G.M.Ivanchenko Focussing of rays of non-plane discontinuity wave on the free boundary of transversally isotropic elastic medium |
Acoustic bulletin, Vol. 6 ¹ 2, (2003) |
| The problem of reorganization of fronts of quasi-primary and quasi-secondary waves of strong discontinuity formed by interaction of a non-planar non-stationary wave with a free parabolic surface of elastic transversally isotropic medium is solved with the use of zero approximation of the ray method. For solution of the nonlinear Snell's equations a synthesis of the method of continuation of solution on the parameter and the Newton's algorithm was used. The effects of scattering and focussing of non-stationary waves as special cases of the front bifurcation and formation of caustics are analyzed. |
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KEY WORDS: zero approximation of the ray method, waves of strong discontinuity, transversally isotropic medium, Snell's equations, caustics |
| TEXT LANGUAGE: Ukrainian |