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A generalized dispersion relation is given which is not restricted by the demand of analyticity of the optical constant. Sum rules are also given with the aid of the generalized dispersion relation.
K.-E. Peiponen
"Generalized Dispersion Relation For Optical Constants", Proc. SPIE 0369, Max Born Centenary Conf, (16 June 1983); https://doi.org/10.1117/12.934445
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K.-E. Peiponen, "Generalized Dispersion Relation For Optical Constants," Proc. SPIE 0369, Max Born Centenary Conf, (16 June 1983); https://doi.org/10.1117/12.934445