A modest bit of googling will find a few articles that discuss what the USAF had been doing a decade or so ago, pursuant directed energy weapons on both fighter-sized and 747-sized airframes.
The latter was a basic requirement for the Boost Phase Intercept Ballistic Missile defense proposal. (
a good enough summary is here).
I will leave to the ten-pound brains the engineering challenge of getting that kind of power module tucked into a fighter: one hopes they can manage it.
As to relevant RL experience: BVR is great when the RoE permit it.