ON THE SOLUTION TO THE PROPAGATION PROBLEM FOR THE LOCALLY IRREGULAR WAVE-GUIDE

In the scalar approximation the problem is reduced to a surface integral equation over bounded region. The irregularity of a boundary of the waveguide is described by the non-uniform surface impedance. The two-dimensional integral equation is reduced asymptotically to the equation which contains only one-dimensional integrals. By this, the waves reflected from both the transverse and longitudinal boundaries of the impedance irregularity are taken into account. Flat-earth and spherical-earth models of the Earth-ionosphere waveguide are considered.