Temperature Profile as a result of TPA absorption
Computer simulation program
- ?2T = W / k
k ?T = ±hT (“+” for x=0, “-” for x=l)
assume large collimated pump beam, 1 dimension
use shooting method to solve the diff. Equation
for BBO it is measured to be 1.6W/m/K(p c), 1.2W/m/K(s c) (J. Donald Beasley, Applied Optics, 1000-1003, Vol.33, (1994)) or 0.8W/m/K (p c), 0.08W/m/K (s c) (D. Eimerl, L. Davis, S. Velsko, E. K. Graham and A. Zalkin, "Optical, mechanical, and thermal properties of barium borate" J. Appl. Phys. 1968-1983, Vol. 62, (1987)). We use k= 1.0W/m/K just to illustrate the profile qualitatively.
h is the heat transfer coeff. at the crystal surface, the typical value is 22-33W/m2/K, with normal air convection.