Experimental and Mathematical Modeling of Thermal Diffusion in Steel Alloys via Finite Fourier Transform With In-Situ Analysis of Single and Double Pulses in Laser-Induced Breakdown Spectroscopy

Fatemah H. Alkallas; Ayman M. Mostafa; Mohamed A. Khater; Wafaa B. Elsharkawy; Ayman A.O. Younes; Reham A. Rezk; Amira Ben Gouider Trabelsi; M. A.I. Essawy

doi:10.1002/ppap.70011

Experimental and Mathematical Modeling of Thermal Diffusion in Steel Alloys via Finite Fourier Transform With In-Situ Analysis of Single and Double Pulses in Laser-Induced Breakdown Spectroscopy

Fatemah H. Alkallas, Ayman M. Mostafa, Mohamed A. Khater, Wafaa B. Elsharkawy, Ayman A.O. Younes, Reham A. Rezk, Amira Ben Gouider Trabelsi, M. A.I. Essawy

Physics

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1 Scopus citations

Abstract

This study unveils the power of laser-induced breakdown spectroscopy (LIBS) in unlocking the full potential of spatially resolved single-pulse (SP) and double-pulse (DP) configurations for high-precision elemental analysis of duplex steel alloy. Using a Q-switched Nd:YAG laser (1064 nm) in an air medium, examining plasma dynamics by local thermodynamic equilibrium conditions through emission spectral lines. Furthermore, a computational model based on laser-target interaction, thermodynamics, and heat transport to better characterize energy deposition within a steel alloy. The governing partial differential equation (PDE) of heat diffusion has been given in its dimensionless form with the appropriate initial and boundary conditions and then solved analytically with the finite Fourier cosine transform (FFCT), proving that DP-LIBS is superior in the limit of detection.

Original language	English
Article number	70011
Journal	Plasma Processes and Polymers
Volume	22
Issue number	6
DOIs	https://doi.org/10.1002/ppap.70011
State	Published - Jun 2025

Keywords

LIBS
air medium
finite Fourier cosine transform
laser ablation
optical properties
steel alloy

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10.1002/ppap.70011

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Alkallas, F. H., Mostafa, A. M., Khater, M. A., Elsharkawy, W. B., Younes, A. A. O., Rezk, R. A., Ben Gouider Trabelsi, A., & Essawy, M. A. I. (2025). Experimental and Mathematical Modeling of Thermal Diffusion in Steel Alloys via Finite Fourier Transform With In-Situ Analysis of Single and Double Pulses in Laser-Induced Breakdown Spectroscopy. Plasma Processes and Polymers, 22(6), Article 70011. https://doi.org/10.1002/ppap.70011

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title = "Experimental and Mathematical Modeling of Thermal Diffusion in Steel Alloys via Finite Fourier Transform With In-Situ Analysis of Single and Double Pulses in Laser-Induced Breakdown Spectroscopy",

abstract = "This study unveils the power of laser-induced breakdown spectroscopy (LIBS) in unlocking the full potential of spatially resolved single-pulse (SP) and double-pulse (DP) configurations for high-precision elemental analysis of duplex steel alloy. Using a Q-switched Nd:YAG laser (1064 nm) in an air medium, examining plasma dynamics by local thermodynamic equilibrium conditions through emission spectral lines. Furthermore, a computational model based on laser-target interaction, thermodynamics, and heat transport to better characterize energy deposition within a steel alloy. The governing partial differential equation (PDE) of heat diffusion has been given in its dimensionless form with the appropriate initial and boundary conditions and then solved analytically with the finite Fourier cosine transform (FFCT), proving that DP-LIBS is superior in the limit of detection.",

keywords = "LIBS, air medium, finite Fourier cosine transform, laser ablation, optical properties, steel alloy",

author = "Alkallas, \{Fatemah H.\} and Mostafa, \{Ayman M.\} and Khater, \{Mohamed A.\} and Elsharkawy, \{Wafaa B.\} and Younes, \{Ayman A.O.\} and Rezk, \{Reham A.\} and \{Ben Gouider Trabelsi\}, Amira and Essawy, \{M. A.I.\}",

note = "Publisher Copyright: {\textcopyright} 2025 Wiley-VCH GmbH.",

year = "2025",

month = jun,

doi = "10.1002/ppap.70011",

language = "English",

volume = "22",

journal = "Plasma Processes and Polymers",

issn = "1612-8850",

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Alkallas, FH, Mostafa, AM, Khater, MA, Elsharkawy, WB, Younes, AAO, Rezk, RA, Ben Gouider Trabelsi, A & Essawy, MAI 2025, 'Experimental and Mathematical Modeling of Thermal Diffusion in Steel Alloys via Finite Fourier Transform With In-Situ Analysis of Single and Double Pulses in Laser-Induced Breakdown Spectroscopy', Plasma Processes and Polymers, vol. 22, no. 6, 70011. https://doi.org/10.1002/ppap.70011

Experimental and Mathematical Modeling of Thermal Diffusion in Steel Alloys via Finite Fourier Transform With In-Situ Analysis of Single and Double Pulses in Laser-Induced Breakdown Spectroscopy. / Alkallas, Fatemah H.; Mostafa, Ayman M.; Khater, Mohamed A. et al.
In: Plasma Processes and Polymers, Vol. 22, No. 6, 70011, 06.2025.

Research output: Contribution to journal › Article › peer-review

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AU - Alkallas, Fatemah H.

AU - Mostafa, Ayman M.

AU - Khater, Mohamed A.

AU - Elsharkawy, Wafaa B.

AU - Younes, Ayman A.O.

AU - Rezk, Reham A.

AU - Ben Gouider Trabelsi, Amira

AU - Essawy, M. A.I.

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AB - This study unveils the power of laser-induced breakdown spectroscopy (LIBS) in unlocking the full potential of spatially resolved single-pulse (SP) and double-pulse (DP) configurations for high-precision elemental analysis of duplex steel alloy. Using a Q-switched Nd:YAG laser (1064 nm) in an air medium, examining plasma dynamics by local thermodynamic equilibrium conditions through emission spectral lines. Furthermore, a computational model based on laser-target interaction, thermodynamics, and heat transport to better characterize energy deposition within a steel alloy. The governing partial differential equation (PDE) of heat diffusion has been given in its dimensionless form with the appropriate initial and boundary conditions and then solved analytically with the finite Fourier cosine transform (FFCT), proving that DP-LIBS is superior in the limit of detection.

KW - LIBS

KW - air medium

KW - finite Fourier cosine transform

KW - laser ablation

KW - optical properties

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Experimental and Mathematical Modeling of Thermal Diffusion in Steel Alloys via Finite Fourier Transform With In-Situ Analysis of Single and Double Pulses in Laser-Induced Breakdown Spectroscopy

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