Prof Jonathan Sievers (UKZN) NITheP Associate Workshop talk
If every person on earth aimed a laser pointer at the moon at the same time, would it change color
1. If every person on Earth aimed a
laser pointer at the Moon at the
same time, would it change color?
Mini-seminar Dec, 2012
LIN Xuzheng
source: http://what-if.xkcd.com/13/
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3. Please, take 30s to think
• How will you “solve” this question?
• What to consider?
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7. • Let’s assume everyone has steady enough aim
to hit the Moon, but no more than that, and
the light is spread evenly across the surface.
• At half an hour after midnight (GMT),
everyone aims and presses the button.
• This is what happens:
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23. Our light is definitely visible, so we’ve
accomplished our goal! Good job,
team.
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28. • Ok, let’s mount a megawatt laser on every
square meter of the surface of Asia. Powering
this array of 50 trillion lasers would use up
Earth’s oil reserves in approximately two
minutes, but for those two minutes, the Moon
would look like this:
29. • The Moon shines as brightly as the midmorning
sun, and by the end of the two minutes, the lunar
regolith is heated to a glow.
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32. • The most powerful laser on Earth is the
confinement beam at the National Ignition
Facility, a fusion research laboratory. It’s an
ultraviolet laser with an output of 500
terawatts. 1,000 times more power than the
United States uses at any instant in time.
• However, it only fires in single pulses lasting a few
nanoseconds, so the total energy delivered is
about equivalent to a quarter-cup of gasoline.
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34. • Let’s imagine we somehow found a way to
power and fire it continuously, gave one to
everyone, and pointed them all at the Moon.
Unfortunately, the laser energy flow would
turn the atmosphere to plasma, instantly
igniting the Earth’s surface and killing us all.
35.
36. • But let’s assume that the lasers somehow pass
through the atmosphere without interacting.
37. • Under those circumstances, it turns out
Earth still catches fire. The reflected light from
the Moon would be four thousand times
brighter than the noonday sun. Moonlight
would become bright enough to boil away
Earth’s oceans in less than a year.
38.
39. • But forget the Earth—what would happen to
the Moon?
• The laser itself would exert enough radiation
pressure to accelerate the Moon at about one
ten millionth of a gee. This acceleration
wouldn’t be noticeable in the short term, but
over the years, it adds up to enough to push it
free from Earth orbit.
The first thing to consider is that not everyone can see the Moon at once. We could gather everyone in one spot, let’s just pick a time when the Moon is visible to as many people as possible. Since about 75% of the world’s population lives between 0°E and 120°E, we should try this while the Moon is somewhere over the Arabian Sea.
We can try to illuminate either a new moon or a full moon. The new moon is darker, making it easier to see our lasers. But the new moon is a trickier target, because it’s mostly visible during the day—washing out the effect.
The typical red laser pointer is about 5 milliwatts, and a good one has a tight enough beam to actually hit the Moon—though it’d be spread out over a large fraction of the surface when it got there. The atmosphere would distort the beam a bit, and absorb some of it, but most of the light would make it.
Well, that’s disappointing.It makes sense, though. Sunlight bathes the Moon in a bit over a kilowatt of energy per square meter. Since the Moon’s cross-sectional area is around 10^13 square meters, it’s bathed in about 10^16 watts of sunlight—ten petawatts, or two megawatts per person—far outshining their five milliwatt laser pointer. There are varying efficiencies in each part of this system, but none of it changes that basic equation.
A 1-watt laser is an extremely dangerous thing. It’s not just powerful enough to blind you—it’s capable of burning skin and setting things on fire. Obviously, they’re not legal for consumer purchase in the US.Just kidding! You can pick one up for $300.So suppose we spend the $2 trillion to buy one-watt green lasers for everyone. (Memo to presidential candidates: this policy would win my vote.) In addition to being more powerful, green laser light is nearer to the middle of the visible spectrum, so the eye is more sensitive to it and it seems brighter.
The laser pointers we’re using put out about 150 lumens of light (more than most flashlights) in a beam 5 arc-minutes wide. This lights up the surface of the Moon with about half a lux of illumination—compared to about 130,000 lux from the sun. (Even if we aimed them all perfectly, it would only manage half a dozen lux over about 10% of the Moon’s face.)By comparison, the full moon lights up the Earth’s surface with about one lux of illumination—which means that not only would our lasers be too weak to see from Earth, but if you were standing on the Moon, the laser light on the landscape would be fainter than Moonlight is to us on Earth.
give everyone a Nightsun. You may not recognize the name, but chances are you’ve seen one in operation: It’s the searchlight mounted on police and Coast Guard helicopters. With an output on the order of 50,000 lumens, it’s capable of turning a patch ground from night to day.The beam is several degrees wide, we’ll want some focusing lenses to get it down to the half-degree needed to hit the Moon.Here’s the effect:
It’s hard to see, but we’re making progress! The beam is providing 20 lux of illumination, outshining the ambient light on the night half by a factor of two! However, it’s quite hard to see, and it certainly hasn’t affected the light half.
Let’s swap out each Nightsun for an IMAX projector array—a 30,000-watt pair of water-cooled lamps with a combined output of over a million lumens.Still barely visible.
At the top of the Luxor Hotel in Las Vegas is the most powerful spotlight on Earth. Let’s give one of them to everyone.
Oh, and let’s add a lens array to each so the entire beam is focused on the Moon:
The Department of Defense has developed megawatt lasers, designed for destroying incoming missiles in mid-flight.
Finally, we’ve managed to match the brightness of sunlight!We’re also drawing five petawatts of power, which is double the world’s average electricity consumption.