earthsky.org

I may be simple.

While we continue to make progress with the exploration of our solar system, with breathtaking insights into the moons of Jupiter and Saturn, we still lack any realistic concept for the direct exploration of our closest solar neighbours. In 2016, a 'breakthrough' was announced planning to accelerate lightweight spacecrafts to 15-20% of the speed of light to bridge the distance of 4.4 lightyears to Alpha Centauri with an estimated travel time of 20-30 years.
According to plans, acceleration will be provided by directing focused laser beams into 4 by 4 meter lightsails composed of a (still to be developed) graphene-based light-weight material. The miniature spacecrafts (with a total mass of a few grams) should in principle just take pictures once they have reached our closest solar companion, during a very fast fly-by. To compensate for possible falling into malfuction during the long journey, an armada of 1000 such 'flying mobile cameras' should be sent along their way.
An illustrious crowd of specialists with high technical competence seems to advocate and to support this ambitious project. Nevertheless, its realization appears still premature, for several reasons. First of all, the essential pre-requisite is science fiction: up to now, no light-weight lightsail of sufficient efficiency and sturdiness is available yet. Second, I wonder whether it would be wise to provide propulsion by laser beams. And third, Moore's 'law' on the future of computing power (a doubling every 2 years) still seems to hold.
Research into the technical applicability of graphene is in its infancy. Due to its excellent properties, there is little doubt that an efficient lightsail could be made from this material. However, it still needs to be seen how much energy such a construct can transduce into velocity without destruction. Probably it will be better to rely on good old solar power instead of high energy lasers, even if only 10% of the speed of light can be reached.
Another drawback of using earth-based lasers for acceleration would be that once accelerated, these  tiny aircraft cannot be slowed down except by other laser canons installed on Proxima Centauri b (for example), an Earth-sized exoplanet in the habitable zone of Proxima Centauri. Of course, installation of such instruments is far beyond our possibilities. However, the star Alpha Centaurus is a close neighbour of the red dwarf Proxima Centauri and would have sufficient luminosity to efficiently decelerate our vehicles.
This brings me to my third point: Once these tiny machines were more the 4 lightyears away from our solar system, no meaningful exchange of information would be possible. They will have to decide everything for themselves. Of course, we would very much like them to shift into orbit e.g. around Proxima Centauri b and to send us pictures from there. To achieve that, the little aircraft would have to process a lot of information and must be equipped with a means to orient their lightsails appropriately.
This high demand on information processing can only be met by very efficient hardware and software. Both are subject to ongoing developments. My proposal would be: Let's wait for another 20 years before we start investing into such a project. Lets exploit both stars for providing the necessary acceleration / deceleration energy: our own sun, and the most powerful star of the approached trinary star system.
The largest solar sail produced as of 2013 was Sunjammer, forseen for launch into orbit for 2015 (but finally cancelled). With an impressive area of 1200 m2 and a thickness of only 5 µm, the area density of the polyimide foil (mass density 1.42 g/cm3) was considerably below that of regular printing paper (7.1 << 80 g/m2). Nevertheless, this value was still far above the theoretical value for keeping the balance between gravity and solar light pressure (0.78 g/m2; not to mention the equipment to carry). A single molecular sheet of graphene weighs 0.00037 g/m2 ...
One property we will surely need for such a project is patience. Most likely, none of the people involved in its development will live to see the first results. But future generations will expect with excitement the news sent to us from a far distant world. If the procedure works, more instruments will be sent to other neighbouring solar systems. This will give us the possibility to improve the techniques involved. With the right materials at hand, it may turn out as relatively simple and inexpensive.
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Heller R & Hippke M (2017) Deceleration of high-velocity interstellar photon sails into bound orbits at alpha-Centauri. arXiv:1701.08803v1
Heller R, Hippke M, Kervella P (2017) Optimized trajectories to the nearest stars using lightweight high-velocity photon sails. arXiv:1704.03871v2
More realistic concepts for nearer targets