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Modeling of Superconducting Components in Full-Wave Simulators

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Abstract

Designing superconducting microwave planar components cannot be well performed without utilizing a full-wave simulator. However, well-known conventional simulators, i.e., Ansoft HFSS or CST microwave studio, cannot predict the electromagnetic behavior of superconducting circuits. Therefore, this paper proposes a simulation model through utilizing which one can evaluate superconducting microwave components in conventional simulators. The model works for a film thickness up to 5λ and can be used up to millimeter-wave frequencies. The proposed model replaces the superconducting film by a sheet with appropriate impedance. The value of the equivalent sheet impedance is determined subject to the current distribution within the film. Through the proposed simulation model, the characteristic impedance and phase constant of several superconducting microstrip transmission lines are obtained using Ansoft HFSS. The results are compared with those from theoretical formulas. The agreement between the results shows that one can obtain the behavior of superconducting microwave components by simulating the structure with the proposed model.

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References

  1. Gupta, K.C., Garg, R., Bahl, I.: Microstrip Lines and Slotlines. Artech, Dedham (1979)

    Google Scholar 

  2. Hammerstad, E., Jensen, O.: Accurate models for microstrip computer-aided design, pp. 407–409. IEEE MTT-S International Microwave symposium Digest, Washington, DC (1980)

    Google Scholar 

  3. Zehentner, J.: Characteristic impedance and effective permittivity of modified microstrip line for high power transmission. IEEE Trans. Microwave Theory & Tech. 35(7), 615–620 (Jul 1987)

    Article  ADS  Google Scholar 

  4. Ruehli, A.E., Cangellaris, A.C.: Progress in the methodologies for the electrical modeling of interconnects and electronic packages. Proc. IEEE. 89(5), 740–771 (May 2001)

    Article  Google Scholar 

  5. Ravelo, B., Maurice, O.: Kron–Branin modeling of Y-Y-tree interconnects for the pcb signal integrity analysis. IEEE Trans. Electromagn. Compat. 59(2), 411–419 (April 2017)

    Article  Google Scholar 

  6. Eudes, T., Ravelo, B., Louis, A.: Experimental validations of a simple pcb interconnect model for high-rate signal integrity. IEEE Trans. Electromagn. Compat. 54(2), 397–404 (April 2012)

    Article  Google Scholar 

  7. Webster, S.P.: Approach to modelling uniform transmission lines for broadband high-frequency applications. IET Circuits, Devices & Systems. 14(4), 510–520 (July 2020)

    Article  Google Scholar 

  8. Hoefer, W.J.R.: The transmission-line matrix method - theory and applications. IEEE Trans. Microwave Theory & Tech. 33(10), 882–893 (Oct. 1985)

    Article  ADS  Google Scholar 

  9. Ney, M.: Method of moments as applied to electromagnetic problems. IEEE Trans. Microwave Theory & Tech. 33(10), 972–980 (Oct. 1985)

    Article  ADS  Google Scholar 

  10. Jin, J.: The finite element method in electromagnetics. John Wiley & Sons, New York, USA (1993)

    MATH  Google Scholar 

  11. Krishna, K.S.R., Narayana, J.L., Reddy, L.P.: ANN models for microstrip line synthesis and analysis. Int. J. Elect. Syst. Sci. Eng. 1, 196–200 (2008)

    Google Scholar 

  12. Lancaster, M.J.: Passive microwave device applications of high-temperature superconductors. Cambridge University Press (2006)

  13. Majedi, A.H., Saeedkia, D., Chaudhuri, S.K., Safavi-Naeini, S.: Physical modeling and frequency-response analysis of a high-temperature superconducting terahertz photomixer. IEEE Trans. App. Superconductivity. 52(10), 2430–2437 (Oct. 2004)

    Google Scholar 

  14. Li, S., Huang, J., Meng, Q., Sun, L., Zhang, Q., et al.: A 12-pole narrowband highly selective high-temperature superconducting filter for the application in the third-generation wireless communications. IEEE Trans. Microwave Theory & Tech. 55(4), 754–759 (2007)

