Open AccessOn impulsive wave propagation in a spherically symmetric model
Author(s) -
Chapman C. H.
Publication year - 1979
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1979.tb01020.x
Subject(s) - slowness , seismogram , legendre function , legendre polynomials , mathematical analysis , mathematics , function (biology) , geology , seismology , evolutionary biology , biology
Summary Slowness methods have been widely used to study impulsive wave propagation and to compute synthetic seismograms. The generalized ray method and WKBJ seismograms are examples. When applied to a spherically symmetric model, asymptotic or numerical approximations have been used for the Legendre function. In this note it is pointed out that an analytic inverse transform exists for the Legendre function. This can be used when the waveslowness integral is real but cannot be used in the generalized ray method.