Open AccessThe explicit crustal transfer function for SH ‐waves by ray theory — the case of one and two layers
Author(s) -
Huang H. L.,
Wang C.
Publication year - 1981
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.1981.tb06944.x
Subject(s) - recursion (computer science) , transfer function , reflection (computer programming) , function (biology) , dispersion (optics) , attenuation , surface (topology) , plane (geometry) , transfer (computing) , mathematical analysis , geology , physics , optics , geometry , computer science , mathematics , algorithm , evolutionary biology , parallel computing , electrical engineering , biology , programming language , engineering
Summary. Previous theoretical studies on the transfer function of crustal plane surface layers have been primarily based on applying recursion formulae to the solutions of wave equations. In this way the detailed physical insight of the transfer function is often obscure and it is very difficult to express the transfer function in an explicit form. To show that this situation can be improved by an alternative approach, we demonstrate in this paper with models of one and two surface layers that the explicit transfer function can be derived by summing multiple‐reflected rays between interfaces. Since the derived transfer function is related explicitly to some physical parameters, such as wave travel times between interfaces, reflection and transmission coefficients at the interfaces, and attenuation and dispersion of waves in each layer of the model, it is more flexible than the traditional recursion form when applied to different models. This suggests that the ray theory can play an important role in problems of layered media.