REFRACTIVE INDEX DETERMINATION FOR A PLANE DIELECTRIC LAYER USING THE MEASUREMENTS OF TRANSMITTED BEAM INTENSITY

The aim of the present work is the theoretical justification of new refractive index determination technique for a homogeneous transparent plane dielectric layer. It uses intensity measurements for two polarizations of transmitting electromagnetic beam and does not take into consideration phase rela...

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Main Authors: V. M. Serdyuk, J. A. Titovitsky
Format: Article
Language:English
Published: Belarusian National Technical University 2017-02-01
Series:Приборы и методы измерений
Subjects:
Online Access:https://pimi.bntu.by/jour/article/view/288
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author V. M. Serdyuk
J. A. Titovitsky
author_facet V. M. Serdyuk
J. A. Titovitsky
author_sort V. M. Serdyuk
collection DOAJ
description The aim of the present work is the theoretical justification of new refractive index determination technique for a homogeneous transparent plane dielectric layer. It uses intensity measurements for two polarizations of transmitting electromagnetic beam and does not take into consideration phase relationships and phase parameters of testing field at unknown thickness of a layer.For this purpose, the layer transmission energy coefficients for two linear polarizations of an electromagnetic beam, orthogonal and parallel to the plane of incidence, are studied to be dependent on the layer thickness and its refractive index. We have found the function of energy transmission coefficients for these polarizations, which does not depend on the layer thickness and is characterized bIt is shown that this function provides the opportunity to determine the layer refractive index uniquely. It can be made analytically using the inverse function, and also with the help of experimental calibration technique for the initial function. The influence of losses on the method efficiency is investigated, and it is established, that the presence of absorption causes appearance of separated zones of refractive index variation, where the method becomes inoperative. However, at absorption index values of the order of 10–5 the method can be applied, but in the bounded domain of refractive index variation.So, it is established that the proposed methods provides the opportunity to determine the refractive index of a plane dielectric layer under conditions of low and null value of absorption using the intensity measurements for two orthogonal polarizations of transmitting electromagnetic radiation.
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issn 2220-9506
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publisher Belarusian National Technical University
record_format Article
series Приборы и методы измерений
spelling doaj-art-fdb250c2718c466c9b364cf610519ef52025-02-03T11:28:26ZengBelarusian National Technical UniversityПриборы и методы измерений2220-95062414-04732017-02-0181556010.21122/2220-9506-2017-8-1-55-60266REFRACTIVE INDEX DETERMINATION FOR A PLANE DIELECTRIC LAYER USING THE MEASUREMENTS OF TRANSMITTED BEAM INTENSITYV. M. Serdyuk0J. A. Titovitsky1A.N. Sevchenko Research Institute of Applied Physical Problems, Belarusian State UniversityA.N. Sevchenko Research Institute of Applied Physical Problems, Belarusian State UniversityThe aim of the present work is the theoretical justification of new refractive index determination technique for a homogeneous transparent plane dielectric layer. It uses intensity measurements for two polarizations of transmitting electromagnetic beam and does not take into consideration phase relationships and phase parameters of testing field at unknown thickness of a layer.For this purpose, the layer transmission energy coefficients for two linear polarizations of an electromagnetic beam, orthogonal and parallel to the plane of incidence, are studied to be dependent on the layer thickness and its refractive index. We have found the function of energy transmission coefficients for these polarizations, which does not depend on the layer thickness and is characterized bIt is shown that this function provides the opportunity to determine the layer refractive index uniquely. It can be made analytically using the inverse function, and also with the help of experimental calibration technique for the initial function. The influence of losses on the method efficiency is investigated, and it is established, that the presence of absorption causes appearance of separated zones of refractive index variation, where the method becomes inoperative. However, at absorption index values of the order of 10–5 the method can be applied, but in the bounded domain of refractive index variation.So, it is established that the proposed methods provides the opportunity to determine the refractive index of a plane dielectric layer under conditions of low and null value of absorption using the intensity measurements for two orthogonal polarizations of transmitting electromagnetic radiation.https://pimi.bntu.by/jour/article/view/288refractive index measurementenergy transmission coefficientstransparent dielectriclow absorptiony monotonic dependence on its refractive index
spellingShingle V. M. Serdyuk
J. A. Titovitsky
REFRACTIVE INDEX DETERMINATION FOR A PLANE DIELECTRIC LAYER USING THE MEASUREMENTS OF TRANSMITTED BEAM INTENSITY
Приборы и методы измерений
refractive index measurement
energy transmission coefficients
transparent dielectric
low absorptiony monotonic dependence on its refractive index
title REFRACTIVE INDEX DETERMINATION FOR A PLANE DIELECTRIC LAYER USING THE MEASUREMENTS OF TRANSMITTED BEAM INTENSITY
title_full REFRACTIVE INDEX DETERMINATION FOR A PLANE DIELECTRIC LAYER USING THE MEASUREMENTS OF TRANSMITTED BEAM INTENSITY
title_fullStr REFRACTIVE INDEX DETERMINATION FOR A PLANE DIELECTRIC LAYER USING THE MEASUREMENTS OF TRANSMITTED BEAM INTENSITY
title_full_unstemmed REFRACTIVE INDEX DETERMINATION FOR A PLANE DIELECTRIC LAYER USING THE MEASUREMENTS OF TRANSMITTED BEAM INTENSITY
title_short REFRACTIVE INDEX DETERMINATION FOR A PLANE DIELECTRIC LAYER USING THE MEASUREMENTS OF TRANSMITTED BEAM INTENSITY
title_sort refractive index determination for a plane dielectric layer using the measurements of transmitted beam intensity
topic refractive index measurement
energy transmission coefficients
transparent dielectric
low absorptiony monotonic dependence on its refractive index
url https://pimi.bntu.by/jour/article/view/288
work_keys_str_mv AT vmserdyuk refractiveindexdeterminationforaplanedielectriclayerusingthemeasurementsoftransmittedbeamintensity
AT jatitovitsky refractiveindexdeterminationforaplanedielectriclayerusingthemeasurementsoftransmittedbeamintensity