Electromagnetics of superconducting structures and its application to the problems of antenna and waveguide technique

Authors

  • Victor F. Kravchenko Kotelnikov Institute of Radio Engineering and Electronics, RAS, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.1997.1235101

Abstract

The present report is devoed to developing the electromagnetic theory of superconducting structures and its application to the technique of the microwave band. The actuality of the given problem lies in the fact that nowadays there is no any acceptable mathematical methods, by means of which it would be possible to investigate in sufficient details and give designers of the radioelectronic equipment the practical recommendations on solving the internal and exterior boundary value problems, associated with excitation, scattering and propagation of electromagnetic waves on the superconducting (SC) objects of simple and complex shape.

References

Shoenberg, D. Superconductivity. Cambridge University Press, 1962.

London, F., Superfluids, Vol. 1. New York: Dover Publications. Inc., 1950.

London, F. and London, H., Proc. Roy. Soc., 1935, vol. A149, p. 71.

Andryushin, E. A., Ginzburg, V. L., and Silin, A. P., On the Boundary Conditions in the Macroscopic Theory of Superconductivity. Usp. Phys. Nauk, 1993, vol. 163, No. 9 (in Russian).

Superconductivity, Superdiamagnetism, Superfluidity. Edited by V. L. Ginzburg, Moscow: Mir Publishers, 1987 (in Russian).

High-Temperature Superconductivity. Edited by V. L. Ginzburg and D. A. Kirzhnits, Consult. Bureau, London, 1982.

Mende, F. F. and Spitsyn, A. I., Surface Impedance of Superconductors. Kiev: Naukova Dumka, 1985 (in Russian).

Jian-Guo Ma and Ingo Wolff, Modeling the Microwave Properties of Superconductors. IEEE MTT, May 1995, vol. 43, no. 5, pp. 1053-1059.

Jian-Guo Ma and Ingo Wolff, Electromagnetics in High-Tc Superconductors. IEEE MTT, April 1996, vol. 44, no. 4, pp. 537-542.

Nathan Newman and W. Gregory Lyons, High-Temperature Superconducting Microwave Devices: Fundamental Issues in Materials, Physics, and Engineering. Journal of Superconductivity, 1993, vol. 6, no. 3, pp. 119-160.

Mohamed A. Megahed and Samir M. El.- Ghazaly, Nonlinear Analysis of Microwave Superconductor Devices Using Full-Wave Electromagnetic Model. IEEE MTT, November 1995, vol. 43, no. 11, pp. 2590-2599.

Kravchenko, V. F., Application of Spectral Theory to the Internal and External Boundary Value Problems of Exitation, Scattering, and Propagation of Electromagnetic Waves in Various Superconducting Structures. Abstracts Sommerfeld ’96-Workshop, Modem Mathematical Methods in Diffraction Theory and Its Applications in Engineering, Ed. E. Meister, Preprint-Nr. 1988, Freudenstadt, Schwarzwald, 30 September - 4 October 1996, p. 25.

Kravchenko, V. F., Andrusenko, A. M., and Belyantsev, 1.1., On the Diffraction of Electromagnetic Waves on Superconducting Bands. Dokl. Akad. Nauk USSR, 1975, Ser. A, no. 5, pp. 440-443.

Kravchenko, V. F., Andrusenko, A. M., Bogomolov, A. S., and Mende F. F., On the Interaction of Electromagnetic Waves with a Superconductor and on the Analysis of Superconducting Waveguide Characteristics in the SHF Range. Radiotekhnika i Electronika, 1979, vol. 24, no. 6, p. 1078.

Gandel’, Yu. V., Kravchenko, V. F., and Pustovoit, V. I., Scattering of Electromagnetic Waves by a Thin Superconducting Band. Doklady Mathematics, 1996, vol. 54, no. 3, pp. 959-961. (Translated from Dokl. Acad. Nauk, 1996, vol. 351, pp. 462-464).

Gandel’, Yu. V., Kravchenko, V. F. and Morozova, N. N., Diffraction of Electromagnetic Waves on Superconducting Thin Stripes Grating, Electromagnetic Waves and Electronic Systems, Moscow, Publishing House of Journal “Radiotekhnika”, 1997, vol. 2, no. 2, pp. 15-27.

Kravchenko, V. F., Excitation of a Superconducting Spherical Resonator by a Dipole in the Center of the Sphere. Dokl. Akad. Nauk USSR, 1982, Ser. A, no. l, pp. 63-66.

Kravchenko, V. F., Rvachev, V. L., and Taldykin, I. V., On a Method of Electromagnetic Boundary Value Problem Solution for the Complex Shape Inhomogeneous Impedance Region. Dokl. Akad. Nauk SSSR, 1988, vol. 302, no. 1, pp. 72-74.

Kravchenko, V. F., Excitation and Scattering of Electromagnetic Waves on the Inhomogeneous Impedance Bodies with Rotational Symmetry. Dokl. Akad. Nauk SSSR, 1989, vol. 309, no. 3, pp. 594-598.

Kravchenko, V. F. and Chaplin, A. F. On the Excitation of Superconducting Impedance Plane. Dokl. Akad. Nauk SSSR, 1992, vol. 326, no. 2, pp. 272-275.

Kravchenko, V. F. and Chaplin, A. F., Excitation of Superconducting Circular and Elliptic Cylinder. Dokl. Akad. Nauk SSSR, 1992, vol. 326, no. 4, pp. 633-636.

