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How To Build a Quantum Telescope

KentuckyFC (1144503) writes "The resolving power of telescopes is limited by the diffraction limit, a natural bound on resolution caused by the way light diffracts as it passes through a lens. But in recent years, physicists have worked out how to use quantum techniques to beat the diffraction limit. The trick is to create a pair of entangled photons, use one to illuminate the target and the other to increase the information you have about the first. All this is possible in the lab because physicists can use their own sources of light. Indeed, last month, physicists unveiled the first entanglement-enhanced microscope that beats the diffraction limit. But what about astronomy where the light comes from distant astrophysical sources? Now one physicist has worked out how to use quantum techniques to beat the diffraction limit in telescopes too. Her idea is to insert a crystalline sheet of excited atoms into the aperture of the telescope. When astrophysical photons hit this sheet, they generate an entangled pair of photons. One of these photons then passes through the telescope to create an image while the other is used to improve the information known about the first and so beat the diffraction limit. Of course, all this depends on improved techniques for increasing the efficiency of the process and removing noise that might otherwise swamp the astrophysical signal. But it's still the early days in the world of quantum imaging, and at least astronomers now know they're not going to be excluded from the fun."

60 comments

  1. Please proofread your post by azav · · Score: 1

    > excluded form the fun

    from* the fun.

    --
    - Zav - Imagine a Beowulf cluster of insensitive clods...
    1. Re:Please proofread your post by Ken_g6 · · Score: 1

      Also, it's "early days in the world quantum imaging". So either this only works for seeing exoplanets, or the word "of" is missing.

      --
      (T>t && O(n)--) == sqrt(666)
    2. Re:Please proofread your post by Theovon · · Score: 0

      And of course, everyone else on slashdot waits with baited breath to see you and your ilk post grammar complaints. Surely, nobody just gets over the minor typos and actually concentrates on the article, which (unlike so many other articles) is actually really interesting news for nerds.

      What astounds me is the arrogance of some people who seem to imply by their behavior that they believe that they themselves never make mistakes. I would assert that losing sight of the forest for the trees (what’s more interesting, quantum telescopes or complaints about grammar?) IS a mistake, which means that you ARE imperfect and therefore might want to stop making yourself look like an ass by unnecessarily complaining about grammar and spelling.

    3. Re:Please proofread your post by Anonymous Coward · · Score: 0

      Hey hey don't stop there.

      Why don't we just overlook rounding in long division... I mean... you get the idea that we are diving 15 by 3 so what the hell do we need all these decimal points for. Let's extend it to variable naming... my_Variable is the same as MyVariable right... I mean why should we concentrate on the minor typos, we should just be concerned with the overall program.

      I would assert that you ARE imperfect and therefore might want to stop making yourself look like an ass by unnecessarily complaining about people who complain about grammar and spelling.

      Disclaimer: I probably mis-spelt something or used grammar improperly while writing this comment. Please feel free to edit it.

    4. Re:Please proofread your post by Soulskill · · Score: 1

      I've updated to fix. Thanks.

    5. Re:Please proofread your post by cusco · · Score: 1

      It's actually 'bated breath', not 'baited breath', as in holding one's breath in anticipation, not having breath that smells of rotting minnows.

      Sorry, just couldn't resist. Actually I agree completely with your point.

      --
      "Think about how stupid the average person is. Now, realise that half of them are dumber than that." - George Carlin
    6. Re:Please proofread your post by Anonymous Coward · · Score: 0

      I've updated to fix. Thanks.

      For your next trick, maybe you can fucking spellcheck and proofread BEFORE releasing something for a very large audience. That would be slightly professional.

      Try it on for size, you may even like it!

  2. Pixel limit of satellite images? by Anonymous Coward · · Score: 0

    Would this technology also enable us to get higher definition satellite images of earth? Or is that a different refraction which makes max resolution about half a meter/pixel ?

    Satellite imagery on wikipedia

    1. Re:Pixel limit of satellite images? by Joce640k · · Score: 1

      I suspect the problem there is lack of demand for higher resolutions.

