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In organic molecules, the strength of the linear and nonlinear optical response scales depends on the size of the structure. Power-laws that correlate the length of a structure and its nonlinear structure have been proposed by different researchers. These power-laws are described as function of the number of repeating units, and are derived from the experimental characterization of one set of homologue compounds. Typically, every set of homologues has been reported to obey a different power-law. We show how the sum rules allow to derive universal scaling power-laws that apply to all structures and are in agreement with the experimental data. Using the concept of universal scaling, we propose a classification of the scaling behavior that can be used to determine what are the best molecular paradigms for future nonlinear optical applications.
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Javier Perez-Moreno, "Universal scaling in nonlinear optical molecules," Proc. SPIE 9564, Light Manipulating Organic Materials and Devices II, 956407 (5 September 2015); https://doi.org/10.1117/12.2187633