On the hyperbolic Pennes equation description of the heat pulse-human cornea interaction

TL;DR

This paper introduces a hyperbolic Pennes equation to model laser-induced heat transfer in the human cornea, demonstrating finite thermal energy propagation speed for ultra-short pulses, unlike traditional models.

Contribution

The paper formulates and solves a hyperbolic Pennes equation for corneal heat transfer, providing a more accurate model for ultra-short laser pulses.

Findings

Finite velocity of thermal energy propagation for ultra-short pulses

Hyperbolic model differs significantly from parabolic Pennes equation

Enhanced understanding of laser-corneal interactions

Abstract

In this paper laser heating of human cornea is investigated. The new heat transport equation in cornea -hyperbolic Pennes equation is formulated and solved. It is shown that for ultra-short laser pulses the thermal energy propagates with finite velocity whereas for parabolic Pennes equation velocity is infinite