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Bibliographic Details
Main Authors: Bityurin, Nikita, Sapogova, Natalia
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2409.06370
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author Bityurin, Nikita
Sapogova, Natalia
author_facet Bityurin, Nikita
Sapogova, Natalia
contents The evolution of surface layers of a glassy material heated by a laser pulse above the glass transition temperature and cooled by heat diffusion is considered as the flow of a stretchable viscous fluid. The strong dependence of viscosity on temperature and pressure leads to the appearance of a hump with reduced density. This hydrodynamic model for laser swelling is formulated in general form. We present a 1D solution for laser swelling of a thin glassy polymer film on a strongly thermally conductive substrate for laser pulses long enough that the sound confinement effect can be neglected. It is shown that within this condition the evolution of the film thickness over time can be addressed using a second-order ordinary differential equation. It is also shown that in some cases this equation can be reduced to a first-order differential equation resembling the phenomenological equation of the previously published relaxation model of laser swelling. The main features of the dependence of laser swelling on laser fluence, namely the threshold at low fluencies and saturation at high fluencies, have been clarified allowing for the dependence of viscosity on pressure, which was not taken into account in the previous theoretical studies of laser swelling. Typical regimes of the film thickness evolution are considered and compared to existing experimental data.
format Preprint
id arxiv_https___arxiv_org_abs_2409_06370
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hydrodynamic model for laser swelling
Bityurin, Nikita
Sapogova, Natalia
Optics
The evolution of surface layers of a glassy material heated by a laser pulse above the glass transition temperature and cooled by heat diffusion is considered as the flow of a stretchable viscous fluid. The strong dependence of viscosity on temperature and pressure leads to the appearance of a hump with reduced density. This hydrodynamic model for laser swelling is formulated in general form. We present a 1D solution for laser swelling of a thin glassy polymer film on a strongly thermally conductive substrate for laser pulses long enough that the sound confinement effect can be neglected. It is shown that within this condition the evolution of the film thickness over time can be addressed using a second-order ordinary differential equation. It is also shown that in some cases this equation can be reduced to a first-order differential equation resembling the phenomenological equation of the previously published relaxation model of laser swelling. The main features of the dependence of laser swelling on laser fluence, namely the threshold at low fluencies and saturation at high fluencies, have been clarified allowing for the dependence of viscosity on pressure, which was not taken into account in the previous theoretical studies of laser swelling. Typical regimes of the film thickness evolution are considered and compared to existing experimental data.
title Hydrodynamic model for laser swelling
topic Optics
url https://arxiv.org/abs/2409.06370