Internal Stress Prediction and Measurement of Mid-Infrared Multilayer Thin Films

We present an experimental method for evaluating interfacial force per width and predicting internal stress in mid-infrared band-pass filters (MIR-BPF). The interfacial force per width between the two kinds of thin-film materials was obtained by experimental measurement values, and the residual stre...

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Main Authors: Chuen-Lin Tien, Kuan-Po Chen, Hong-Yi Lin
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/14/5/1101
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author Chuen-Lin Tien
Kuan-Po Chen
Hong-Yi Lin
author_facet Chuen-Lin Tien
Kuan-Po Chen
Hong-Yi Lin
author_sort Chuen-Lin Tien
collection DOAJ
description We present an experimental method for evaluating interfacial force per width and predicting internal stress in mid-infrared band-pass filters (MIR-BPF). The interfacial force per width between the two kinds of thin-film materials was obtained by experimental measurement values, and the residual stress of the multilayer thin films was predicted by the modified Ennos formula. A dual electron beam evaporation system combined with ion-assisted deposition was used to fabricate mid-infrared band-pass filters. The interfacial forces per width for Ge/SiO<sub>2</sub> and SiO<sub>2</sub>/Ge were 124.9 N/m and 127.6 N/m, respectively. The difference between the measured stress and predicted stress in the 23-layer MIR-BPF was below 0.059 GPa. The residual stresses of the four-layer film, as well as the 20-layer and 23-layer mid-infrared band-pass filter, were predicted by adding the interface stress to the modified Ennos formula. In the four-layer film, the difference between the predicted value and the measured stress of the HL (high–low refractive index) and LH (low–high refractive index) stacks were −0.384 GPa for (HL)<sup>2</sup> and −0.436 GPa for (LH)<sup>2</sup>, respectively. The predicted stress and the measured stress of the 20-layer mid-infrared filter were −0.316 GPa and −0.250 GPa. The predicted stress and the measured stress of the 23-layer mid-infrared filter were −0.257 GPa and −0.198 GPa, respectively.
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spelling doaj.art-de8f177ceb94411b999deb3dd269e9a12023-12-11T18:39:09ZengMDPI AGMaterials1996-19442021-02-01145110110.3390/ma14051101Internal Stress Prediction and Measurement of Mid-Infrared Multilayer Thin FilmsChuen-Lin Tien0Kuan-Po Chen1Hong-Yi Lin2Department of Electrical Engineering, Feng Chia University, Taichung 40724, TaiwanDepartment of Electrical Engineering, Feng Chia University, Taichung 40724, TaiwanElectrical and Communications Engineering, Feng Chia University, Taichung 40724, TaiwanWe present an experimental method for evaluating interfacial force per width and predicting internal stress in mid-infrared band-pass filters (MIR-BPF). The interfacial force per width between the two kinds of thin-film materials was obtained by experimental measurement values, and the residual stress of the multilayer thin films was predicted by the modified Ennos formula. A dual electron beam evaporation system combined with ion-assisted deposition was used to fabricate mid-infrared band-pass filters. The interfacial forces per width for Ge/SiO<sub>2</sub> and SiO<sub>2</sub>/Ge were 124.9 N/m and 127.6 N/m, respectively. The difference between the measured stress and predicted stress in the 23-layer MIR-BPF was below 0.059 GPa. The residual stresses of the four-layer film, as well as the 20-layer and 23-layer mid-infrared band-pass filter, were predicted by adding the interface stress to the modified Ennos formula. In the four-layer film, the difference between the predicted value and the measured stress of the HL (high–low refractive index) and LH (low–high refractive index) stacks were −0.384 GPa for (HL)<sup>2</sup> and −0.436 GPa for (LH)<sup>2</sup>, respectively. The predicted stress and the measured stress of the 20-layer mid-infrared filter were −0.316 GPa and −0.250 GPa. The predicted stress and the measured stress of the 23-layer mid-infrared filter were −0.257 GPa and −0.198 GPa, respectively.https://www.mdpi.com/1996-1944/14/5/1101internal stressinterfacial forcemultilayer thin filmband-pass filter
spellingShingle Chuen-Lin Tien
Kuan-Po Chen
Hong-Yi Lin
Internal Stress Prediction and Measurement of Mid-Infrared Multilayer Thin Films
Materials
internal stress
interfacial force
multilayer thin film
band-pass filter
title Internal Stress Prediction and Measurement of Mid-Infrared Multilayer Thin Films
title_full Internal Stress Prediction and Measurement of Mid-Infrared Multilayer Thin Films
title_fullStr Internal Stress Prediction and Measurement of Mid-Infrared Multilayer Thin Films
title_full_unstemmed Internal Stress Prediction and Measurement of Mid-Infrared Multilayer Thin Films
title_short Internal Stress Prediction and Measurement of Mid-Infrared Multilayer Thin Films
title_sort internal stress prediction and measurement of mid infrared multilayer thin films
topic internal stress
interfacial force
multilayer thin film
band-pass filter
url https://www.mdpi.com/1996-1944/14/5/1101
work_keys_str_mv AT chuenlintien internalstresspredictionandmeasurementofmidinfraredmultilayerthinfilms
AT kuanpochen internalstresspredictionandmeasurementofmidinfraredmultilayerthinfilms
AT hongyilin internalstresspredictionandmeasurementofmidinfraredmultilayerthinfilms