Modal analysis of spatial pattern formation in fused silica under ultraviolet irradiation

Document Type

Article

Publication Date

12-1-2016

Abstract

Focused laser light is used as part of the photolithography process. Finer-resolution applications demand smallerwavelength light, but this higher-energy light causes compaction of the lens glass. This changes its index of refraction, eventually rendering the lens unusable. The underlying model requires the use of Maxwell's equations with a varying index of refraction coupled to a nonlinear constitutive compaction law. By modeling the light wave in the paraxial limit, one obtains a nonlocal partial integrodifferential equation for the amplitude. Stability analysis is performed in the steady and quasi-steady cases, and the results show how the instability depends on physical parameters in the problem. The results compare favorably with experimental analyses of the failure length and time scales and provide simple laws connecting the relevant failure scales.

Identifier

84982816207 (Scopus)

Publication Title

Journal of the Optical Society of America B Optical Physics

External Full Text Location

https://doi.org/10.1364/JOSAB.33.001709

e-ISSN

15208540

ISSN

07403224

First Page

1709

Last Page

1715

Issue

12

Volume

33

Grant

1261591

Fund Ref

National Science Foundation

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