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Microwave Analysis with Monte Carlo Methods for ECH Transmission Lines

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Abstract

A new code framework, MORAMC, is presented which model transmission line (TL) systems consisting of overmoded circular waveguide and other components including miter bends and transmission line gaps. The transmission line is modeled as a set of mode converters in series where each component is composed of one or more converters. The parametrization of each mode converter can account for the fabrication tolerances of physically realizable components. These tolerances as well as the precision to which these TL systems can be installed and aligned gives a practical limit to which the uncertainty of the microwave performance of the system can be calculated. Because of this, Monte Carlo methods are a natural fit and are employed to calculate the probability distribution that a given TL can deliver a required power and mode purity. Several examples are given to demonstrate the usefulness of MORAMC in optimizing TL systems.

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Notes

  1. Formally, the terms \(\theta ^{\prime }_{x}\) and \(\theta ^{\prime }_{y}\) should be \(\tan (\theta ^{\prime }_{x})\) and \(\tan (\theta ^{\prime }_{y})\), since that is the slope of a discrete angle. But this is different than the analytical solution of [4], perhaps an oversight on their part, and insignificant in the small-angle approximation in any case.

  2. Felici [23] corrects the transformation of the propagation vector in P by letting k y →−k y which makes things work.

  3. Since the fabrication tolerances are actually based on the end face of each piece of waveguide or component, it is the combined tilt angle of two of these tilt angles that makes a coupling tilt angle. A joint probability distribution (not derived here) is used.

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Acknowledgements

The authors would like to thank Guiding Wang (UCLA) for providing experimental data for the transmission line losses of the ITER LFSR test stand and also Tim Bigelow (ORNL) for valuable discussion. This work was performed under the U.S. DOE contract no. DE-AC05-00OR22725.

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  1. Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA

    M. C. Kaufman, C. Lau & G. R. Hanson

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  1. M. C. Kaufman
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  2. C. Lau
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Correspondence to M. C. Kaufman.

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This manuscript has been authored by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains anonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan).

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Kaufman, M.C., Lau, C. & Hanson, G.R. Microwave Analysis with Monte Carlo Methods for ECH Transmission Lines. J Infrared Milli Terahz Waves 39, 456–482 (2018). https://doi.org/10.1007/s10762-018-0475-5

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