Meler-Fock transformations in problems of wave diffraction on unclosed structures in the time region

V. A. Doroshenko and V. G. Sologub, Radiotekh. Elektron. (Moscow) 32, 1110 (1987). V. A. Doroshenko and V. F. Kravchenko, Dokl. Akad. Nauk 375(5), 611 (2000) [Dokl. Phys. 45 (12), 659 (2000)]. V. A. Doroshenko and V. F. Kravchenko, Élektromagn. Volny Élektron. Sist. 8(6), 2 (2003). V. A. Fock, Dokl. Akad. Nauk SSSR 39(7), 279 (1943). V. A. Doroshenko and V. F. Kravchenko, Differ. Uravn. 39, 1209 (2003). O. A. Ladyzhenskaya, Boundary Value Problems of Mathematical Physics (Nauka, Moscow, 1973; Springer, New York, 1985). H. Hönl, A. W. Maue, and K. Westpfahl, in Handbuch der Physik, Ed. by S. Flügge (Springer, Berlin, 1961; Mir, Moscow, 1964), Vol. 25, p. 218. K.-K. Chan and L. B. Felsen, IEEE Trans. Antennas, Propag. 25(6), 802 (1977). V. A. Doroshenko, Usp. Sovrem. Radioélektron., No. 5, 41 (2005). V. P. Shestopalov, Methods of Solving Riemann-Hilbert Problem in the Diffraction Theory and Electromagnetic-Wave Transmission (Izd. Kharkov Univ., Kharkov, 1971) [in Russian]. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, 1973; Mir, Moscow, 1978).