Unlike Don, I do not believe that laser powered starships are out of the question. The power requirements are the limiting factor.
The largest currently proposed optical telescope has an aperture of 30m. And is designed to observe light with a wavelength of between .7x10^-6m to 1.4x10^-6m.
www.tmt.org/observatory The laser beam may be allowed to spread wider than the collector. The light will still be more concentrated near the center of the beam so if the beam is three times as wide as the collector, the collector still receives over 1/9 of the laser radiation.
Let our baseline system use a thirty meter diameter aperture.
Let our baseline laser have a wavelength of 10^-6m
Let our maximum acceptable beam diameter be 2,000Km or 2,000,000m
Let us assume 10m/s^2 acceleration
Let us assume that the starship starts at rest (If it starts at motion, performance can be enhanced)
Let us assume that the transmitter is not following the target, but at rest.
The distance the beam can travel given our constraints is r.
r = ((2x10^6m)(30m))/(2.44(10^-6m)) = 2.46x10^13m
V = (2(10m/s^2)(2.46x10^13))^(.5) = 22,181 Km/s = 7.4%c
Except for a collector on the scale of 500+ Km diameter, and the power to drive the laser, we could do this today.
Robert Zubrin, in his book Entering Space, proposed a laser sail starship with the following parameters:
200 meter diameter aperture laser.
686Km diameter light sail (0.001 micron average thickness).
121 billion kilometer laser range.
9m/s^2 acceleration
15% light speed
1,000 ton Starship
240 Terawatt laser.
Magnetic sail “parachute†for deceleration at destination.