Comparison of methods for calculating superconducting integrated structures using semi-analytical calculations and in three-dimensional numerical modeling programs

F. V. Khan; Хан Ф. В.; A. A. Atepalikhin; Атепалихин А. А.; L. V. Filippenko; Филиппенко Л. В.; V. P. Koshelets; Кошелец В. П.

doi:10.31857/S0033849423090115

Comparison of methods for calculating superconducting integrated structures using semi-analytical calculations and in three-dimensional numerical modeling programs

Authors: Khan F.V.¹^,2, Atepalikhin A.A.¹^,2, Filippenko L.V.¹, Koshelets V.P.¹
Affiliations:
1. Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences
2. Moscow Institute of Physics and Technology (National Research University)
Issue: Vol 68, No 9 (2023)
Pages: 897-903
Section: К 70-ЛЕТИЮ ИРЭ ИМ. В.А. КОТЕЛЬНИКОВА РАН
URL: https://rjsvd.com/0033-8494/article/view/650473
DOI: https://doi.org/10.31857/S0033849423090115
EDN: https://elibrary.ru/SBYWUN
ID: 650473

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Abstract

Modeling of superconducting integrated structures in the frequency range was carried out 300...750 GHz by two methods: 1) using ABCD matrices associated with each element of the circuit; 2) using the Ansys HFSS program. The surface impedance values of superconducting films are calculated numerically using expressions from the Matthies–Bardeen theory. It was found that for samples with microstrip line widths less than a quarter of the wavelength, both models are in qualitative agreement with each other and with experimental data. Shown that with an increase in the width of the lines and the geometric dimensions of other structural elements, transverse modes arise, as well as curvature of the wave front propagating along the lines waves, which causes differences between the semi-analytical and numerical calculations, which coincide with the experiment for all samples.

Keywords

surface impedance values of superconducting films, Matthies–Bardeen theory

References

Kojima T., Kroug M., Takeda M. et al. // Appl. Phys. Express 2009. V. 2. № 10. P. 102201. https://doi.org/10.1143/APEX.2.102201
De Lange G., Birk M., Boersma D. et al. // Superconductor Sci. Technol. 2010. V. 23. № 4. P. 045016. https://doi.org/10.1088/0953-2048/23/4/045016
Billade B., Pavolotsky A., Belitsky V. // IEEE Trans. 2013. V. TST-3. № 4. P. 416. https://doi.org/10.1109/TTHZ.2013.2255734
Шмидт В.В. Введение в физику сверхпроводников М.: МЦНМО, 2000.
Baksheeva K.A., Ozhegov R.V., Goltsman G.N. et al. // IEEE Trans. 2021. V. TST-11. № 4. P. 381. https://doi.org/10.1109/TTHZ.2021.3066099
Kinev N.V., Rudakov K.I., Filippenko L.V., Koshelets V.P. et al. // Phys. Solid State. 2021. V. 63. P. 1414. https://doi.org/10.1134/S1063783421090171
Barychev A.M. Superconductor–Insulator–Superconductor THz Mixer Integrated with a Superconducting Flux-Flow Oscillator. PhD thesis, Delft: Delft Univ. Technol, 2005. 144 p.
Водзяновский Я.О., Худченко А.В., Кошелец В.П. // ФТТ. 2022. Т. 64. № 10. С. 1385.
Фуско В. СВЧ цепи. М.: Радио и связь, 1990.
Frickey D.A. // IEEE Trans. 1994. V. MTT-42. № 2. P. 205. https://doi.org/10.1109/22.275248
Шевченко М.С., Филиппенко Л.В., Киселев О.С., Кошелец В.П. // ФТТ. 2022. Т. 64. № 9. С. 1223.
Koshelets V.P., Shitov S.V., Filippenko L.V. et al. // Superconducting Sci. Technol. 2004. V. 17. № 127. https://doi.org/10.1088/0953-2048/17/5/007
Koshelets V.P., Shitov S.V. // Superconductor Sci. Technol. 2000. V. 13. № 5. P. 53. https://doi.org/10.1088/0953-2048/13/5/201
Tucker J.R., Feldman M.J. // Rev. Mod. Phys. 1985. V. 57. № 4. P. 1055. https://doi.org/10.1103/RevModPhys.57.1055
Filippenko L.V., Shitov S.V., Dmitriev P.N. et al. // IEEE Trans. 2001. V. TAS-11. № 1. P. 816. https://doi.org/10.1109/77.919469
Fominsky M.Yu., Filippenko L.V., Chekushkin A.M. et al. // Electronic. 2021. V. 10. № 23. P. 2944. https://doi.org/10.3390/electronics10232944
Tolpygo S.K., Bolkhovky V., Weir T.J. et al. // IEEE Trans. 2014. V. TAS-25. № 3. P. 1. https://doi.org/10.1109/TASC.2014.2369213
Атепалихин А.А., Хан Ф.В., Филиппенко Л.В., Кошелец В.П. // ФТТ. 2022. Т. 64. № 10. С. 1378. https://doi.org/10.21883/PSS.2022.10.54219.41HH
Шитов С.В. Интегральные устройства на сверхпроводниковых туннельных переходах для приемников миллиметровых и субмиллиметровых волн. Дис. … д-ра физ.-мат. наук. М.: ИРЭ им. В.А. Котельникова РАН, 2003. 428 с.
Yassin G., Withington S. // J. Phys. D: Appl. Phys. 1995. V. 28. № 9. P. 1983. https://doi.org/10.1088/0022-3727/28/9/028
Swihart J.C. // J. Appl. Phys. 1961. V. 32. № 3. P. 461. https://doi.org/10.1063/1.1736025
Mattis D.C., Bardeen J. // Phys. Rev. 1958. V. 111. № 2. P. 412. https://doi.org/10.1103/PhysRev.111.412
Zimmermann W., Brandt E.H., Bauer M. et al. // Physica C: Superconductivity. 1991. V. 183. № 1–3. P. 99. https://doi.org/10.1016/0921-4534(91)90771-P
Pöpel R. // J. Appl. Phys. 1989. V. 66. № 12. P. 5950. https://doi.org/10.1063/1.343622
Nam S.B. // Phys. Rev. 1967. V. 156. № 2. P. 470. https://doi.org/10.1103/PhysRev.156.470
Банков С.Е., Курушин А.А., Разевиг В.Д. // Анализ и оптимизация СВЧ-структур с помощью HFSS. Учеб. пособие. М.: СОЛОН-Пресс, 2005.
Kerr A.R., Pan S.K. // Int. J. Infrared and Millimeter Waves. 1990. V. 11. № 10. P. 1169. https://doi.org/10.1007/BF01014738
Belitsky V., Risacher C., Pantaleev M., Vassilev V. // Int. J. Infrared and Millimeter Waves. 2006. V. 27. № 1. P. 809. https://doi.org/10.1007/s10762-006-9116-5