Abstract
The problem of a point-source field in an irregular impedance waveguide is solved. The 3-D inhomogeneity of one of the walls of the waveguide is given by an area-inhomogeneous impedance. To obtain a solution within the framework of the method of integral equations, we develop a procedure for asymptotic transformation of the 2-D equation into an 1-D equation with allowance for the waves reflected from all the inhomogeneity boundaries. The obtained 1-D integral equation for points that belong to both the path line and boundary contour of the inhomogeneity is solved numerically using an original algorithm. The results of model calculations in a near-earth waveguide for the case of ionospheric perturbations that are large on the wavelength scale are given.
Similar content being viewed by others
References
A. M. Gokov, A. I. Gritchin, I. I. Kapanin, et al., in: Abstracts of XVII Conf. on Propagation of Radiowaves [in Russian], Ul'yanovsk, Sections, 6, 7, and 8 (1993), p. 65.
O. V. Pakhomova and L. F. Chernogor, in: Abstracts of XVII Conf. on Propagation of Radiowaves [in Russian], Ul'yanovsk, Sections 6, 7, and 8 (1993), p. 66.
O. V. Solov'ev,Izv. Vyssh. Uchebn. Zaved., Radiofiz.,33, No. 9, 1078 (1990).
A. A. Lutchenko, L. N. Lutchenko, and N. P. Tikhomirov, in: Problems of Wave Diffraction and Propagation, Issue 23 [in Russian], State University, Leningrad (1990), p. 51.
A. G. Sveshnikov, A. N. Bogolyubov D. V. Minayev, and A. V. Sychkova,Radiotekh. Élektron. 38, No. 5, 804 (1993).
V. V. Kirillov, in: Problems of Wave Diffraction and Propagation, Issue 17 [in Russian] State University, Leningrad (1979), p. 57.
O. V. Solov'ev,Izv. Vyssh. Uchebn. Zaved., Radiofiz.,28, No. 10, 1236 (1985).
G. I. Makarov and V. V. Novikov, in: Problems of Wave Diffraction and Propagation, Issue 7 [in Russian], State University, Leningrad (1968), p. 19.
V. P. Peresada,Radiotekhnika,12, No. 9, 12 (1957).
L. Felsen and N. Markuvits,Radiation and Scattering of Waves, Vol. 1 [Russian translation], Mir, Moscow (1978).
Handbook in Special Functions (M. Abramovits, and I. Stigan, eds.) [in Russian], Nauka, Moscow (1979).
C. Wagner,J. Math. Phys.,32, No. 4, 289 (1956).
G. De Jong,Radio Sci.,10, No. 11, 925 (1975).
M. A. Itkina, D. S. Kotik, Z. N. Krotova, et al., Preprint. No. 162, NIRFI, Gorkii (1983).
Additional information
State University, St. Petersburg. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, No. 12, pp. 1312–1322, December, 1995.
Rights and permissions
About this article
Cite this article
Solov'ev, O.V., Agapov, V.V. Calculation of VLW fields in a waveguide with A 3-D local inhomogeneity. Radiophys Quantum Electron 38, 857–863 (1995). https://doi.org/10.1007/BF01039994
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01039994