“…In the past analytical modeling, including ETU effects lasers, has been done and the influence of ETU effects on the threshold [8,12,13], output power [12,13] and thermal lensing effect [9,11,12,15,[18][19][20] has also been investigated. In our previous work [21,22], the ETU losses as functions of the ratio between laser cavity mode and pump beam size in the laser medium and pump power were investigated; we concluded that the ETU losses were increasing functions of mode-to-pump ratio at slightly higher pump power and decreasing functions of pump power.…”