Abstract
The mode matching method is applied to analyze generalized ridged waveguides. The tangential fields in each region are expressed in terms of the product of several matrices, i.e., a functional matrix about x-F(x), a functional matrix about y-G(y) and a column vector of amplitudes. The boundary conditions are transformed into a set of linear equations by taking the inner products of each element of G(y) with weight functions. Two types of ridged waveguide are calculated to validate the theory. Several new modes not reported in previous analysis are presented.
Highlights
Ridged waveguides have many applications in microwave and millimeter wave devices, owing to the well known fact that the cutoff frequency of their fundamental mode is far lower than that of the
For each region i (xi≤x≤xi+1, yi≤y≤yi+bi), we express the tangential fields in each region in terms of the multiplication of several
The boundary conditions of each pair of adjacent regions are accomplished by taking the inner products of each element of G(y) with weight
Summary
The modes in ridged waveguide with inhomogenous dielectric filled are neither TE nor TM to the guide axis. In each region the fields can be expressed as a superposition of TE and TM modes of parallel planes. We denote φ (i) h and φ (i) e as z-components of the magnetic-type and electric-type Hertzian potentials of TE and TM modes in region i, respectively. They are assumed to be ( e− jβz is omitted in this paper).
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