APOD: A Laser Strike at the Galactic Center (2013 Dec 01)

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Expand view Topic review: APOD: A Laser Strike at the Galactic Center (2013 Dec 01)

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by alter-ego » Sun Dec 08, 2013 9:00 am

Chris Peterson wrote:
alter-ego wrote:My calculations aren't getting anywhere near either of yours. Chris, your divergence is much larger than I calculate, and Art, your photon collection rate per m2 is much higher than I calculate. The discrepancy is so large I'd like to find out why. Maybe I'm missing something. Regarding the photon count rate per m2 I'm assuming one calculates it by taking the irradiance at distance (W/m2) ÷ Photon Energy which gives 1/[m2·sec]

Chris - What is the beam diameter your starting with to arrive at 4 ly diameter? Are there other assumptions you've made to arrive at that (e.g. interstellar extinction)?
I assumed 1mm, which would be about right for the cavity beam in a 100W gas laser.

I ran all the calculations off very quickly and didn't check them. It's entirely possible I made an error. Lots of very big and very small numbers; plenty of opportunities for exponent errors.
Your divergence is in the right ballpark. I calculate a 7-ly diameter for a 532nm beam. Originally, I was thinking divergence from a 14m diameter beam which is a whole bunch less. Also, in my reply to Art, my example uses 532nm for the wavelength. If you were using a real guide star wavelength, I missed that. In this case, the wavelength difference is really of no significance to what I calculate the photon collection rate per m2 is.

As I posted above, for the 100-W laser with a 1mm beam diameter (532nm), the photon density 10,000 ly appears greatly lower than maybe you calculated. I calculate the time between photons per m2 is an amazing 382,000 years :!:

The calculation details are in my reply to Art.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by alter-ego » Sun Dec 08, 2013 8:51 am

neufer wrote:
alter-ego wrote:
Art - Are you using 10.5cm wavelength / 2.86GHz?
I assume you're calculating antenna diffraction ≈ λ/Diameter (the Half-Power Beam Width)?
Yes to all that.

I get a beam an order of magnitude wider than Chris's laser beam
but with a power 3 orders of magnitude stronger so the beam intensity is ~10 times stronger.

I extrapolated from Chris's photon count based upon photons that are 200,000,000 times weaker
when they should have been 200,000 times weaker :!:
so I really should have gotten 0.4 microwave photons per second. What do you get?
First off, I haven't ignored your question. Between the holidays and unfortunate timing of forum access problems, I haven't responded.

Well, care is needed to keep track of the details which mostly amounts to orders of magnitude here. If I did my calculations correctly, your and Chris' final photon collection rates per m2 are off by orders of magnitude. This was significant enough that I wanted to review my calculations first. So to try to keep things clearer, I'm posting calculation details below that you and Chris can review if you wish.

OK, cutting to the chase, I get the radio telescope photon collection time per m2 ~66 hours at a distance of 10,000 ly, and a laser photon collection time ~382,000 yrs. To validate this, I first wanted to first calculate the photon collection ratio using the ratio approach as you did above. I believe the cyan-highlighted equation below (incorporating the constants) correctly predicts the laser-to radio photon collection time to be ~50,000,000. This ratio approach above yields the same answer as the ratio of specific cases calculated below.
The case-specific photon collection time calculations are:
These are simplified calculation that don't attempt to account for the next issue of interstellar extinction which attenuates the photon counts. I've also looked at this but no need to go there here.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by neufer » Tue Dec 03, 2013 3:01 pm

alter-ego wrote:
Art - Are you using 10.5cm wavelength / 2.86GHz?
I assume you're calculating antenna diffraction ≈ λ/Diameter (the Half-Power Beam Width)?
Yes to all that.

I get a beam an order of magnitude wider than Chris's laser beam
but with a power 3 orders of magnitude stronger so the beam intensity is ~10 times stronger.

I extrapolated from Chris's photon count based upon photons that are 200,000,000 times weaker
when they should have been 200,000 times weaker :!:
so I really should have gotten 0.4 microwave photons per second. What do you get?

