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The correct form of the Raman scattering tensor
Author(s) -
Hassing S.,
Svendsen E. Nørby
Publication year - 2004
Publication title -
journal of raman spectroscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.748
H-Index - 110
eISSN - 1097-4555
pISSN - 0377-0486
DOI - 10.1002/jrs.1105
Subject(s) - sign (mathematics) , raman scattering , tensor (intrinsic definition) , causality (physics) , constant (computer programming) , physics , ambiguity , excitation , scattering , quantum mechanics , mathematical analysis , raman spectroscopy , mathematical physics , theoretical physics , mathematics , pure mathematics , philosophy , computer science , linguistics , programming language
In the literature about Raman scattering, an unsatisfactory ambiguity exists in the basic Kramers–Heisenberg formula. The sign in front of the damping constant Γ ℓ appears to be arbitrary. In the present paper we show that the correct form is the one where Γ ℓ has the same sign as the excitation frequency ω. The argument is based on the causality principle, leading to the requirement that the real and imaginary parts of the scattering tensor constitute a pair of Hilbert transforms. Copyright © 2004 John Wiley & Sons, Ltd.