From universal properties to cascading: using sum rules for developing broad principles and understanding phenomena

Mark G. Kuzyk; David S. Watkins; Nathan J. Dawson; Benjamin R. Anderson; Jennifer L. Schei

doi:10.1117/12.929307

19 October 2012 From universal properties to cascading: using sum rules for developing broad principles and understanding phenomena

Mark G. Kuzyk, David S. Watkins, Nathan J. Dawson, Benjamin R. Anderson, Jennifer L. Schei

Author Affiliations +

Proceedings Volume 8474, Optical Processes in Organic Materials and Nanostructures; 84740M (2012) https://doi.org/10.1117/12.929307
Event: SPIE Organic Photonics + Electronics, 2012, San Diego, California, United States

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.

Citation Download Citation

Mark G. Kuzyk, David S. Watkins, Nathan J. Dawson, Benjamin R. Anderson, and 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); https://doi.org/10.1117/12.929307

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