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Characterization of Transmission Lines with Nonlinear Dielectric Materials
Published
Author(s)
Aaron M. Hagerstrom, Christian J. Long, Nathan D. Orloff, James C. Booth, Eric J. Marksz
Abstract
Nonlinear transmission lines are interesting for two broad reasons: first, they have several direct device applications (i.e. harmonic generation, and phase shifters), and second, they provide a way to characterize nonlinear materials at mm-wave frequencies. In either case, circuit modeling is challenging because nonlinear waveguides are described by a nonlinear wave equation. In this paper, we focus on characterizing the nonlinear mixing products generated by coplanar waveguides on a strongly nonlinear ferroelectric Ba0:5Sr0:5TiO3 (BST) film. We develop a perturbative solution to the nonlinear wave equation, and validate our model by using a nonlinear vector network analyzer (NVNA) measure the nonlinear mixing products. Our approach is useful for predicting spurious signals generated by nonlinear mixing in devices with nonlinear dielectrics, and predicting the performance of nonlinear devices like harmonic generators.
Hagerstrom, A.
, Long, C.
, Orloff, N.
, Booth, J.
and Marksz, E.
(2017),
Characterization of Transmission Lines with Nonlinear Dielectric Materials, 90th ARFTG Microwave Measurement Conference, Boulder, CO, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=924675
(Accessed October 22, 2025)