Mathematical modeling of short pulsed laser irradiation in the cornea: a dual phase lag model

• Autorzy: Autar Ram , Kumar Anuj

Identyfikatory

DOI

10.17512/jamcm.2021.3.01

• Języki publikacji: EN

Abstrakty

EN

A simple mathematical model for the temperature evolution in the cornea exposed to short-pulsed Ho: YAG laser under Laser Thermo Keratoplasty (LTK) treatment is developed by incorporating both the heat flux phase-lag and temperature gradient phase-lag in Fourier’s heat transfer model. An analytical solution to the mathematical model is obtained using the Laplace transformation technique. The computational results for the temperature profile and the temperature variation with time are presented through the graphs. The effect of some typical parameters: the heat flux phase-lag and the temperature gradient phase-lag on the temperature distribution and temperature variations are illustrated and discussed.

Słowa kluczowe

EN

temperature; laser; cornea; refractive error; Laser Thermo Keratoplasty; LTK; Laplace transformation technique; dual phase lag equation

PL

temperatura; laser; rogówka; LTK; termokeratoplastyka; refrakcja oka

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 3
• Strony: 5--16
• Opis fizyczny: Bibliogr. 22 poz., rys., tab.

Twórcy

autor

Autar Ram

• Department of Mathematics, Harcourt Butler Technical University Kanpur 208002, India

autor

Kumar Anuj

• Department of Mathematics, Harcourt Butler Technical University Kanpur 208002, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).