This research is based on a theoretical analysis of thermal radiation, the fundamental laws of Planck and Kirchhoff, and multispectral processing methods using nonlinear models. Accurate high-temperature measurement is a major challenge in many scientific and industrial fields, including thermal processes, metallurgy, energy, and fundamental research. Planck’s law gives de relation between radiation, temperature ant wavelength. That low can be used to determine temperature by pyrometry method. Besides Planck’s law for the black body multiplied by the emissivity will gives the expression of the real body. Uncertainty in emissivity is the main source of error in conventional pyrometric measurements. In our case, the polynomial model of emissivity only goes up to the second order. To reduce the influence of emissivity and improve measurement reliability, several approaches have been developed, including monochromatic, bichromatic, and multispectral pyrometry based on Planck's law. The characteristics of chromatic luminance in the near and mid-infrared bands highlight the high potential of pyrometry for measuring high temperatures in complex environments. Compared to traditional approaches, this pyrometry technology offers greater robustness to variations in emissivity and environmental uncertainties. Luminance across the infrared spectral band and a temperature range provides improved linearity. This linearity highlights the strength of using infrared radiation for remote temperature sensing. The mid-infrared zone offers greater stability and a closer relationship between luminance, temperature, and wavelength in temperature detection for oxidized steel.
| Published in | Journal of Electrical and Electronic Engineering (Volume 14, Issue 3) |
| DOI | 10.11648/j.jeee.20261403.11 |
| Page(s) | 129-134 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2026. Published by Science Publishing Group |
Wavelength, Pyrometry, Spectrum, Temperature, Luminance, Emissivity, Infrared
Near infrared | Mid infrared |
|---|---|
0.8 μm - 2.5 μm | 2.5 μm - 25 μm |
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APA Style
Ezekel, R. P., Razafindratsira, T., Elisee, R. (2026). Efficiency of Multispectral Pyrometer Technology in the Infrared Spectral Band According to Planck's Law on the Real Body in the Case of Oxidized Steels. Journal of Electrical and Electronic Engineering, 14(3), 129-134. https://doi.org/10.11648/j.jeee.20261403.11
ACS Style
Ezekel, R. P.; Razafindratsira, T.; Elisee, R. Efficiency of Multispectral Pyrometer Technology in the Infrared Spectral Band According to Planck's Law on the Real Body in the Case of Oxidized Steels. J. Electr. Electron. Eng. 2026, 14(3), 129-134. doi: 10.11648/j.jeee.20261403.11
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Download@article{10.11648/j.jeee.20261403.11,
author = {Ratianarivo Paul Ezekel and Tiavina Razafindratsira and Rastefano Elisee},
title = {Efficiency of Multispectral Pyrometer Technology in the Infrared Spectral Band According to Planck's Law on the Real Body in the Case of Oxidized Steels},
journal = {Journal of Electrical and Electronic Engineering},
volume = {14},
number = {3},
pages = {129-134},
doi = {10.11648/j.jeee.20261403.11},
url = {https://doi.org/10.11648/j.jeee.20261403.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20261403.11},
abstract = {This research is based on a theoretical analysis of thermal radiation, the fundamental laws of Planck and Kirchhoff, and multispectral processing methods using nonlinear models. Accurate high-temperature measurement is a major challenge in many scientific and industrial fields, including thermal processes, metallurgy, energy, and fundamental research. Planck’s law gives de relation between radiation, temperature ant wavelength. That low can be used to determine temperature by pyrometry method. Besides Planck’s law for the black body multiplied by the emissivity will gives the expression of the real body. Uncertainty in emissivity is the main source of error in conventional pyrometric measurements. In our case, the polynomial model of emissivity only goes up to the second order. To reduce the influence of emissivity and improve measurement reliability, several approaches have been developed, including monochromatic, bichromatic, and multispectral pyrometry based on Planck's law. The characteristics of chromatic luminance in the near and mid-infrared bands highlight the high potential of pyrometry for measuring high temperatures in complex environments. Compared to traditional approaches, this pyrometry technology offers greater robustness to variations in emissivity and environmental uncertainties. Luminance across the infrared spectral band and a temperature range provides improved linearity. This linearity highlights the strength of using infrared radiation for remote temperature sensing. The mid-infrared zone offers greater stability and a closer relationship between luminance, temperature, and wavelength in temperature detection for oxidized steel.},
year = {2026}
}