Kravchenko, V. F. and Chaplin, A. F., Axially Symmetric Excitation of a Superconducting Sphere. Dokl. Akad. Nauk, 1992, vol. 327, no. 2, pp. 208-211.

Kravchenko, V. F. and Bogomolov, A. S., Electromagnetic Characteristics of Complex Shape Resonator with Impedance Walls. Izmeritel'naya Tekhnika, 1992, no. 2, pp. 49-50.

Kravchenko, V. F. Scattering of Electromagnetic Waves by a Superconducting Cylinder. Dokl. Akad. Nauk, 1993, vol. 328, no. 2, pp. 178-180.

Kravchenko, V. F., Rvachev, V. L. and Chaplin, A. F., Electromagnetic Field of Superconducting Antenna Arrays. Dokl. Akad. Nauk, 1993, vol. 333, no. 6, pp. 725-726.

Kravchenko, V. F. and Nefedov, E. I., On the Reflection of a Plane Electromagnetic Wave by Superconducting Plane and the Generalization of Fresnel's Formula. Dokl. Akad. Nauk, 1994, vol. 336, no. 5, pp. 599-600.

Kravchenko, V. F. and Erofeenko, V. T., Diffraction of Electromagnetic Waves on a Thin Superconducting Cylindrical Shells. Dokl. Akad. Nauk, 1994, vol. 337, no. 1, pp. 25-27.

Kravchenko, V. F., Erofeenko, V. T., and Pustovoit, V. I., Diffraction of Electromagnetic Waves on Two Hallow of Superconducting Spherical Shells. Dokl. Akad. Nauk, 1994, vol. 339, no. 2, pp. 166-170.

Kravchenko, V. F., Erofeenko, V. T., and Kryuchkov, A. N., Addition Theorems for Basis Electromagnetic Fields. Telecommunications and Radio Engineering, 1995, 49(10), pp. 97-108.

Kravchenko, V. F., Erofeenko, V. T., and Pustovoit, V. I., Electromagnetic Field Structure of a Magnetic Dipole on a Superconducting Thin Disk. Doklady Mathematics, 1995, vol. 52, no. 2, pp. 278-281.

Kravchenko, V. F. and Erofeenko, V. T., Excitation by a Vertical Electric Dipole of Two Superconducting Thin Discs. Radiotekhnika (Electromagnetic Waves, no. 3) 1995, no. 12, pp. 43-48.

Kravchenko, V. F. and Kazarov, A. B., Excitation of Supercondactive Waveguides and Resonators. Radiotekhnika (Electromagnetic Waves, no. 3), 1995, no. 6, pp. 58-65.

Kravchenko, V. F. and Kazarov, A. B., About the Excitation of Superconducting Waveguides and Solid Resonators, The 15-th URSI International Symposium on Electromagnethic Theory, St. Peterburg, Russia, May 23-26, 1995, pp. 806-808.

Kravchenko, V. F., Method for Determination of the Speed of Light Based on the Impedance Measurements of Superconductors. Radiotekhnika (Electromagnetic Waves, no. 4), 1995, no. 12, pp. 108-117.

Kravchenko, V. F., Erofeenko, V. T., and Lu Bao Lin, Diffraction of Hoctromagnctic Waves on Superconducting Thin Shells with Moving Media. Doklady Mathematics, 1996, vol. 53, no. l, pp. 109-112.

Kravchenko, V. F., Kazarov, A. B., and Pustovoit, V. I., On a Method of Improvement of the Surface Impedance of Superconductors by Means of Superconducting Cylindrical Resonator. Dokl. Akad. Nauk, 1995, vol. 345, no. 4, pp. 472-474.

Kravchenko, V. F., Kazarov, A. B., and Pustovoit, V. I., Determination of the Main Electromagnetic Characteristics of Superconducting Microstrip Resonators. Dokl. Akad. Nauk, 1996, vol. 348, no. 2, pp. 188-190.

Kravchenko, V. F., Kazarov, A. B., Electromagnetic Wave Interaction with High- Temperature Superconducting Film Located on a Substrate. Radiotekhnika (Electromagnitnye volny no. 3), no. 8, 1996, pp. 47-50.

Kravchenko, V. F., Likhachev, V. M., and Stashkevich, A. I., An Asymptotic Method for Solving Uie Boundary Value Problem of the Excitation of an Impedance Wedge. Dokl. Acad. Nauk SSSR, 1989, vol. 308, pp. 329-334.

Kravchenko, V. F., Likhachev, V. M., and Stashkevich, A. I., Polarization Structure of the Field of Diffraction of Electromagnetic Waves on Angular Structures with Impedance. Dokl. Acad. Nauk SSSR, 1991, vol. 318, pp. 1148-1153.

Kravchenko, V. F., Kazarov, A. B., and Pustovoit, V. I., Excitation of the Rough Superconducting Wedge by a Filamentary Source. Radiotekhnika, 1997, no. 1, pp. 57-63.

Kravchenko, V. F. and Tyutyukin, R. G., New Method for Determination the Electromagnetical Characteristics of the Superconducting Disk Being Excitated by Electrical Dipole. Radiotekhnika, 1997, no. 2, pp. 8-16.

Kravchenko, V. F. and Kazarov, A. B., Electromagnetical Characteristics of Superconducting Disk Open Resonators. Dokl. Acad. Nauk, 1997, to be published.

Kravchenko, V. F. and Kazarov, A. B., Superconducting Open Resonators with Plane Rectangular and Circular Mirrors. Radiotekhnika, 1997, no. 9, to be published.

Published

1997-05-24