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Phys. Rev. A 69, 043818 (2004) [6 pages]

Derivation of general dispersion relations and sum rules for meromorphic nonlinear optical spectroscopy

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Kai-Erik Peiponen*, Jarkko J. Saarinen, and Yuri Svirko
Department of Physics, University of Joensuu, P.O. Box 111, FI-80101 Joensuu, Finland

Received 28 October 2003; published 27 April 2004

Dispersion relations and sum rules for nonlinear susceptibilities are derived using complex analysis and especially the concept of a meromorphic function. The dispersion relations and sum rules provide frames to investigate the consistency between the theory and experiments.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.043818
DOI:
10.1103/PhysRevA.69.043818
PACS:
42.65.An, 78.20.Ci

*Author to whom correspondence should be addressed. Electronic address: kai.peiponen@joensuu.fi