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Chris Peterson » Tue Dec 03, 2013 2:42 pm

alter-ego wrote:My calculations aren't getting anywhere near either of yours. Chris, your divergence is much larger than I calculate, and Art, your photon collection rate per m2 is much higher than I calculate. The discrepancy is so large I'd like to find out why. Maybe I'm missing something. Regarding the photon count rate per m2 I'm assuming one calculates it by taking the irradiance at distance (W/m2) ÷ Photon Energy which gives 1/[m2·sec]

Chris - What is the beam diameter your starting with to arrive at 4 ly diameter? Are there other assumptions you've made to arrive at that (e.g. interstellar extinction)?
I assumed 1mm, which would be about right for the cavity beam in a 100W gas laser.

I ran all the calculations off very quickly and didn't check them. It's entirely possible I made an error. Lots of very big and very small numbers; plenty of opportunities for exponent errors.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by alter-ego » Tue Dec 03, 2013 7:27 am

neufer wrote:
Chris Peterson wrote:
At a distance of 10,000 ly, the beam diameter will be at least 4 ly.

For a , 100W source, that means that any given square meter aperture will receive one photon every 39 days.
At a distance of 10,000 ly, the beam diameter from a 70 m radar dish (at half the 21 cm wavelength) will be about 37 ly.

For a 126kW source, that means that any given square meter aperture will receive about 400 microwave photons per second.
My calculations aren't getting anywhere near either of yours. Chris, your divergence is much larger than I calculate, and Art, your photon collection rate per m2 is much higher than I calculate. The discrepancy is so large I'd like to find out why. Maybe I'm missing something. Regarding the photon count rate per m2 I'm assuming one calculates it by taking the irradiance at distance (W/m2) ÷ Photon Energy which gives 1/[m2·sec]

Chris - What is the beam diameter your starting with to arrive at 4 ly diameter? Are there other assumptions you've made to arrive at that (e.g. interstellar extinction)?

Art - Are you using 10.5cm wavelength / 2.86GHz? I assume you're calculating antenna diffraction ≈ λ/Diameter (the Half-Power Beam Width)?

Thanks.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Nitpicker » Tue Dec 03, 2013 3:44 am

But in a couple of weeks it might make an excellent long-exposure photo of Earth, from Sinus Iridum, by Chang'e 3.
http://asterisk.apod.com/viewtopic.php? ... 3&start=42

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Anthony Barreiro » Mon Dec 02, 2013 10:24 pm

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by neufer » Mon Dec 02, 2013 4:52 am

Chris Peterson wrote:
At a distance of 10,000 ly, the beam diameter will be at least 4 ly.

For a , 100W source, that means that any given square meter aperture will receive one photon every 39 days.
At a distance of 10,000 ly, the beam diameter from a 70 m radar dish (at half the 21 cm wavelength) will be about 37 ly.

For a 126kW source, that means that any given square meter aperture will receive about 400 microwave photons per second.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Chris Peterson » Sun Dec 01, 2013 11:47 pm

BDanielMayfield wrote:I guess there’s just no way to get around the inverse square law then, is there? The intensity of any radiating source will always be four times dimmer with every doubling of distance, won’t it? Even if the source is a laser pointer.
There is a region near the focusing optics where you don't have an inverse-square relationship. In that region, the beam has a curved profile. But far from the optics, it is just a conical profile, so you have the inverse-square law.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Chris Peterson » Sun Dec 01, 2013 11:45 pm

BDanielMayfield wrote:I just meant “terrible” in the sense of terribly hard to detect because of attenuation of signal strength Chris. Thanks for your answer.
Well, the divergence is much greater at longer wavelengths. A biggish radio antenna, say around 10 m, has a divergence of around a degree for microwaves, about 50 times greater than the green laser. So the radio energy is spread out over a much greater area when it gets to the next star.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by BDanielMayfield » Sun Dec 01, 2013 11:44 pm

I guess there’s just no way to get around the inverse square law then, is there? The apparent intensity of any radiating source will always be four times dimmer with every doubling of distance, won’t it? Even if the source is a laser pointer.

