# Normal Modes of a Laterally Heterogeneous Body : a One-dimensional Example

@inproceedings{Geller2005NormalMO, title={Normal Modes of a Laterally Heterogeneous Body : a One-dimensional Example}, author={Robert J Geller and Seth Stein}, year={2005} }

- Published 2005

Various methods, including firstand second-order perturbation theory and variational methods have been proposed for calculating the normal modes of a laterally heterogeneous earth. In this paper, we test all three of these methods for a simple one-dimensional example for which the exact solution is available: an initially homogeneous "string" in which the density and stiffness are increased in one half and decreased in the other by equal amounts. It is found that first-order perturbation theory… CONTINUE READING