Analysis of Rectangular Folded-Waveguide Millimeter-Wave Slow-wave Structures using Conformal Transformations

Abstract

An analysis of rectangular folded-waveguide slow-wave structure was developed using conformal mapping technique through Schwarz's polygon transformation and closed form expressions for the lumped capacitance and inductance per period of the slow-wave structure were derived in terms of the physical dimensions of the structure, incorporating the effects of the beam hole in the lumped parameters. The lumped parameters were subsequently interpreted for obtaining the dispersion and interaction impedance characteristics of the structure. The analysis was benchmarked for two typical millimeter-wave structures, one operating in Ka-band and the other operating in Q-band, against measurement and 3D electromagnetic modeling using MAFIA.

Analysis of serpentine folded-waveguide slow-wave structure using elliptical conformal transformation

“…After cascading the equivalent circuit of the beamhole with the equivalent circuit of the folded-waveguide, one can easily express the dispersion relation for the forward spaceharmonic propagating mode as [8,9] b 0 ¼…”

“…However, to the best of our knowledge, analysis of an SFW-SWS using conformal transformation has not been reported so far, except for a preliminary study by us [8]. Incidentally, in an earlier work we used Schwarz's polygon conformal transformation for analyzing a rectangular folded-waveguide SWS [9].…”

Applications and Solving Techniques of Propagated Wave in Waveguides Filled with Inhomogeneous Dielectric Materials

“…A method that relates to the propagation constant for the bound modes in the dielectric rectangular waveguides has been proposed [13]. An analysis of rectangular folded-waveguide slow-wave structure has been developed using conformal mapping by using Schwarz Christoffel transformation [14]. A simple closed form expression to compute the time-domain reflection coefficient for a transient TE 10 mode wave incident on a dielectric step discontinuity in a rectangular waveguide has been presented [15].…”

Periodic Rectangular and Circular Profiles in the Cross Section of the Straight Waveguide Based on Laplace and Fourier Transforms and Their Inverse Transforms and Applications

“…The waveguide properties of permeable one-dimensional periodic acoustic structures have been studied [10]. Analysis of rectangular folded-waveguide millimeter wave slow-wave structure using conformal transformation has been developed [11].…”