RT journal article
T1 Fractional Beer-Lambert law in laser heating of biological tissue
A1 Lizama, C.
A1 Murillo Arcila, Marina
A1 Trujillo, M.
A2 Matemáticas
K1 partial differential equations
K1 fractional Beer-Lambert law
K1 Laplace transform
K1 thermal therapies
K1 heat equation
K1 corneal laser irradiation
AB In this article we propose an alternative formulation to model a thermal-optical coupledproblem involving laser heating. We show that by using the Fractional Beer-Lambert Law (FBLL)instead of the Beer-Lambert Law (BLL) as the governing equation of the optical problem, theformulation of the laser heat source changes, along with consequently, the distribution of temperatures.Our theoretical findings apply to laser thermal keratoplasty (LTK), used to reduce diopters ofhyperopia. We show that the FBLL o ers a new approach for heat conduction modeling of laserheating, which is more flexible and could better fit the data in cases where the BLL approach does notfit the data well. Our results can be extended to laser heating of other biological tissues and in othergeneral applications. Our findings imply a new insight to improve the accuracy of thermal models,since they involve a new formulation of the external heat source rather than the heat equation itself.
PB AIMS Press
SN 2473-6988
YR 2022
FD 2022
LK http://hdl.handle.net/10498/35333
UL http://hdl.handle.net/10498/35333
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026