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The electromagnetic field of an array of superconducting antennas. (English. Russian original) Zbl 0822.65110

Phys.-Dokl. 38, No. 12, 493-494 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 6, 725-726 (1993).
For the first time, we analyze the electromagnetic field of an array of superconducting antennas. In the analysis we use an approach in which integral equations for the surface electric or magnetic currents are considered. By changing to a system of linear algebraic equations, using the method of moments, one can construct a better approximate solution. In the case of plane and cylindrical infinite equidistant superconducting arrays, a simple solution is obtained using the discrete Fourier transformation and the convolution theorem. The result obtained is an explicit expression for the directivity of a superconducting antenna array.

MSC:

65Z05 Applications to the sciences
65N38 Boundary element methods for boundary value problems involving PDEs
82D55 Statistical mechanics of superconductors
78A50 Antennas, waveguides in optics and electromagnetic theory
35Q60 PDEs in connection with optics and electromagnetic theory
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