Mathematical modeling of ultrashort pulsed laser irradiation in the cornea

Abstract

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 the heat flux phase-lag in the Fourier’s heat transfer model and laser source term is described by Lambert Beer’s law. 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, convection coefficient and thermal conductivity on the temperature distribution and temperature variations are illustrated and discussed.