Open AccessSome Asymptotic Properties of the Normal Modes of the Earth
Author(s) -
Gilbert Freeman
Publication year - 1975
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.1975.tb06208.x
Subject(s) - stratification (seeds) , planar , mathematical analysis , physics , toroid , normal mode , constant (computer programming) , phase velocity , plane (geometry) , mathematics , wavenumber , geometry , optics , acoustics , plasma , seed dormancy , botany , germination , computer graphics (images) , quantum mechanics , dormancy , computer science , vibration , biology , programming language
Summary At constant wave number and very high frequency, there are three asymptotic sequences of eigenfrequencies for spheroidal ( n S l ) modes. Each sequence is formally equivalent to one of the three body waves; PKIKP , ScS or J. Toroidal ( n T l ) modes have two sequences; ScS or J , and radial ( n S o ) modes have one; PKIKP . At constant phase velocity and very high frequency the coefficient matrices for spherical stratification and plane stratification are equivalent if the ray parameter, p , in a spherical Earth and the ray parameter, q , in a planar Earth have the relation p = qr.