It’s the laws:

Thou shall not go faster than light.
Thou shall not talk faster than light.
Thou must pay for long distance calls. (With more energy and larger receivers.)

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by BDanielMayfield » Sun Dec 01, 2013 11:27 pm

Chris Peterson wrote:
BDanielMayfield wrote:A beam spreading to 88 AU over just 4 LY is terrible
That's not terrible at all. That's the divergence you get with a perfectly collimated Gaussian beam. You can't do better- this is just the result of the way the beam interferes with itself. A geometrically collimated (parallel) beam can't exist in nature.

Whether radio or optical communications are better over a few light years depends on details of the technology. Certainly, we should be able to use either, depending on engineering tradeoffs.
I just meant “terrible” in the sense of terribly hard to detect because of attenuation of signal strength Chris. Thanks for your answer.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Chris Peterson » Sun Dec 01, 2013 11:17 pm

BDanielMayfield wrote:A beam spreading to 88 AU over just 4 LY is terrible, but I trust Chris’ math. Please excuse my ignorance, but why wouldn’t it be possible to greatly lengthen a low wattage laser’s collimation (that is, beam tightness) using a lens or lenses to sharply focus the beam?
That's not terrible at all. That's the divergence you get with a perfectly collimated Gaussian beam. You can't do better- this is just the result of the way the beam interferes with itself. A geometrically collimated (parallel) beam can't exist in nature.

Whether radio or optical communications are better over a few light years depends on details of the technology. Certainly, we should be able to use either, depending on engineering tradeoffs.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by BDanielMayfield » Sun Dec 01, 2013 11:09 pm

Nuefer’s militaristic brute force fix uses more power to pump out many more photons, but you’d still have the beam broadening problem over vast distances, wouldn’t you? (Also, hydrogen fluoride is a nicer way of saying hydrofluoric acid, which is I believe the most corrosive acid known, so its use is extremely hazardous.)

A beam spreading to 88 AU over just 4 LY is terrible, but I trust Chris’ math. Please excuse my ignorance, but why wouldn’t it be possible to greatly lengthen a low wattage laser’s collimation (that is, beam tightness) using a lens or lenses to sharply focus the beam?

Let’s assume for the sake of discussion that we have probes and even a human presence in the Alpha Cen system at some point. Discounting FTL communications (which may very likely always remain just a sci-fi notion), how would we communicate with our probes or relatives at such distances? Would radio waves always be the best part of the EM spectrum to use?

And don’t say “Very Slowly.” That would be a given. :D

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by neufer » Sun Dec 01, 2013 10:57 pm

Chris Peterson wrote:
neufer wrote:
We can fix that :!:
Still only a photon per square meter every few minutes at the center of the galaxy.
That's OK. I don't know anyone at the center of the galaxy.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Chris Peterson » Sun Dec 01, 2013 10:32 pm

neufer wrote:We can fix that :!:
Still only a photon per square meter every few minutes at the center of the galaxy.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by neufer » Sun Dec 01, 2013 10:17 pm

Chris Peterson wrote:
Boomer12k wrote:
Tell that to the millions of blinded Aliens about to SUE US!!!!!!!
Just to put the energy into perspective:

At a distance of 10,000 ly, the beam diameter will be at least 4 ly. For a 100W source, that means that any given square meter aperture will receive one photon every 39 days. At a distance of 4 ly, the beam diameter will be at least 88 AU. For a 100W source, that means that any given square meter aperture will receive 3 photons per second. So it's just possible that a very low noise, narrow band detector attached to a large aperture telescope at our nearest star could detect an optical signal from Earth. At the center of the galaxy? I doubt it's physically possible, regardless of technology.
  • We can fix that :!:
http://en.wikipedia.org/wiki/MIRACL wrote: <<MIRACL, or Mid-Infrared Advanced Chemical Laser, is a directed energy weapon developed by the US Navy. It is a deuterium fluoride laser, a type of chemical laser.

