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Appendix D
Author(s) -
Jan Thorbecke
Publication year - 1995
Publication title -
acta psychiatrica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.849
H-Index - 146
eISSN - 1600-0447
pISSN - 0001-690X
DOI - 10.1111/j.1600-0447.1995.tb05933.x
Subject(s) - citation , computer science , appendix , information retrieval , library science , psychology , biology , paleontology
From wave theory analysis it is known that many wave field operators have an exact expression in the wavenumber-frequency domain for laterally homogeneous isotropic media. For example, the extrapolation and elastic decomposition operators have both a simple analytical expression in the wavenumber-frequency domain. The spatial equivalents of these operators are often complex expressions (if they exist at all) and are not decaying in amplitude for larger offsets. From a computational point of view long spatial operators are not desired because multiplication in the wavenumber-frequency domain is replaced by a convolution in the space-frequency domain. In this Appendix we will consider a method for calculating an optimized short spatial operator by transforming, in a non standard way, the expression of the operator in the wavenumber-frequency domain back to the space-frequency domain. This method is explained with the decomposition operators at the receiver side as a leading example.