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Analysis of Rectangular Folded-Waveguide Millimeter-Wave Slow-wave Structures using Conformal Transformations
Authors:M Sumathy  K J Vinoy  S K Datta
Affiliation:(1) Microwave Tube Research and Development Centre, Bharat Electronics Complex, Jalahalli Post, Bangalore, 560013, India;(2) Department of Electronics & Communication Engineering, Indian Institute of Science, Bangalore, 560054, India
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.
Keywords:Conformal mapping  Conformal transformation  Polygon transformation  Rectangular folded-waveguide (RFW)  Slow-wave Structure (SWS)  Traveling-wave tube (TWT)
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