II‐mode must be applied to asymmetrical coupled finlines.