Modeling of unusual nonlinear behaviors in superconducting microstrip transmission lines

Self Cite

In this study, an equivalent linear and non‐linear circuit model of superconducting microstrip T‐junction (SMT) structures is proposed. Two types of SMT structures are analysed using suggested model and their scattering behaviour is compared using both the method of moment and the finite‐element method (FEM). The fundamental and third‐order harmonic outputs are obtained using harmonic balance method to observe the non‐linear behaviour in SMT structures. A linear and non‐linear model for enhanced SMT structures is also suggested and verified by S‐parameters comparison between the model and FEM method. The non‐linearity in enhanced structures is modelled similarly and compared with results of normal structures.

Section: Equivalent Linear and Non-linear Circuit Model Of Normal T-jmentioning

confidence: 99%

Equivalent linear and non‐linear circuit model of superconducting microstrip normal and enhanced T‐junction structures

Mostaani

Javadzadeh

2017

Self Cite

“…where b θ (T) and b θ ′(T) are defined in [18]. According to [18] for our distributed non-linear model, we considered both quadratic and modulus phenomenological dependence on current density.…”

Section: Distributed Non-linear Circuit Modelmentioning

confidence: 99%

“…To calculate non-linear components, for all open ends, quadratic phenomenological dependence on current density [19] and for superconducting microstrip lines both quadratic and modulus phenomenological dependence on current density are considered [18]. So we have…”

Section: Distributed Non-linear Circuit Modelmentioning

confidence: 99%

“…A number of presented models predict nonlinear behaviours of superconducting microstrip transmission lines (SMTLs) [16,17]. In some other models, accurate distributed circuit model is presented for SMTLs based on both quadratic and modulus dependence of phenomenological on current [18]. Similarly, distributed non-linear circuit models are presented for discontinuities of open-end and gap [19], step-in-width [20] in SMTLs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Analysing and modelling non‐linearity in superconducting metamaterial filter based on stepped impedance resonators

Mazdouri

Javadzadeh

2017

There are non‐linear behaviours in superconductive circuits such as superconducting metamaterial filter. In this study, the authors propose a distributed non‐linear equivalent circuit model for the superconducting metamaterial filter based on the stepped impedance resonator. This model can be used to predict the non‐linear behaviours like the third‐order intermodulation distortion and the harmonic generation. In the proposed non‐linear model, to have an accurate prediction, the authors considered both quadratic and modulus non‐linearity dependence on the current. Thereafter, this model analyses the non‐linearly using harmonic balance (HB) method at different temperatures and different input powers. There are good agreements between non‐linear simulation results and the measured ones. Moreover, based on the proposed model, the authors consider effects of the non‐linear behaviours on main parameters in the metamaterial structures such as phase constant, attenuation factor, plasma frequency, relative permittivity and permeability. Finally, the results related to variation of these parameters at different temperatures and specific input power are presented in linear and non‐linear regimes.

“…Numerous measurements of non-linear effects like IMD and harmonic generation have been reported [5][6][7]. Additionally, a number of non-linear models for superconducting microstrip transmission lines (MTLs) [8][9][10], superconducting bends [11,12] and superconducting discontinuities [13,14] have been reported in the literature. In [15] a non-linear circuit model for folded superconducting resonators, such as hairpin lines and meander lines, which contains multiple symmetric coupled superconducting transmission lines, was developed.…”

Section: Introductionmentioning

confidence: 99%

Analytical distributed non‐linear model for symmetric and asymmetric superconducting parallel‐coupled microstrip lines

Javadzadeh¹,

Farzaneh²,

Fardmanesh³

2014

Self Cite

Superconducting materials are known to produce intermodulation distortion and other non‐linear effects. In microstrip structures, the non‐linearity depends on the current distribution on the strip which is mainly determined by the geometrical structure of the device. The current distribution in superconducting parallel‐coupled microstrip lines is computed by a numerical approach based on a three‐dimensional finite element method. This computed current distribution is used to produce a non‐linear circuit model for parallel‐coupled superconducting lines. A numerical technique based on the harmonic balance approach is used for non‐linear analysis of the proposed equivalent circuit. To validate the accuracy of the proposed model, the results of analysis of hairpin resonator superconducting band pass filters are compared with measured results. This proposed technique is useful for fast and efficient non‐linear analysis of the superconducting microstrip coupled lines.