In nonlinear optical spectroscopy, the self-action of an intense light beam has an effect on the optical constants of a medium, which can be described in terms of a meromorphic function as defined in complex analysis. Here the dispersion theory of meromorphic optical constants is considered and general expressions for dispersion relations and sum rules are derived for meromorphic optical constants.
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Kai-Erik Peiponen∥ (2001) studied this question.
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