19 October 2012 From universal properties to cascading: using sum rules for developing broad principles and understanding phenomena
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Abstract
Sum rules are used to develop a broad understanding of light-matter interactions through investigations of universal properties and are applied to specific phenomena to gain insights into the underlying fundamental processes. We discuss universal properties associated with the third-order nonlinear-optical response and show how microscopic cascading – where two molecules interact through their hyperpolarizabilities to yield a second hyperpolarizability – must obey these same universal properties. In addition, we discuss how the sum rules imply more exotic classes of Hamiltonians and their consistency with physical laws, which may partially explain the difference between the sum-rule-derived fundamental limits and observations.
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Mark G. Kuzyk, Mark G. Kuzyk, David S. Watkins, David S. Watkins, Nathan J. Dawson, Nathan J. Dawson, Benjamin R. Anderson, Benjamin R. Anderson, Jennifer L. Schei, Jennifer L. Schei, } "From universal properties to cascading: using sum rules for developing broad principles and understanding phenomena", Proc. SPIE 8474, Optical Processes in Organic Materials and Nanostructures, 84740M (19 October 2012); doi: 10.1117/12.929307; https://doi.org/10.1117/12.929307
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