Establishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrate

A thickness distribution model of photoresist spin-coating on concave spherical substrate (CSS) has been developed via both theoretical studies and experimental verification. The stress of photoresist on rotating CSS is analyzed and the boundary conditions of hydrodynamic equation are presented unde...

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Main Authors: S. Yang, Bayanheshig, X. L. Zhao, S. Xing, Y. X. Jiang, N. Wu, Q. B. Jiao, W. H. Li, X. Tan
Format: Article
Language:English
Published: AIP Publishing LLC 2015-07-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4926343
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spelling doaj-f1a5896f709a4b1eaab6bb98e8d8451c2020-11-24T23:44:01ZengAIP Publishing LLCAIP Advances2158-32262015-07-0157077103077103-1010.1063/1.4926343003507ADVEstablishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrateS. Yang0Bayanheshig1X. L. Zhao2S. Xing3Y. X. Jiang4N. Wu5Q. B. Jiao6W. H. Li7X. Tan8Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, P. R. ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, P. R. ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, P. R. ChinaGLOBALFOUNDRIES Singapore Pte. Ltd, 60 Woodlands Industrial Park D Street 2, Singapore 738406Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, P. R. ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, P. R. ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, P. R. ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, P. R. ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, P. R. ChinaA thickness distribution model of photoresist spin-coating on concave spherical substrate (CSS) has been developed via both theoretical studies and experimental verification. The stress of photoresist on rotating CSS is analyzed and the boundary conditions of hydrodynamic equation are presented under the non-lubricating condition. Moreover, a multivariable polynomial equation of photoresist-layer thickness distribution is derived by analyzing and deducing the flow equation where the evaporation rate, substrate topography, interface slip between liquid and CSS, and the variation of rotational speed and photoresist parameters are considered in detail. Importantly, the photoresist-layer thickness at various CSS rotational speeds and liquid concentrations can be obtained according to the theoretical equation. The required photoresist viscosity and concentration parameters of different photoresist coating thickness under a certain coating speeds can be also solved through this equation. It is noted that the calculated theoretical values are well consistent with the experimental results which were measured with various CSS rotational speeds and liquid concentrations at steady state. Therefore, both our experimental results and theoretical analysis provide the guidance for photoresist dilution and pave the way for potential improvements and microfabrication applications in the future.http://dx.doi.org/10.1063/1.4926343
collection DOAJ
language English
format Article
sources DOAJ
author S. Yang
Bayanheshig
X. L. Zhao
S. Xing
Y. X. Jiang
N. Wu
Q. B. Jiao
W. H. Li
X. Tan
spellingShingle S. Yang
Bayanheshig
X. L. Zhao
S. Xing
Y. X. Jiang
N. Wu
Q. B. Jiao
W. H. Li
X. Tan
Establishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrate
AIP Advances
author_facet S. Yang
Bayanheshig
X. L. Zhao
S. Xing
Y. X. Jiang
N. Wu
Q. B. Jiao
W. H. Li
X. Tan
author_sort S. Yang
title Establishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrate
title_short Establishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrate
title_full Establishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrate
title_fullStr Establishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrate
title_full_unstemmed Establishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrate
title_sort establishment and experimental verification of the photoresist model considering interface slip between photoresist and concave spherical substrate
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2015-07-01
description A thickness distribution model of photoresist spin-coating on concave spherical substrate (CSS) has been developed via both theoretical studies and experimental verification. The stress of photoresist on rotating CSS is analyzed and the boundary conditions of hydrodynamic equation are presented under the non-lubricating condition. Moreover, a multivariable polynomial equation of photoresist-layer thickness distribution is derived by analyzing and deducing the flow equation where the evaporation rate, substrate topography, interface slip between liquid and CSS, and the variation of rotational speed and photoresist parameters are considered in detail. Importantly, the photoresist-layer thickness at various CSS rotational speeds and liquid concentrations can be obtained according to the theoretical equation. The required photoresist viscosity and concentration parameters of different photoresist coating thickness under a certain coating speeds can be also solved through this equation. It is noted that the calculated theoretical values are well consistent with the experimental results which were measured with various CSS rotational speeds and liquid concentrations at steady state. Therefore, both our experimental results and theoretical analysis provide the guidance for photoresist dilution and pave the way for potential improvements and microfabrication applications in the future.
url http://dx.doi.org/10.1063/1.4926343
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