The MIRACL laser first became operational in 1980. It can produce over a megawatt of output for up to 70 seconds, making it the most powerful continuous wave (CW) laser in the US. Its original goal was to be able to track and destroy anti-ship cruise missiles, but in later years it was used to test phenomenologies associated with national anti-ballistic and anti-satellite laser weapons. Originally tested at a contractor facility in California, as of the later 1990s and early 2000s, it was located at a facility (32.632°N 106.332°W) in the White Sands Missile Range in New Mexico. The beam size in the resonator is about 21 cm high and 3 cm wide. The beam is then reshaped to a 14 x 14 cm square.

In 1997, amid much controversy, MIRACL was tested against a US Air Force satellite in orbit at a distance of 432 km. The satellite was disabled but the Air Force did not get the data from the satellite it had hoped for.>>
http://en.wikipedia.org/wiki/Hydrogen_fluoride_laser wrote:
<<The hydrogen fluoride laser is an infrared chemical laser. It is capable of delivering continuous output power in the megawatt range. Hydrogen fluoride lasers operate at the wavelength of 2.7-2.9 µm. This wavelength is absorbed by the atmosphere, effectively attenuating the beam and reducing its reach, unless used in a vacuum environment. However, when deuterium is used instead of hydrogen, the deuterium fluoride lases at the wavelength of about 3.8 µm. This makes the deuterium fluoride laser usable for terrestrial operations.

The deuterium fluoride laser constructionally resembles a rocket engine. In the combustion chamber, ethylene is burned in nitrogen trifluoride. This reaction produces free excited fluorine radicals. Just after the nozzle, the mixture of helium and hydrogen or deuterium gas is injected to the exhaust stream; the hydrogen or deuterium reacts with the fluorine radicals, producing excited molecules of deuterium or hydrogen fluoride. The excited molecules then undergo stimulated emission in the optical resonator region of the laser.

Deuterium fluoride lasers have found military applications: the MIRACL laser, the Pulsed Energy Projectile and the Tactical High Energy Lasers are of the deuterium fluoride type. An Argentine-American physicist and accused spy, Leonardo Mascheroni, has proposed the idea of using hydrogen fluoride lasers to produce nuclear fusion.>>

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by neufer » Sun Dec 01, 2013 9:42 pm

ta152h0 wrote:
Is this not an older program that was done years ago? That image looks familiar.
. http://apod.nasa.gov/apod/ap100906.html
. http://asterisk.apod.com/viewtopic.php?f=9&t=20960

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Chris Peterson » Sun Dec 01, 2013 9:36 pm

Boomer12k wrote:Tell that to the millions of blinded Aliens about to SUE US!!!!!!!
Just to put the energy into perspective:

At a distance of 10,000 ly, the beam diameter will be at least 4 ly. For a 100W source, that means that any given square meter aperture will receive one photon every 39 days.

At a distance of 4 ly, the beam diameter will be at least 88 AU. For a 100W source, that means that any given square meter aperture will receive 3 photons per second.

So it's just possible that a very low noise, narrow band detector attached to a large aperture telescope at our nearest star could detect an optical signal from Earth. At the center of the galaxy? I doubt it's physically possible, regardless of technology.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by ta152h0 » Sun Dec 01, 2013 9:06 pm

Is this not an older program that was done years ago ?That image looks familiar.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Boomer12k » Sun Dec 01, 2013 8:49 pm

"SHOT through the HEART, and YOUR TO BLAME...."....just came to mind....

:---[===] *

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Boomer12k » Sun Dec 01, 2013 8:45 pm

Tell that to the millions of blinded Aliens about to SUE US!!!!!!!

Nice Picture....The Galaxy is AWESOME....

