# A non-linear equation from photopolymerization kinetics

Source: [A non-linear equation from photopolymerization kinetics](<https://www.sota2.com/research/paper/68fa20917a2b558e29331e76>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T22:25:32.160Z

Authors: M. L. Glasser

Published: 2006-11-30T06:08:00.000Z

## Abstract

In a medium where a photoreactive species produces N equally photoreactive radicals, by combining the Lambert-Beer law for the decay of light intensity, as a beam propagates into the medium, with the kinetic equation, one obtains a generalization of the Wegscheider equation from photobleaching theory. It is shown that this equation can be solved exactly, but implicitly, and can be reduced to a first order ordinary differential equation in a single reduced variable.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/physics/0611296>)

[PDF](<https://arxiv.org/pdf/physics/0611296.pdf>)