If you want to do that, you really want to read:
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Diode-pumped dye laser analysis and design
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D. P. Benfey, D. C. Brown, S. J. Davis, L. G. Piper, and R. F. Foutter
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Basically the design limitation is how fine a spot you can focus the 514 nm diode to... You then need to mode match the beam diameter in the resonator to the spot size at the dye jet...
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Benfey at al, covers how to do that..
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I have a friend that used a small DPSS to threshold a Coherent ring dye laser, he needed 1 watt of 532 nm light to get a few hundred microwatts of dye light.. He could not threshold a cuvette due to the triplet state problem. I spent many hours helping him, and we had to change the high power OC to a low transmission optic from my collection.
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Steve
Qui habet Christos, habet Vitam!
I should have rented the space under my name for advertising.
When I still could have...