:---[===] *

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by neufer » Sun Dec 01, 2013 5:23 pm

Chris Peterson wrote:
zbvhs wrote:
As I understand it, atmospheric irregularities cause the image of a star, say, to bounce around in the telescope's field of view producing a blurred image. The position of the laser spot is known, but it likewise is bounced around by atmospheric distortion. By distorting the mirror, the spot -- and a target in the FOV -- is held in one position for the required exposure time. The mirror distortions occurring are in the micrometer range. Correct?
Correct (although the mirror corrections may be submicrometer).
http://en.wikipedia.org/wiki/Deformable_mirror wrote:
Image
<<Deformable mirrors (DM) are mirrors whose surface can be deformed, in order to achieve wavefront control and correction of optical aberrations. Deformable mirrors are used in combination with wavefront sensors and real-time control systems in adaptive optics.

A DM usually has many degrees of freedom. Typically, these degrees of freedom are associated with the mechanical actuators and it can be roughly taken that one actuator corresponds to one degree of freedom. Actuator stroke is the maximum possible actuator displacement, typically in positive or negative excursions from some central null position. Stroke typically ranges from ±1 to ±10 micrometres. Free actuator stroke limits the maximum amplitude of the corrected wavefront, while the inter-actuator stroke limits the maximum amplitude and gradients of correctable higher-order aberrations.>>
Chris Peterson wrote:
The ideal way of fixing the wavefront is to use a star for reference. But often, there isn't a bright enough star in the field to act as a reference (the correctable region is very small- just a few arcminutes at best). So in that case, a laser is used to generate an artificial star near or on the target. Some newer systems generate multiple reference stars in order to correct a wider field.
http://en.wikipedia.org/wiki/Adaptive_optics wrote:
[img3="Slow motion simulation of typical adaptive optics operation at a telescope.
The left hand side shows what a point source (e.g. small star) would look like through a ground-based telescope without adaptive optics correction. The right hand side shows what is seen after adaptive optics correction has been applied. Note that the adaptive optics corrected image is normally very compact, but occasionally it "breaks up". If long exposure images are taken, the adaptive optics correction produces a sharp point at the centre of the image, while the uncorrected image is just a large fuzzy blob.
"]http://upload.wikimedia.org/wikipedia/c ... _movie.gif[/img3]
<<A natural guide stars alternative is the use of a laser beam to generate a reference light source (a laser guide star, LGS) in the atmosphere. LGSs come in two flavors: Rayleigh guide stars and sodium guide stars. Rayleigh guide stars work by propagating a laser, usually at near ultraviolet wavelengths, and detecting the backscatter from air at altitudes between 15–25 km. Sodium guide stars use laser light at 589 nm to excite sodium atoms in the mesosphere and thermosphere, which then appear to "glow". The LGS can then be used as a wavefront reference in the same way as a natural guide star – except that (much fainter) natural reference stars are still required for image position (tip/tilt) information. The lasers are often pulsed, with measurement of the atmosphere being limited to a window occurring a few microseconds after the pulse has been launched. This allows the system to ignore most scattered light at ground level; only light which has travelled for several microseconds high up into the atmosphere and back is actually detected.>>

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by Chris Peterson » Sun Dec 01, 2013 5:00 pm

zbvhs wrote:As I understand it, atmospheric irregularities cause the image of a star, say, to bounce around in the telescope's field of view producing a blurred image. The position of the laser spot is known, but it likewise is bounced around by atmospheric distortion. By distorting the mirror, the spot -- and a target in the FOV -- is held in one position for the required exposure time. The mirror distortions occurring are in the micrometer range. Correct?
Correct (although the mirror corrections may be submicrometer).

The ideal way of fixing the wavefront is to use a star for reference. But often, there isn't a bright enough star in the field to act as a reference (the correctable region is very small- just a few arcminutes at best). So in that case, a laser is used to generate an artificial star near or on the target. Some newer systems generate multiple reference stars in order to correct a wider field.

Re: APOD: A Laser Strike at the Galactic Center (2013 Dec 01

by zbvhs » Sun Dec 01, 2013 4:27 pm

As I understand it, atmospheric irregularities cause the image of a star, say, to bounce around in the telescope's field of view producing a blurred image. The position of the laser spot is known, but it likewise is bounced around by atmospheric distortion. By distorting the mirror, the spot -- and a target in the FOV -- is held in one position for the required exposure time. The mirror distortions occurring are in the micrometer range. Correct?

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