Even if you have a mirror capable of reflecting 99.999% of light (best dielectric mirror), hitting it with 100GW means it will still absorb 1 million watts. That will melt anything tiny near instantly.
Even if you have a mirror capable of reflecting 99.999% of light (best dielectric mirror), hitting it with 100GW means it will still absorb 1 million watts. That will melt anything tiny near instantly.
1 gram at 0.2c has 1030MWh of energy. So at 1Mw of received power it would take 1030 hours or about 60 days to accelerate 2g to 0.2c.
I believe most plans call for much more than 60 days of acceleration. So less than 1Mw of power needs to be delivered to the solar sail. Realistically the mass will be more than 2g. Lets say they roughly cancel out.
At 99.99% efficiency that would be 100w to dissapate. Seems like a lot, but could be doable.
If only we could perfectly convert laser light into kinetic energy, this kind of thing would be much easier.
Light has momentum: 1 GW/c is ~3.336 N, but that's when absorbed, by reflecting it (and because of conservation of momentum) you can double that.
6.672 N / 2 grams = 3336 m/s^2 => 5 hours
1 MW/c makes that 60 weeks:
https://www.wolframalpha.com/input?i=0.2c+%2F+%28%281+MW%2Fc...
(I assume the researchers have done all the relevant details or it wouldn't have gotten this far).
At 2g and 60 days, your system would have to span 263,632,527,360 km.
That's more than 10 times further than Voyager 1, which is tiny space probe that has been traveling for 47 years.
And that also assumes that your light to speed conversion is 100% efficient and that you can hit the 1-gram target perfectly over 263 billion km.
Sorry, it doesn't work no matter how you slice it.
Singly ionized alkaline earth elements (magnesium, calcium) should have very strong resonant absorption, just like neutral sodium, due to the single outer shell electron. If the laser is tuned properly it could even cool the ions, preferentially scattering off ions moving toward the laser beam, reducing their kinetic energy in the rest frame of the vehicle.
The idea of laser cooling might also apply to a solid laser sail.
If that 100GW is over 1km2, the incident light is 10W/cm2 and mW levels of heating.
1km2 is typical for these ideal to minimise the laser dispersion
But maybe you could use 500x 1GW lasers distributed around the sail, or use the plume of vaporized material as your propulsion, or have a sacrificial layer of material. I don't have relevant expertise, to be clear, I'm spit balling.
Even kilowatt would be a problem for object that small.
Hum... I would require a lot of surface area, that's certain. There's no constraint at all at the mass.
> In order to reach relativistic speeds, the Starshot lightsail should have an area of ~10 m2 and be kept to a mass of under ~1 gram, which translates into an equivalent thickness of approximately 100 atomic layers ... With radiative cooling being the sole mechanism for passive thermal management in space, we quantify stringent requirements on material absorptivity that enable the lightsail to withstand high laser intensity and prevent excessive heating and mechanical failure.
They seem to think that heat dissipating is within the realm of plausibility
Materials challenges for the Starshot lightsail, Nature Materials, 2018, https://daedalus.caltech.edu/files/2018/05/Materials-challne...