Gaussian beams in inhomogeneous anisotropic layered structures

0337233 - GFÚ 2010 RIV GB eng J - Článek v odborném periodiku
Červený, V. - Pšenčík, Ivan
Gaussian beams in inhomogeneous anisotropic layered structures.
Geophysical Journal International. Roč. 180, č. 2 (2010), s. 798-812. ISSN 0956-540X. E-ISSN 1365-246X
Grant CEP: GA ČR GA205/08/0332
Grant ostatní: GA ČR(CZ) GA205/07/0032
Výzkumný záměr: CEZ:AV0Z30120515
Klíčová slova: body waves * seismic anisotropy * theoretical seismology * wave propagation
Kód oboru RIV: DC - Seismologie, vulkanologie a struktura Země
Impakt faktor: 2.411, rok: 2010

Gaussian beams, approximate solutions of elastodynamic equation concentrated close to rays of high-frequency seismic body waves, propagating in inhomogeneous anisotropic layered structures, are studied. They have Gaussian amplitude distribution along any straightline profile intersecting the ray. At any point of the ray, the Gaussian distribution of amplitudes is controlled by the 2 × 2 complex-valued symmetric matrix M of the second derivatives of the traveltime field with respect to ray-centred coordinates. Matrix M can be simply determined along the ray if the ray propagator matrix is known and if the value of M is specified at a selected point of the ray. The ray propagator matrix can be calculated along the ray by solving the dynamic ray tracing system twice: once for the real-valued initial plane-wave conditions and once for the real-valued initial point-source conditions.
Trvalý link: http://hdl.handle.net/11104/0181285