Newton's Method in Matlab 19.0 to Minimize a Function of Direct Solar Infrared Radiation (2100nm to 4000nm)

Abstract

This research work has as main objective to apply Newton's method in Matlab. 19.0 to minimize a nonlinear spread function infrared direct solar radiation (2100 nm to 4000 nm). The methodology that was applied consisted of the analysis of the components of direct infrared radiation: Rayleigh scattering, aerosols, water vapor between the atmosphere and the Earth, to generate a theoretical model of infrared radiation that depends on of the parameters: turidity coefficient ???? and length of the ozone layer ????, precipitable water vapor W. In the which this model was compared with experimental data through of a nonlinear Dispersion Function, that was minimized through Newton's method, obtaining as a result the theoretical model of infrared radiation using the parameters: ????= 0.9499, ???? = 1.0889 cm and predominant in W= 3.8342 cm. for the Costa Rica station, corresponding to a cloudy white sky atmosphere without the presence of an ozone hole with a considerable presence of water vapor.