Abstract
The Haskell's method is very useful in studying the dispersion of surface waves in multilayered media in rectangular coordinates. It is, however, difficult to extend the method to spherical coordinates. Instead of exponential functions in rectangular coordinates, we must make use of spherical Bessel functions. This is one of the difficulty we meet in the extension. This difficulty may be avoided by using the constant matrix method proposed by Frazer and others. The most complicated part in applying the constant matrix method to the study of surface waves in spherical coordinates is to calculate characteristic exponents of the matrix in each step of the numerical integration. This calculation is made in the present paper and explicit results are shown both for torsional and spheroidal (with and without gravity) oscillations of the earth.
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Schedule a callMore From: Zisin (Journal of the Seismological Society of Japan. 2nd ser.)
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