Nonlinear optics of quantum graphs

Rick Lytel; Shoresh Shafei; Mark G. Kuzyk

doi:10.1117/12.928886

11 October 2012 Nonlinear optics of quantum graphs

Rick Lytel, Shoresh Shafei, Mark G. Kuzyk

Proceedings Volume 8474, Optical Processes in Organic Materials and Nanostructures; 84740O (2012) https://doi.org/10.1117/12.928886
Event: SPIE Organic Photonics + Electronics, 2012, San Diego, California, United States

Abstract

Quantum graphs are graphical networks comprised of edges supporting Hamiltonian dynamics and vertices conserving probability flux. Lateral confinement of particle motion on every edge results in a quasi one-dimensional quantum-confined system for which nonlinear optical effects may be calculated. Our ongoing research program is the first to investigate the nonlinear optical properties of quantum graphs. We seek to discover configurations with intrinsic first and second hyperpolarizabilities approaching their respective fundamental limits, to explore the NLO variation with the geometry and topology of the graphs, and to develop scaling laws for more complex graphs with self-similar properties. This paper describes a new methodology for calculating the hyperpolarizabilities of a class of graphs comprised of sequentially-connected edges. Such graphs include closed-loop topologies and their geometrically-similar but topologically-different open loop cousins, as well as other bent wire graphs and their combinations.

Citation Download Citation

Rick Lytel, Shoresh Shafei, and Mark G. Kuzyk "Nonlinear optics of quantum graphs", Proc. SPIE 8474, Optical Processes in Organic Materials and Nanostructures, 84740O (11 October 2012); https://doi.org/10.1117/12.928886

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