Kravchenko, V. F.; Rvachev, V. L.; Chaplin, A. F. 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 Keywords:integral equation method; electromagnetic field; superconducting antennas; method of moments; discrete Fourier transformation PDFBibTeX XMLCite \textit{V. F. Kravchenko} et al., Phys.-Dokl. 38, No. 12, 1 (1993; Zbl 0822.65110); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 6, 725--726 (1993)