Polystyrene Microsphere Optical Properties by Kubelka–Munk and Diffusion Approximation with a Single Integrating Sphere System: A Comparative Study

The optical properties of 1 μm polystyrene in the wavelength range of 500–750 nm were estimated by using a white light spectrophotometric transmittance spectroscopy and a single integrating sphere system. To retrieve the optical characteristics, two analytical methods, namely, diffusion approximatio...

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Main Authors: Ali Shahin, Wesam Bachir, Moustafa Sayem El-Daher
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Spectroscopy
Online Access:http://dx.doi.org/10.1155/2019/3406319
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author Ali Shahin
Wesam Bachir
Moustafa Sayem El-Daher
author_facet Ali Shahin
Wesam Bachir
Moustafa Sayem El-Daher
author_sort Ali Shahin
collection DOAJ
description The optical properties of 1 μm polystyrene in the wavelength range of 500–750 nm were estimated by using a white light spectrophotometric transmittance spectroscopy and a single integrating sphere system. To retrieve the optical characteristics, two analytical methods, namely, diffusion approximation and Kubelka–Munk were used, and then their results were compared with Mie theory calculations. The correspondence of the Kubelka–Munk scattering coefficient with Mie was obvious, and relative errors varied between 6.73% and 2.66% whereas errors varied between 6.87% and 3.62% for diffusion theory. Both analytical methods demonstrated the absorption property of polystyrene over the abovementioned wavelength range. Although absorption coefficient turned out to be much lower than scattering, constructing a realistic optical phantom requires taking into account absorption property of polystyrene. Complex refractive index of polystyrene based on these two methods was determined. Inverse Mie algorithm with scattering coefficient was also used to retrieve the real part of refractive index and absorption coefficient for calculating the imaginary part of refractive index. The relative errors of the real part did not exceed 2.6%, and the imaginary part was in consistence with the prior works. Finally, the presented results confirm the validity of diffusion theory with a single integrating sphere system.
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institution Kabale University
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spelling doaj-art-6cdd48042ba64edc8b9806e103cf74092025-02-03T06:12:19ZengWileyJournal of Spectroscopy2314-49202314-49392019-01-01201910.1155/2019/34063193406319Polystyrene Microsphere Optical Properties by Kubelka–Munk and Diffusion Approximation with a Single Integrating Sphere System: A Comparative StudyAli Shahin0Wesam Bachir1Moustafa Sayem El-Daher2Biomedical Photonics Laboratory, Higher Institute for Laser Research and Applications, Damascus University, Damascus, SyriaBiomedical Photonics Laboratory, Higher Institute for Laser Research and Applications, Damascus University, Damascus, SyriaHigher Institute for Laser Research and Applications, Damascus University, Damascus, SyriaThe optical properties of 1 μm polystyrene in the wavelength range of 500–750 nm were estimated by using a white light spectrophotometric transmittance spectroscopy and a single integrating sphere system. To retrieve the optical characteristics, two analytical methods, namely, diffusion approximation and Kubelka–Munk were used, and then their results were compared with Mie theory calculations. The correspondence of the Kubelka–Munk scattering coefficient with Mie was obvious, and relative errors varied between 6.73% and 2.66% whereas errors varied between 6.87% and 3.62% for diffusion theory. Both analytical methods demonstrated the absorption property of polystyrene over the abovementioned wavelength range. Although absorption coefficient turned out to be much lower than scattering, constructing a realistic optical phantom requires taking into account absorption property of polystyrene. Complex refractive index of polystyrene based on these two methods was determined. Inverse Mie algorithm with scattering coefficient was also used to retrieve the real part of refractive index and absorption coefficient for calculating the imaginary part of refractive index. The relative errors of the real part did not exceed 2.6%, and the imaginary part was in consistence with the prior works. Finally, the presented results confirm the validity of diffusion theory with a single integrating sphere system.http://dx.doi.org/10.1155/2019/3406319
spellingShingle Ali Shahin
Wesam Bachir
Moustafa Sayem El-Daher
Polystyrene Microsphere Optical Properties by Kubelka–Munk and Diffusion Approximation with a Single Integrating Sphere System: A Comparative Study
Journal of Spectroscopy
title Polystyrene Microsphere Optical Properties by Kubelka–Munk and Diffusion Approximation with a Single Integrating Sphere System: A Comparative Study
title_full Polystyrene Microsphere Optical Properties by Kubelka–Munk and Diffusion Approximation with a Single Integrating Sphere System: A Comparative Study
title_fullStr Polystyrene Microsphere Optical Properties by Kubelka–Munk and Diffusion Approximation with a Single Integrating Sphere System: A Comparative Study
title_full_unstemmed Polystyrene Microsphere Optical Properties by Kubelka–Munk and Diffusion Approximation with a Single Integrating Sphere System: A Comparative Study
title_short Polystyrene Microsphere Optical Properties by Kubelka–Munk and Diffusion Approximation with a Single Integrating Sphere System: A Comparative Study
title_sort polystyrene microsphere optical properties by kubelka munk and diffusion approximation with a single integrating sphere system a comparative study
url http://dx.doi.org/10.1155/2019/3406319
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AT wesambachir polystyrenemicrosphereopticalpropertiesbykubelkamunkanddiffusionapproximationwithasingleintegratingspheresystemacomparativestudy
AT moustafasayemeldaher polystyrenemicrosphereopticalpropertiesbykubelkamunkanddiffusionapproximationwithasingleintegratingspheresystemacomparativestudy