The steady-state temperature distribution in a semitransparent material of thermal conductivity [tex]\mathrm{k}[/tex] and thickness [tex]\mathrm{L}[/tex] exposed to laser irradiation is of the form
[tex]
T(x)=-\frac{A}{k a^2} e^{-a x}+B x+C
[/tex]
(a) Obtain expressions for the conduction heat fluxes at the front and rear surfaces.