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Polymers 2014, 6(2), 552-564; doi:10.3390/polym6020552
Article

Optimal Focusing and Scaling Law for Uniform Photo-Polymerization in a Thick Medium Using a Focused UV Laser

1
 and 2,*
Received: 5 December 2013; in revised form: 13 February 2014 / Accepted: 14 February 2014 / Published: 21 February 2014
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Abstract: We present a modeling study of photoinitiated polymerization in a thick polymer-absorbing medium using a focused UV laser. Transient profiles of the initiator concentration at various focusing conditions are analyzed to define the polymerization boundary. Furthermore, we demonstrate the optimal focusing conditions that yield more uniform polymerization over a larger volume than the collimated or non-optimal cases. Too much focusing with the focal length f < f* (an optimal focal length) yields a fast process; however, it provides a smaller polymerization volume at a given time than in the optimal focusing case. Finally, a scaling law is derived and shows that f* is inverse proportional to the product of the extinction coefficient and the initiator initial concentration. The scaling law provides useful guidance for the prediction of optimal conditions for photoinitiated polymerization under a focused UV laser irradiation. The focusing technique also provides a novel and unique means for obtaining uniform photo-polymerization within a limited irradiation time.
Keywords: photo-polymerization; focused UV laser; scaling law photo-polymerization; focused UV laser; scaling law
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Lin, J.-T.; Cheng, D.-C. Optimal Focusing and Scaling Law for Uniform Photo-Polymerization in a Thick Medium Using a Focused UV Laser. Polymers 2014, 6, 552-564.

AMA Style

Lin J-T, Cheng D-C. Optimal Focusing and Scaling Law for Uniform Photo-Polymerization in a Thick Medium Using a Focused UV Laser. Polymers. 2014; 6(2):552-564.

Chicago/Turabian Style

Lin, Jui-Teng; Cheng, Da-Chuan. 2014. "Optimal Focusing and Scaling Law for Uniform Photo-Polymerization in a Thick Medium Using a Focused UV Laser." Polymers 6, no. 2: 552-564.


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