When you get into laser diode fiber bundles, such as FC-Bar etc, you learn very, very, quickly that back reflections from shiny metal and certain optics cause the output face of the laser diode(s) to blow off from excess energy density and resonances. So, even with high power optical isolators, polarization schemes, etc.. You run the risk of sudden and complete laser diode death, Since by definition your aiming at a potential molten metal mirror, even a tiny amount of stray laser light returning to the laser diode(s) can/will result in damage, if not a full on laser casualty.
Hence why you do not see inexpensive laser diode based soldering tools.
Not to mention that coupling 808 nm near IR laser diode wavelength (typical surplus diode for ND:Yag or ND:YVO4 laser pumping) into solder, which averages 60-90% reflectivity in the near IR, is very, very difficult to achieve. Once it starts to melt you'd need to ramp up the power very fast to continue the melting process.
Even with Optical Density Six, very professional, very expensive, very broadband, laser safety goggles the eye hazard to you and those around you, is huge.
Not to mention the NOHD (Nominal optical hazard distance) for a roughly collimated fiber output laser might easily exceed two hundred feet.
I once was installing a 7,000$ diode laser array in a system repair in the field. I warned the graduate students to under NO circumstances ever arrange for a back reflection into the fiber. One of them, trying to teach the old man "Whos Boss" did just this while I was on site. Whoopsie.. I caught him on cell video aiming 50 watts at a reflective chrome trim piece. I'm sure his professor enjoyed two weeks of downtime while another diode came over from Europe, 7,000$ for the array, 1000$ for my travel, and 2000$ in fees from my then employer. The young gentleman had an Ego / paranoia / racism / Trust Issue problem and wanted his own measurement of device power. I had told him not to touch the fiber... But he and his friends wanted to show off how smart they were, and did what the American told them not to do. Took less then then a millisecond for an expensive, deliberate mistake. My employer sent another tech with me for round two, for obvious reasons. My boss told the customer that his warranty ended the moment the student unscrewed the SMA fiber when warned not to. My point is, if you have no idea what your doing, high powered diode lasers are NOT for you.
NOT a great idea to try to solder with a laser, systems that do use this method use high power, ultra short pulse, lasers to partially melt an existing solder joint, then watch the heat decay curve on a thermal scanner to verify the integrity of a solder joint. That is not a candidate for home construction, needing a Q-Switched laser source. Key word here is partial melt, not soldering.
Older laser diodes that you might find on Ebay etc.. Often have a severe aging problem that might not be apparent when first purchased surplus.
Did I mention the sensitivity to current surges, turn on spikes, and static discharge events? As well as the need for a very high amperage constant current driver working into what can be a near dead short?
Get yourself an ERSA iron and enjoy life.