Abstract
The interaction of laser radiation and a non-perfectly reflecting medium leads to the conversion of electromagnetic energy into heat at the medium boundary. Heat partially dissipates through convection and radiation at the medium boundaries. Evaluation of this problem requires a solution to the heat equation with nonlinear boundary conditions. This paper demonstrates through application of the spectral method and perturbation theory an analytically approximated temperature solution that is globally smooth and stabilizes for time t→∞. This behavior is verified by comparison with the previously reported analogy of convective and radiative cooling of a sphere. The method is generalized in order to solve the heat equation with nonlinear boundary conditions in terms of nth degree polynomial functionals.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
