Modeling of nonlinear effects in HTS resonator

A. Luchaninov, E. V. Krykun, D. Gavva
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引用次数: 1

Abstract

In recent years increasingly in a variety of radio systems the microwave devices (transmission lines, resonators, filters, etc., that are) performed with using of the phenomenon of high temperature superconductivity (HTS) are used. From the point of view of the nonlinear properties of HTS conductors, these devices are nonlinear devices that are characterized by various nonlinear effects that often degrade the properties of the whole system. Therefore, the prediction of the nonlinear characteristics of devices with HTS is a very important task still at the design stage. In this paper we consider nonlinear effects in HTS microstrip resonators. A mathematical model based on the method of nonlinear integral equations (NIE) with respect to the distribution of spectral components of current density on the surface of the HTS conductor. A procedure of numerical solution of NIE for a periodic or intermittent mode device is offered. The results of studies of resonators with resistive and inductive nature of the nonlinearity of the surface impedance are introduced. It is shown that in resonators with inductive impedance with an increase in the level of the input there is a shift of the resonance frequency device and the response becomes asymmetric, which in turn leads to different levels of intermodulation distortion at different boundaries of bandwidth. The level of intermodulation products and the higher harmonics in the cavities of various types is analyzed.
高温超导谐振器非线性效应的建模
近年来,在各种无线电系统中越来越多地使用利用高温超导现象的微波器件(传输线、谐振器、滤波器等)。从高温超导导体的非线性特性来看,这些器件是非线性器件,具有各种非线性效应,往往会降低整个系统的性能。因此,预测高温超导器件的非线性特性仍然是设计阶段的一项非常重要的任务。本文考虑了高温超导微带谐振器中的非线性效应。基于非线性积分方程(NIE)方法建立了高温超导导体表面电流密度谱分量分布的数学模型。给出了周期模式和间歇模式器件NIE的数值求解方法。介绍了具有表面阻抗非线性的电阻性和电感性谐振器的研究结果。结果表明,在电感阻抗谐振器中,随着输入电平的增加,谐振频率器件发生位移,响应变得不对称,从而导致不同带宽边界处不同程度的互调失真。分析了不同类型空腔中互调产物和高次谐波的水平。
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