Synthesis of parametrically-coupled networks

Abstract

We show that a common language can be used to unify the description of parametrically-coupled circuits-parametric amplifiers, frequency converters, and parametric nonreciprocal devices-with that of band-pass filter and impedance matching networks. This enables one to readily adapt network synthesis methods from microwave engineering in the design of parametrically-coupled devices having prescribed transfer characteristics, e.g. gain, bandwidth, return loss, and isolation. We review basic practical aspects of coupled mode theory and filter synthesis, and then show how to apply both, on an equal footing, to the design of multi-pole, broadband parametric and nonreciprocal networks. We supplement the discussion with a range of examples and reference designs. CONTENTS I. Introduction A. Parametric conversion 9 B. Parametric frequency conversion is a generalized impedance/admittance inverter 9 C. Parametric amplification 10 D. Modulated mutual coupling 11 IV. Band-pass impedance matching and filter networks 11 A. Series/shunt band-pass ladder network design 11 B. Coupled-resonator method for band-pass network design 12 C. Impedance-matching of a resonated load 13 D. Coupled-resonator filter design example 13 E. Filter synthesis methodically determines resonator coupling rates 14 V. Engineering coupled-mode networks 14 A.

Simulating the behaviour of travelling wave superconducting parametric amplifiers using a commercial circuit simulator

“…These software limitations can be mitigated by simulating the devices in harmonic balance mode in software packages, such as Keysight Advanced Design System (ADS) 2 , which is widely used in the design of active and passive RF circuits and has the advantage of being fast, user friendly and well documented. A similar method has recently been used to simulate parametricallycoupled networks in ADS [20].…”

Simulating the behaviour of travelling wave superconducting parametric amplifiers using a commercial circuit simulator

“…These software limitations can be can be mitigated by simulating the devices in harmonic balance mode in software packages such as Keysight ADS §, which is widely used in the design of active and passive RF circuits and has the advan- ‡ www.wrcad.com § www.keysight.com tage of being fast, user friendly and well documented. A similar method has recently been used to simulate parametrically-coupled networks in ADS [20]. This work will focus on the simulation of TWPAs using their equivalent circuit models built in ADS to calculate the S-parameters, dispersion and gain of such devices without needing to set up and solve the high order coupled mode equations.…”