“…WhereKj , kJk,=Klp,cj, Pi' C, (i=I,2,3,4) are the thermal conductivity, thermal diifusivity, density and heat capacity of the region i. Qi (1= 1,2,3) are the heat deposited by the absorption of the region i and are given by: (2a) (2b) (2c) Here Ct i (i= 1,2,3) denote the optical absorption coefficient of region i, Rj (i = 1,2,3) are the reflective coefficients at the interfaces of region OIl, 112,2/3, respectively. Assuming that there are finite temperature steps at the interfaces between regions 1 and 2, 2 and 3, which are determined by thermal interfacial resistance Rl2 and R 23 , the boundary conditions at the interfaces are (3b) (3c) (3d) Due to the cylindrical symmetry of the problem, the differential thermal conduction equations can be solved by standard Hankel transform technique and the temperature rises within the five regions can be expressed as The temperature rise in a two-layered sample with interfacial absorption can be obtained by assuming the second layer is with very small thickness and finite absorption, or solving similar thermal conduction problems.…”