A Convenient Way to Determine the Optimum Angle of Incidence of Fizeau Interferometer

In a Fizeau interferometer, off-axis illumination will lead to fringe optimization. Primarily due to the unique structure of our interferometer, we first analyze the influence of the optical properties of the parallel plate as a part of the interferometer on the optimal incident angle. Generally, th...

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Autores principales: Bowen Du, Yuquan Zheng, Chao Lin, Hang Zhang
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Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:53b90602315f408faa8e5925cb7913c92021-11-25T16:35:09ZA Convenient Way to Determine the Optimum Angle of Incidence of Fizeau Interferometer10.3390/app1122106782076-3417https://doaj.org/article/53b90602315f408faa8e5925cb7913c92021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/22/10678https://doaj.org/toc/2076-3417In a Fizeau interferometer, off-axis illumination will lead to fringe optimization. Primarily due to the unique structure of our interferometer, we first analyze the influence of the optical properties of the parallel plate as a part of the interferometer on the optimal incident angle. Generally, the incident angle determination is mainly based on the graphing method proposed by Langenbeck and the estimation formula proposed by Kajava. However, Langenbeck’s method is cumbersome, and the error of Kajava’s estimation formula is large. Based on the predecessors, this paper proposes a modified method of determining the optimal angle of incidence and further derives more accurate optimal angle expressions than Kajava’s. By simply substituting the wedge angle of the wedge cavity and the reflectivity of the cavity, the optimum incidence angle can be obtained immediately. Thus, it eliminates the tedious and complex process of finding the optimum incident angle by graphing method and makes the formula method the simplest method to find the optimum incident angle. Finally, the comparison of the interference intensity at the optimum incidence angle calculated by the improved method and normal incidence is given. It is found that the beam has a good suppression effect on the sub-peak when it is incident at the optimum incident angle calculated by the method in this paper.Bowen DuYuquan ZhengChao LinHang ZhangMDPI AGarticleFizeau interferometermulti-beam interferencefringe optimizationspectrometerthe optimum incidence angleTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10678, p 10678 (2021)
institution DOAJ
collection DOAJ
language EN
topic Fizeau interferometer
multi-beam interference
fringe optimization
spectrometer
the optimum incidence angle
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle Fizeau interferometer
multi-beam interference
fringe optimization
spectrometer
the optimum incidence angle
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Bowen Du
Yuquan Zheng
Chao Lin
Hang Zhang
A Convenient Way to Determine the Optimum Angle of Incidence of Fizeau Interferometer
description In a Fizeau interferometer, off-axis illumination will lead to fringe optimization. Primarily due to the unique structure of our interferometer, we first analyze the influence of the optical properties of the parallel plate as a part of the interferometer on the optimal incident angle. Generally, the incident angle determination is mainly based on the graphing method proposed by Langenbeck and the estimation formula proposed by Kajava. However, Langenbeck’s method is cumbersome, and the error of Kajava’s estimation formula is large. Based on the predecessors, this paper proposes a modified method of determining the optimal angle of incidence and further derives more accurate optimal angle expressions than Kajava’s. By simply substituting the wedge angle of the wedge cavity and the reflectivity of the cavity, the optimum incidence angle can be obtained immediately. Thus, it eliminates the tedious and complex process of finding the optimum incident angle by graphing method and makes the formula method the simplest method to find the optimum incident angle. Finally, the comparison of the interference intensity at the optimum incidence angle calculated by the improved method and normal incidence is given. It is found that the beam has a good suppression effect on the sub-peak when it is incident at the optimum incident angle calculated by the method in this paper.
format article
author Bowen Du
Yuquan Zheng
Chao Lin
Hang Zhang
author_facet Bowen Du
Yuquan Zheng
Chao Lin
Hang Zhang
author_sort Bowen Du
title A Convenient Way to Determine the Optimum Angle of Incidence of Fizeau Interferometer
title_short A Convenient Way to Determine the Optimum Angle of Incidence of Fizeau Interferometer
title_full A Convenient Way to Determine the Optimum Angle of Incidence of Fizeau Interferometer
title_fullStr A Convenient Way to Determine the Optimum Angle of Incidence of Fizeau Interferometer
title_full_unstemmed A Convenient Way to Determine the Optimum Angle of Incidence of Fizeau Interferometer
title_sort convenient way to determine the optimum angle of incidence of fizeau interferometer
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/53b90602315f408faa8e5925cb7913c9
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