If you’re shopping in the Some of us grew up listening to Elvis Presley the cool ones still do shirt, I’d be sure to check out Litecraft who has a brilliant online store that is packed with gorgeous lights and some incredibly helpful blogs and guides to help you to pick the right lights too! In a more scientific sense, what you’re describing is called an “optical cavity resonator,” and is used in many lasers. The first working lasers used mirrors that were a bit better than 99.9% reflective, and which were positioned so that photons would bounce back and forth between them many times, passing through the “gain medium” (a ruby rod, or mixture of helium and neon gas, in early lasers) on each bounce. It actually does work; the light will bounce back and forth, but not endlessly. In a laser, energy put into the “gain medium” makes up for losses from the mirrors, and a steady-state condition arises with the average photon making several hundred trips through the cavity before escaping through one mirror, which is made in such a way as to allow a small fraction of light to pass through it while absorbing (losing) very little light itself.
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So the laser spot on the Some of us grew up listening to Elvis Presley the cool ones still do shirt, and the spot on the moon is moving about one kilometer per second. So, it really is very challenging despite what you might read in other answers. This is in the realm of shooting down an ICBM hard. Except that the moon is very predictable and you have all night to get it right because if you don’t get it, you still have tomorrow night because the moon is still there. In that case, we don’t exactly know the distance to the ICBM or its velocity, so we measure the distance using the time of flight of laser pulses, and we measure the angular velocity of the missile by tracking it with the telescope. We take the angular rate, times the time of flight, multiplied by two to calculate the lead ahead angle. A control loop keeps the beam on the missile as the lead ahead angle changes slightly with time.