The electrolaser is just a wireless taiser. It uses an ultraviolet laser to ionize the air between the emitter and the target. Then it sends an electricity charge down the electrically-conductive air column shocking the target. A low-intensity pulse is enough to stun them like the existing taiser, but you can dial-up the power and deliver enough of a shock to kill someone.
There was also the ability to trigger lightning from storms by firing an electrolaser through the storm, and allowing the cloud to generate the charge. In theory, you could use it to direct a lightning strike on critical facilities of unfriendly nations, from a stealth aircraft and leave behind no evidence. In fact, if you're a real jackass about it, you could even use it for strikes on allied nations, if you're trying to manipulate them to your wishes.