Open AccessModes to replace transitional asymptotic ray fields in a vertically inhomogeneous earth model
Author(s) -
Niver E.,
Kamel A.,
Felsen L. B.
Publication year - 1985
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.1985.tb05096.x
Subject(s) - caustic (mathematics) , homogeneous , truncation (statistics) , earth model , geology , mathematical analysis , geometry , geophysics , physics , mathematics , statistical physics , statistics
Summary. Asymptotic ray theory (ART) fails in transition regions near critically reflected, bottom glancing or caustic‐forming rays in a vertically inhomogeneous layered earth. These deficiencies are repaired here by replacing the transitional ray fields with guided modes plus truncation remainders. Exact ray‐mode equivalences and their high‐frequency asymptotic approximations are formulated, and their validity and efficiency are verified by numerical comparisons for SH motion in a two‐layer earth model comprised of an inhomogeneous sediment above an homogeneous semi‐infinite bedrock.