Open AccessOn the information content of natural frequency spectra associated with different angular numbers
Author(s) -
Barcilon Victor
Publication year - 1978
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.1978.tb03764.x
Subject(s) - slowness , spectral line , vibration , natural number , angular velocity , wavenumber , physics , natural (archaeology) , order (exchange) , mathematical analysis , mathematics , computational physics , acoustics , geology , optics , classical mechanics , combinatorics , quantum mechanics , paleontology , finance , economics
summary . The problem of inferring the speed of sound in a contained spherically symmetric fluid solely from its natural frequencies of vibration is considered. An investigation of the case in which the data consist of the two spectra associated with the angular numbers 0 and 1, suggests the possibility that a one‐parameter family of slowness profiles can be constructed. These profiles are compatible with the data, up to first order in the non‐uniformity of the fluid. It is conjectured that for other angular numbers, the loss of information increases as the difference between them increases.