    Article  ADS  Google Scholar 

  15. Guan, X., Peng, Y., Liu, H., Lei, J., et al.: Compact triple-band high-temperature superconducting filter using coupled-line stepped impedance resonator. IEEE Trans. App. Superconductivity. 26(7), 1–5 (Oct. 2016)

    Google Scholar 

  16. Javadzadeh, S.M.H., Farzaneh, F., Fardmanesh, M.: Current distribution and nonlinearity of open-ends and gaps in superconducting microstrip structures. J. Supercond. Nov. Magn. 26, 1821–1825 (2013)

    Article  Google Scholar 

  17. J. C. Swihart, “Field solution for a thin-film superconducting strip transmission line,” J. of Applied Physics, vol. 32, no. 3, Mar. 1961

  18. W. H. Chang, “The inductance of a superconducting strip transmission line,” J. of Applied Physics, vol. 50, no. 12, Dec. 1979

  19. B. Jiashan and Q. Jian, “A new formula for calculating the inductance of a superconducting strip transmission line,” J. of Applied Physics, vol. 53, no. 9, Sep. 1982

  20. Boutboul, M.S., Kokabi, H., Pye’e, M.: Modeling of microstrip quasi-TEM superconducting transmission lines, comparison with experimental results. Physica C: Superconductivity and its applications. 309(15), 71–78 (Sep. 1998)

    Article  ADS  Google Scholar 

  21. H. R. Mohebbi, and A. H. Majedi, “CAD model for circuit parameters of superconducting-based hybrid planar transmission lines,” Supercond. Sci. Technol., vol. 22, no. 12, p. 125028, Nov. 2009

  22. S. Zhao, S. Withington, D. J. Goldie, and C. N. Thomas, “Electromagnetic models for multilayered superconducting transmission lines,” Supercond. Sci. Technol., vol. 31, no. 8, p. 085012, July 2018

  23. A.R . Kerr, “Surface impedance of superconductors and normal conductors in EM simulators,” NRAO, Green Bank, WV, USA, Electron. DivisionInternal Rep. 302, 1999

  24. Belitsky, V., Risacher, C., Pantaleev, M., Vassilev, V.: Superconducting microstrip line model studies at millimetre and sub-millimeter waves. Int. J., Infrared Millimeter Waves. 27(6), 809–834 (2006)

    Article  Google Scholar 

  25. Takeuchi, N., Yamanashi, Y., Saito, Y., Yoshikawa, N.: 3D simulation of superconducting microwave devices with an electromagnetic-field simulator. Physica C: Superconductivity and its applications. 469(15), 1662–1665 (Oct. 2009)

    Article  ADS  Google Scholar 

  26. Jia-Sheng Hong, M.J.: Lancaster, “Microstrip Filters for RF/Microwave Applications”. John Wiley & Sons, Inc. (2001)

    Book  Google Scholar 

  27. Rose-Innes, A.C., Rhoderick, E.H.: Introduction to Superconductivity, 2nd edn. Pergamon Press, Oxford (1978)

    Google Scholar 

  28. Vendik, O.G., Vendik, I.B., Kaparkov, D.I.: Empirical model of the microwave properties of high-temperature superconductors. IEEE Trans. Microwave Theory & Tech. 46(5), 469–478 (May 1998)

    Article  ADS  Google Scholar 

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Acknowledgement

The authors would like to thank M. Gashtasbi for his help and support.

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Authors and Affiliations

  1. Electrical and Electronic Engineering Department, Shahed University, Tehran, 1915713495, Iran

    Mohammad Hossein Amini & Alireza Mallahzadeh

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  1. Mohammad Hossein Amini
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  2. Alireza Mallahzadeh
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Correspondence to Alireza Mallahzadeh.

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Amini, M.H., Mallahzadeh, A. Modeling of Superconducting Components in Full-Wave Simulators. J Supercond Nov Magn 34, 675–681 (2021). https://doi.org/10.1007/s10948-020-05795-6

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  • DOI: https://doi.org/10.1007/s10948-020-05795-6

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