Analysis and Simulation of distributed nonlinearities in ferroelectrics and superconductors for microwave applications

This paper gives closed-form equations for the intermodulation and third harmonic signals generated in a nonlinear transmission line with distributed quadratic nonlinearities in the conductor and dielectric. Although the formulation developed is general, it is intended to be used in planar devices combining high-temperature superconductor (HTS) and oxide ferroelectrics. The analysis in this paper shows that the intermodulation and third harmonic signals produced by an HTS tend to cancel those of a ferroelectric, and that full cancellation is theoretically possible. This opens the way for using HTS/ferroelectric multilayers, not (only) for their tunable or phase-shifting properties, but for highly linear spurious-free planar HTS devices.

[1]  Ronald H. Ono,et al.  Microwave frequency tuning and harmonic generation in ferroelectric thin film transmission lines , 2002 .

[2]  J. Mateu,et al.  Prediction of nonlinear distortion in HTS filters for CDMA communication systems , 2003 .

[3]  Jordi Mateu,et al.  Nonlinear performance characterization in an eight-pole quasi-elliptic bandpass filter , 2004 .

[4]  J. Contour,et al.  Frequency agile microwave devices based on Y-Ba-Cu-O/Sr-Ti-O//La-Al-O structure , 2001 .

[5]  O. Vendik,et al.  Ferroelectric phase transition and maximum dielectric permittivity of displacement type ferroelectrics (BaxSr1−xTiO3) , 2000 .

[6]  D. Scalapino,et al.  Theory of intermodulation in a superconducting microstrip resonator , 1997 .

[7]  Michael J. Lancaster,et al.  Thin-film ferroelectric microwave devices , 1998 .

[8]  Orest Vendik,et al.  Ferroelectric Tuning of Planar and Bulk Microwave Devices , 1999 .

[9]  R. Ott,et al.  Nonlinear Microwave Properties of Ferroelectric Thin Films , 2004 .

[10]  B. H. Moeckly,et al.  Strontium titanate thin films for tunable YBa/sub 2/Cu/sub 3/O/sub 7/ microwave filters , 2001 .

[11]  H. Lue,et al.  Application of on-wafer TRL calibration on the measurement of microwave properties of Ba0.5Sr0.5TiO3 thin films. , 2001 .

[12]  G. Muller,et al.  Fundamental limits of the linear microwave power response of epitaxial Y-Ba-Cu-O films , 1997, IEEE Transactions on Applied Superconductivity.

[13]  Hang-Ting Lue,et al.  Application of on-wafer TRL calibration on the measurement of microwave properties of Ba/sub 0.5/Sr/sub 0.5/TiO/sub 3/ films , 2001 .

[14]  M. Dresselhaus,et al.  Nonlinear surface impedance of YBCO thin films: Measurements, modeling, and effects in devices , 1995 .

[15]  B. Willemsen,et al.  Unusual power dependence of two-tone intermodulation in high-Tc superconducting microwave resonators , 1999 .

[16]  Halbritter Extrinsic or intrinsic conduction in cuprates: Anisotropy, weak, and strong links. , 1993, Physical review. B, Condensed matter.

[17]  O. Vendik,et al.  Modeling the dielectric response of incipient ferroelectrics , 1997 .

[18]  S.M. Ali,et al.  Current distribution, resistance, and inductance for superconducting strip transmission lines , 1991, IEEE Transactions on Applied Superconductivity.

[19]  O. Soldatenkov,et al.  Nonlinear response and power handling capability of ferroelectric BaxSr1−xTiO3 film capacitors and tunable microwave devices , 2000 .

[20]  C. Collado,et al.  Analysis and simulation of the effects of distributed nonlinearities in microwave superconducting devices , 2005, IEEE Transactions on Applied Superconductivity.

[21]  David Galt,et al.  Nonlinear behavior of thin film SrTiO3 capacitors at microwave frequencies , 1998 .

[22]  J. Mateu,et al.  Nonlinear analysis of disk resonators. Application to material characterization and filter design , 2001 .

[23]  D. Kaiser,et al.  Small-Signal Second-Harmonic Generation by a Nonlinear Transmission Line (Comments) , 1987 .

[24]  G. Muller,et al.  Surface resistance and nonlinear dynamic microwave losses of epitaxial HTS films , 1997, IEEE Transactions on Applied Superconductivity.

[25]  D. Pozar Microwave Engineering , 1990 .

[26]  Oates,et al.  Microwave hysteretic losses in YBa2Cu3O7-x and NbN thin films. , 1995, Physical review. B, Condensed matter.

[27]  R. Humphreys,et al.  Nonlinear microwave surface impedance of YBCO films: latest results and present understanding , 2002 .

[28]  G. Koren,et al.  Observation of the nonlinear meissner effect in YBCO thin films: evidence for a D-wave order parameter in the bulk of the cuprate superconductors. , 2004, Physical review letters.

[29]  Yip,et al.  Nonlinear Meissner effect in unconventional superconductors. , 1995, Physical review. B, Condensed matter.