Modeling of longitudinally pumped CW Ti:sapphire laser oscillators

Diode-pumped neodymium lasers repetitively Q-switched by Cr/sup 4+/:YAG solid-state saturable absorbers

“…Analogous measurements at different pump spot-sizes confirm the scaling law . These preliminary results on the short 90-mm resonator agree with a simple extension of the model by Alfrey [4], in which the actual nondiffraction limited feature of the pump beam is included employing the usual -propagation law ( is the longitudinal coordinate, and the origin is at the pump waist)…”

Modeling of laser-diode side-pumped continuous wave Nd:YAG/KTP green laser

“…Therefore, the equations about the absorption and the gain of the end-pumped lasers in Ref. [8] also can be applied to the side-pumped lasers. We can obtain the change rate of the FFW power P 1 in the saturated gain medium [8] …”

“…The gain medium has thermal lens effect and the phase difference is distributed as a parabola profile. According to the aberration diffraction theory, the diffraction loss related to the spherical aberrations can be expressed as [7] d d ¼ 1 À R r 0 0 expðið2p=l 1 ÞDfÞ expðÀr 2 =o 2 l Þrdr 2 R r 0 0 expðÀr 2 =o 2 l Þrdr 2 (8) where r 0 is the radius of the rod surface. Df is the double-pass residual phase difference from the center of the crystal to the edge.…”

Numerical modeling of thermal effects in a high-power injection-locked cw Ti:sapphire laser

“…We compare the degree of the mode matching under the different pump powers. An injection-locked ring cavity Ti:sapphire laser can be described by the modified model mentioned by Alfrey [22]. Assuming that the lasing and pump beam profiles are Gaussian, the model can be expressed:…”