A Self Healing Model Based on Polymer-Mediated Chromophore Correlations

Abstract

Here we present a model of self healing in which correlations between chromophores, as mediated by the polymer, are key to the recovery process. Our model determines the size distribution of the correlation volume using a grand canonical ensemble through a free energy advantage parameter. Choosing a healing rate that is proportional to the number of undamaged molecules in a correlated region, and a decay rate proportional to the intensity normalized to the correlation volume, the ensemble average is shown to correctly predict decay and recovery of the population of disperse orange 11-DO11 (1-amino-2-methylanthraquinone) molecules doped in PMMA polymer as a function of time and concentration as measured with amplified spontaneous emission and linear absorption spectroscopy using only three parameters that apply to the full set of data. Our model also predicts the temperature dependence of the process. One set of parameters should be characteristic of a particular polymer and dopant chromophore combination. Thus, use of the model in determining these parameters for various materials systems should provide the data needed to test fundamental models of the underlying mechanism responsible for self healing.

10 pages, 13 figures

References in corpus (6)

• Mechanisms of reversible photodegradation in disperse orange 11 dye doped in PMMA polymer
• Imaging Studies of photodamage and self-healing in disperse orange 11 dye-doped PMMA
• Two-photon fluorescence measurements of reversible photodegradation in a dye-doped polymer
• Exact results and mean field approximation for a model of molecular aggregation
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• Determination of the magnetic domain size in the ferromagnetic superconductor UGe2 by three dimensional neutron depolarization

Cited by in corpus (9)

• Self-healing organic-dye-based random lasers
• Random Lasing and Reversible Photodegradation in Disperse Orange 11 Dye-Doped PMMA with Dispersed ZrO${}_2$ Nanoparticles
• Spectroscopic studies of the mechanism of reversible photodegradation of 1-substituted aminoanthraquinone-doped polymers
• Generalizing the correlated chromophore domain model of reversible photodegradation to include the effects of an applied electric field
• The influence of an electric field on photodegradation and self healing in disperse orange 11 dye-doped PMMA thin films
• The effect of pump depletion on reversible photodegradation
• Mechanisms of the refractive index change in DO11/PMMA due to photodegradation
• Wavelength dependence of reversible photodegradation of disperse orange 11 dye-doped PMMA thin films
• A White Light Interferometric Microscope for Measuring Dose-Dependent Reversible Photodegradation