Abstract
Superconducting integrated structures are simulated in a frequency range of 300–750 GHz using two methods: (i) ABCD matrices related to each element of the circuit and (ii) Ansys HFSS software. The surface impedance of superconducting films is numerically calculated using expressions from the Mattis–Bardeen theory. For samples with microstrip line widths of less than one quarter of the wavelength, both models are in qualitative agreement with each other and with experimental data. It is shown that an increase in the width of the lines and the geometric dimensions of other circuit elements leads to generation of transverse modes and non-plane wave front of waves propagating along the lines, which causes discrepancy between the semi-analytical and numerical calculations, while the latter are in agreement with the experiment for all samples.
REFERENCES
T. Kojima, M. Kroug, M. Takeda, et al., Appl. Phys. Express 2, 102201 (2009). https://doi.org/10.1143/APEX.2.102201
G. De Lange, M. Birk, D. Boersma, et al., Superconductor Sci. Technol. 23, 045016 (2010). https://doi.org/10.1088/0953-2048/23/4/045016
B. Billade, A. Pavolotsky, and V. Belitsky, IEEE Trans. on Terahertz Sci. & Technol. 3, 416 (2013). https://doi.org/10.1109/TTHZ.2013.2255734
V. V. Schmidt, Introduction to the Physics of Superconductors (MTsNMO, Moscow, 2000).
K. A. Baksheeva, R. V. Ozhegov, G. N. Goltsman, et al., IEEE Trans. on Terahertz Sci. & Technol. 11 (4), 381 (2021). https://doi.org/10.1109/TTHZ.2021.3066099
N. V. Kinev, K. I. Rudakov, L. V. Filippenko, V. P. Koshelets, et al., Phys. Solid State 63, 1414 (2021). https://doi.org/10.1134/S1063783421090171
A. M. Barychev, “Superconductor-Insulator-Superconductor THz Mixer Integrated with a Superconducting Flux-Flow Oscillator,” PhD Thesis, (Delft Univ. Technol., Delft, 2005).
Ya. O. Vodzyanovskii, A. V. Khudchenko, and V. P. Koshelets, FTT. 64, 1385 (2022).
V. Fusko, Microwave Circuits (Prentice-Hall Collection Inlibrary, Englewood Cliffs, 1987; Radio i Svyaz’, Moscow, 1990).
D. A. Frickey, IEEE Trans. Microwave Theory Tech. (T-MTT) 42 (2), 205 (1994). https://doi.org/10.1109/22.275248
M. S. Shevchenko, L. V. Filippenko, O. S. Kiselev, and V. P. Koshelets, FTT 64, 1223 (2022).
V. P. Koshelets, S. V. Shitov, L. V. Filippenko, et al., Superconducting Sci. Technol. 17 (127) (2004). https://doi.org/10.1088/0953-2048/17/5/007
V. P. Koshelets and S. V. Shitov, Superconductor Sci. Technol. 13 (5), 53 (2000). https://doi.org/10.1088/0953-2048/13/5/201
J. R. Tucker and M. J. Feldman, Rev. Mod. Phys. 57 (4), 1055 (1985). https://doi.org/10.1103/RevModPhys.57.1055
L. V. Filippenko, S. V. Shitov, P. N. Dmitriev, et al., IEEE Trans. Appl. Supercond. 11 (1), 816 (2001). https://doi.org/10.1109/77.919469
M. Yu. Fominsky, L. V. Filippenko, A. M. Chekushkin, et al., Electronic. 10 (23), 2944 (2021). https://doi.org/10.3390/electronics10232944
S. K. Tolpygo, V. Bolkhovky, T. J. Weir, et al., IEEE Trans. Appl. Supercond. 25 (3), 1 (2014). https://doi.org/10.1109/TASC.2014.2369213
A. A. Atepalikhin, F. V. Khan, L. V. Filippenko, and V. P. Koshelets, FTT. 64, 1378 (2022).
S. V. Shitov, “Integral devices at superconducting tunnel junctions for millimeter and submillimeter wave receivers,” Doctoral Disssertation (Phys. Math) (IRE im. V. A. Kotel’nikova RAN, Moscow, 2003).
G. Yassin and S. Withington, J. Phys. D: Appl. Phys. 28 (9), 1983 (1995). https://doi.org/10.1088/0022-3727/28/9/028
J. C. Swihart, J. Appl. Phys. 32 (3), 461 (1961). https://doi.org/10.1063/1.1736025
D. C. Mattis and J. Bardeen, Phys. Rev. 111 (2), 412 (1958). https://doi.org/10.1103/PhysRev.111.412
W. Zimmermann, E. H. Brandt, M. Bauer, et al., Physica C: Superconductivity 183 (1–3), 99 (1991). https://doi.org/10.1016/0921-4534(91)90771-P
R. Pöpel, J. Appl. Phys. 66 (12), 5950 (1989). https://doi.org/10.1063/1.343622
S. B. Nam, Phys. Rev. 156 (2), 470 (1967). https://doi.org/10.1103/PhysRev.156.470
S. E. Bankov, A. A. Kurushin, and V. D. Razevig, Analysis and Optimization of Three-dimensional Microwave Structures with the Help of HFSS. Manual (Solon, Moscow, 2005) [in Russian].
A. R. Kerr and S. K. Pan, Int. J. Infrared & Millimeter Waves 11 (10), 1169 (1990). https://doi.org/10.1007/BF01014738
V. Belitsky, C. Risacher, M. Pantaleev, and V. Vassilev, Int. J. Infrared and Millimeter Waves 27 (1), 809 (2006). https://doi.org/10.1007/s10762-006-9116-5
ACKNOWLEDGMENTS
The authors are grateful for the access to the unique scientific unit “Cryointegral” (USU no. 352529), which was used for preparation of samples and measurements.
Funding
The development and study of the structures was supported by the Russian Science Foundation, project no. 23-79-00019, https://rscf.ru/project/23-79-00019/. Numerical calculations were carried out within the framework of the state task at Kotelnikov IREE of RAS. The operation of USU “Cryointegral” was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement RF-2296.61321X0041.
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Translated by A. Chikishev
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Khan, F.V., Atepalikhin, A.A., Filippenko, L.V. et al. Comparison of Methods for Calculation of Superconducting Integrated Structures Using Semi-Analytical Calculation and 3D Numerical Simulation. J. Commun. Technol. Electron. 68, 983–988 (2023). https://doi.org/10.1134/S1064226923090115
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DOI: https://doi.org/10.1134/S1064226923090115