TY - JOUR
TI - Analytical treatment of transient temperature and thermal stress distribution in CW end pumped laser rod: Thermal response optimization study
AU - Shibib Khalid S
AU - Tahir Mayada M
AU - Mahdi Mohammad A
JN - Thermal Science
PY - 2014
VL - 18
IS - 2
SP - 399
EP - 408
PT - Article
AB - The analytical solution of transient temperature distribution and Tresca  failure stress in CW end- pumped laser rod has been derived using integral  transform method. The analytical result is compared with numerical solutions  presented by other works and good agreement has been found. Analytical  solution with its clear physical meaning and its explicit form permits to  predict the influence of various factors on the solution. The optical path  difference which gives a valuable means to quantify the optical properties of  laser material such as designed beam quality, will converge to a constant  value as steady state temperature distribution is reached. One can obtain the  dominate factors which affect the laser response to bring the laser rod to  the thermal equilibrium; it has been found that fast response can be achieved  by reducing pumping power, increasing extracted heat from the rod , choosing  a crystal having high thermal diffusivity and decreasing laser rod radius  while its volume remains constant. One final advantage of the analytical  solution is that a fast result can be obtained where the numerical solution  usually is a time consuming technique.