TY - JOUR T1 - Efficiency of Multispectral Pyrometer Technology in the Infrared Spectral Band According to Planck's Law on the Real Body in the Case of Oxidized Steels AU - Ratianarivo Paul Ezekel AU - Tiavina Razafindratsira AU - Rastefano Elisee Y1 - 2026/05/11 PY - 2026 N1 - https://doi.org/10.11648/j.jeee.20261403.11 DO - 10.11648/j.jeee.20261403.11 T2 - Journal of Electrical and Electronic Engineering JF - Journal of Electrical and Electronic Engineering JO - Journal of Electrical and Electronic Engineering SP - 129 EP - 134 PB - Science Publishing Group SN - 2329-1605 UR - https://doi.org/10.11648/j.jeee.20261403.11 AB - This research is based on a theoretical analysis of thermal radiation, the fundamental laws of Planck and Kirchhoff, and multispectral processing methods using nonlinear models. Accurate high-temperature measurement is a major challenge in many scientific and industrial fields, including thermal processes, metallurgy, energy, and fundamental research. Planck’s law gives de relation between radiation, temperature ant wavelength. That low can be used to determine temperature by pyrometry method. Besides Planck’s law for the black body multiplied by the emissivity will gives the expression of the real body. Uncertainty in emissivity is the main source of error in conventional pyrometric measurements. In our case, the polynomial model of emissivity only goes up to the second order. To reduce the influence of emissivity and improve measurement reliability, several approaches have been developed, including monochromatic, bichromatic, and multispectral pyrometry based on Planck's law. The characteristics of chromatic luminance in the near and mid-infrared bands highlight the high potential of pyrometry for measuring high temperatures in complex environments. Compared to traditional approaches, this pyrometry technology offers greater robustness to variations in emissivity and environmental uncertainties. Luminance across the infrared spectral band and a temperature range provides improved linearity. This linearity highlights the strength of using infrared radiation for remote temperature sensing. The mid-infrared zone offers greater stability and a closer relationship between luminance, temperature, and wavelength in temperature detection for oxidized steel. VL - 14 IS - 3 ER -
Electronic Department, Polytechnical High School of Antsirabe, Antsirabe, Madagascar
Biography: Ratianarivo Paul Ezekel is a professer at Polytechnical High School of Antsirabe, Vakinankaratra University, Electronic Engineering Department. He completed his PhD in Electronic Divices et Systems Engineering from Antananarivo University in 2018, and his Master of Engineering in Automatic Electronic Systems from Polytechnical High School of Antananarivo in 2010. Recognized for his exceptional contri-butions, Dr.Ratianarivo Paul Ezekel has been known as the chef department of electronic engineering.
Research Fields: Electronic system, Instrumentation, Embedded systems, programmable system, spintronic.
Electronic Department, Polytechnical High School of Antsirabe, Antsirabe, Madagascar
Biography: Tiavina Razafindratsira is a student at Polytechnical High School of Antsirabe, Vakinankaratra University, Electronic Engineering Department where he has followed his Master engineering formation. He is continuing his PhD in Electronic Divices et Systems Engineering at Unirversity of Antananarivo since December 2025. Recognized for his exceptional contributions, Tiavina Razafindratsira has been known as a responsible student.
Research Fields: Electronic system, Instrumentation, Embedded systems.
Electronic Department, Polytechnical High School of Antananarivo, Antananarivo, Madagascar
Biography: Rastefano Elisee is a professer at Polytechnical High School of Antananarivo, and Doctoral School of Science ond Technology of Engi-neering and Innovation, University of Antananarivo, Electronic Engineering Department. As a teacher, he is the founder of electronic engineer-ing formation in Madagascar. Recognized for his exceptional contributions, RASTEFANO Elisée has been known as the chef department of electronic engineering at Polytechnical High School of Antananarivo during long time and head of the doctoral reception team of embedded sys-tems, instrumentation, electronic system modeling.
Research Fields: Semiconductor, electronic system, signal processing, spintronic.
Figure 1. Radiation emitted for Oxidized Steel at a wavelength of 0.9 μm.
Figure 2. Radiation emitted for Oxidized Steel at a wavelength of 1.35 μm.
Figure 3. Radiation emitted for Oxidized Steel at a wavelength of 1.75 μm.
Figure 4. Radiation emitted for Oxidized Steel at a wavelength of 2.25 μm.
Figure 5. Radiation emitted for Oxidized Steel at a wavelength of 3μm.
Figure 6. Radiation emitted for Oxidized Steel at a wavelength of 6μm.
Figure 7. Radiation emitted for Oxidized Steel at a wavelength of 11 μm.
Figure 8. Radiation emitted for Oxidized Steel at a wavelength of 14 μm.
Figure 9. Radiation emitted for Oxidized Steel at a wavelength of 18 μm.
Figure 10. Radiation emitted for Oxidized Steel at a wavelength of 22 μm.
Figure 11. Radiation emitted for Oxidized Steel at a wavelength of 24 μm.
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