Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy

Broadband spectral measurements of the ballistic transmission of scattering samples are challenging. The presented work shows an approach that includes a broadband system and an automated adjustment unit for compensation of angular distortions caused by non-plane-parallel samples. The limits of the...

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Main Authors: Karsten Pink, Alwin Kienle, Florian Foschum
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/24/21/6993
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author Karsten Pink
Alwin Kienle
Florian Foschum
author_facet Karsten Pink
Alwin Kienle
Florian Foschum
author_sort Karsten Pink
collection DOAJ
description Broadband spectral measurements of the ballistic transmission of scattering samples are challenging. The presented work shows an approach that includes a broadband system and an automated adjustment unit for compensation of angular distortions caused by non-plane-parallel samples. The limits of the system in terms of optimal transmission and detected forward scattering influenced by the scattering phase function are investigated. We built and validated a setup that measures the collimated transmission signal in a spectral range from 300 nm to 2150 nm. The system was validated using polystyrene spheres and Mie calculations. The limits of the system in terms of optimal transmission and detected forward scattering were researched. The optimal working parameters of the system, analyzed by simulations using the Monte Carlo method, show that the transmission should be larger than 10% and less than 90% to allow for a reliable measurement with acceptable errors caused by noise and systematic errors of the system. The optimal transmission range is between 25% and 50%. We show that the phase function is important when considering the accuracy of the measurement. For strongly forward-scattering samples, errors of up to 80% can be observed, even for a very small numerical aperture of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>6.6</mn><mo>·</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>4</mn></mrow></msup></mrow></semantics></math></inline-formula>, as used in our experimental system. We also show that errors increase with optical thickness as the ballistic transmission decreases and the multiscattered fraction increases. In addition, errors caused by multiple reflections in the sample layer were analyzed and also classified as relevant for classical absorption spectroscopy.
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spelling doaj-art-6e637ad45b574206b2e27f6c12bed8f42024-11-08T14:41:47ZengMDPI AGSensors1424-82202024-10-012421699310.3390/s24216993Auto Aligning, Error-Compensated Broadband Collimated Transmission SpectroscopyKarsten Pink0Alwin Kienle1Florian Foschum2Institut für Lasertechnologien in der Medizin und Meßtechnik an der Universität Ulm, 89081 Ulm, GermanyInstitut für Lasertechnologien in der Medizin und Meßtechnik an der Universität Ulm, 89081 Ulm, GermanyInstitut für Lasertechnologien in der Medizin und Meßtechnik an der Universität Ulm, 89081 Ulm, GermanyBroadband spectral measurements of the ballistic transmission of scattering samples are challenging. The presented work shows an approach that includes a broadband system and an automated adjustment unit for compensation of angular distortions caused by non-plane-parallel samples. The limits of the system in terms of optimal transmission and detected forward scattering influenced by the scattering phase function are investigated. We built and validated a setup that measures the collimated transmission signal in a spectral range from 300 nm to 2150 nm. The system was validated using polystyrene spheres and Mie calculations. The limits of the system in terms of optimal transmission and detected forward scattering were researched. The optimal working parameters of the system, analyzed by simulations using the Monte Carlo method, show that the transmission should be larger than 10% and less than 90% to allow for a reliable measurement with acceptable errors caused by noise and systematic errors of the system. The optimal transmission range is between 25% and 50%. We show that the phase function is important when considering the accuracy of the measurement. For strongly forward-scattering samples, errors of up to 80% can be observed, even for a very small numerical aperture of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>6.6</mn><mo>·</mo><msup><mn>10</mn><mrow><mo>−</mo><mn>4</mn></mrow></msup></mrow></semantics></math></inline-formula>, as used in our experimental system. We also show that errors increase with optical thickness as the ballistic transmission decreases and the multiscattered fraction increases. In addition, errors caused by multiple reflections in the sample layer were analyzed and also classified as relevant for classical absorption spectroscopy.https://www.mdpi.com/1424-8220/24/21/6993collimated transmissionspectroscopywide spectral rangeMonte Carlo simulationpolystyrene spheresMie calculation
spellingShingle Karsten Pink
Alwin Kienle
Florian Foschum
Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy
Sensors
collimated transmission
spectroscopy
wide spectral range
Monte Carlo simulation
polystyrene spheres
Mie calculation
title Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy
title_full Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy
title_fullStr Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy
title_full_unstemmed Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy
title_short Auto Aligning, Error-Compensated Broadband Collimated Transmission Spectroscopy
title_sort auto aligning error compensated broadband collimated transmission spectroscopy
topic collimated transmission
spectroscopy
wide spectral range
Monte Carlo simulation
polystyrene spheres
Mie calculation
url https://www.mdpi.com/1424-8220/24/21/6993
work_keys_str_mv AT karstenpink autoaligningerrorcompensatedbroadbandcollimatedtransmissionspectroscopy
AT alwinkienle autoaligningerrorcompensatedbroadbandcollimatedtransmissionspectroscopy
AT florianfoschum autoaligningerrorcompensatedbroadbandcollimatedtransmissionspectroscopy