Title :
A combined method in calculating the field in a waveguide, initiated by a point source
Author :
Kirpichnikova, N.Ya. ; Philippov, V.B. ; Vlasyuk, N.G.
Author_Institution :
Dept. of the Math. Inst., Acad. of Sci., St. Petersburg, Russia
Abstract :
The two-dimensional problem of propagation of waves, raised by a point source, in an interior wave guide is investigated. The Dirichlet (Neumann) boundary condition is given on the upper (lower) bound of the wave guide. The possibility of representation of the exact solution as a sum of the geometro-optical waves, the normal waves and the residual is shown. The sufficient conditions on the general amount of the detached normal and geometro-optical waves are obtained. The residual is expressed by the simple formula.
Keywords :
acoustic field; acoustic waveguides; oceanography; underwater acoustic propagation; waveguide theory; Dirichlet boundary condition; Neumann boundary condition; combined method; detached normal waves; geometro-optical waves; interior waveguide; lower bound; normal waves; point source; propagation; residual; sufficient conditions; two-dimensional problem; upper bound; waves; Absorption; Acoustic propagation; Acoustic waves; Boundary conditions; Equations; Frequency; Interference; Irrigation; Polynomials; Radio access networks;
Conference_Titel :
Day on Diffraction, 2002. Proceedings. International Seminar
Print_ISBN :
5-7997-0469-X
DOI :
10.1109/DD.2002.1177894