      Selective aerial photography is much cheaper.

      --
      No sig today...
  3. Mind blown by dargaud · · Score: 3, Interesting

    I already had my mind blown when active mirrors managed to get rid of turbulence. But this is another thing entirely, getting rid of diffraction !?!

    --
    Non-Linux Penguins ?
    1. Re:Mind blown by Anonymous Coward · · Score: 0

      Can't we already partially do that by deconvoluting an image?

    2. Re:Mind blown by Anonymous Coward · · Score: 0

      It works up to a point. The deconvoluting matrix has large entries (positive and negative) which amplify noise. The more details you want to resolve, the less noise you can tolerate in your input image.

  4. That's a bit of a Leap.... by Lumpy · · Score: 4, Funny

    Please Please, call the control system "ziggy".

    --
    Do not look at laser with remaining good eye.
  5. My theory about photons by Aglae Kellerer by Anonymous Coward · · Score: 0

    All photons are thin at one end, much, much thicker in the middle, and then thin again at the far end.

  6. The image formation process is still the same by Anonymous Coward · · Score: 4, Informative

    The field being produced by the telescope optics is still the same, as the same primary mirror, secondary, etc. is being used to form the image. Yes, you can use multiphoton processes, even ones that are promoted by entangled photons, to produce apparently narrowed two-photon wavefunctions. However, this two-photon wavefunction is still derived from the ordinary resolution field created by the telescope optics. Therefore it seems to me that little is to be gained by using photon entangled detection to augment a process of image formation that is still fundamentally limited by the telescope aperture size.

    Similar arguments have been used for other forms of imaging (e.g. microscopy and optical coherence tomography) and they all have this issue as the image formation process is still essentially a linear scattering process. There was some excitement around quantum lithography, however, even that has the problem that the probability of two-photon processes can be quite small even with entangled photons. For inherently multiphoton processes, such as two-photon absorption, stimulated Raman scattering, etc. there may be an advantage of increasing resolution and lowering dose, but I don't see much of a benefit to improving an instrument where the image formation process is a linear imaging process.

    1. Re:The image formation process is still the same by dak664 · · Score: 3, Insightful

      Yes, and what's more diffraction causes no fundamental limit to resolution, it just happens to be the distance between the first zeroes of an interference function. For two point sources of equal intensity that leads to an easily seen contrast difference of around 25% but trained observers can detect 5%. On electronic displays the contrast can be cranked up arbitrarily.

      The fundamental limit to resolution is signal-to-nose.

    2. Re:The image formation process is still the same by Immerman · · Score: 1

      I'm not an expert on optics, but from what I understand aperture size determines two things: the number of photons collected, and the angular resolution. And provided you've got plenty of photons to work with it's really only the second that matters. The implication is then that if you want more detail you need a larger aperture. That's fine for handheld telescopes, but once your aperture starts being multiple meters across you start introducing serious practical (including financial) difficulties, both in manufacturing a large and perfect enough lens and, if we're talking space telescopes, the size limits of the lift vehicle and the orbital cross-section (for collision risks with minute orbital debris)

      It sounds to me as though this technology has the potential to add a second way to increase the resolution - the microscope example mentions being able to increase the angular resolution by 35% with the same optics, and it sounds like that's only a proof of concept device. Consider the implications if you could triple (or more) the resolution of a telescope without changing the size.

      --
      --- Most topics have many sides worth arguing, allow me to take one opposite you.
    3. Re:The image formation process is still the same by Arkh89 · · Score: 1

      No, there is a limit to resolution as your PSF (Point Spread Function, the image of a quasi-perfect point), is not a point but a pattern with finite size. Which means that the OTF/MTF couple has a limited support and your system CANNOT deliver any spatial frequencies beyond certain point (1.0/(Lambda F), where F is the F-Number of your system).

    4. Re:The image formation process is still the same by dak664 · · Score: 1

      That's the infinite plane wave approximation for lattices of infinite extent. Scattered spherical waves from finite objects will result in some energy passing through the aperture for every spatial frequency. Although it could be difficult to sort out which frequencies are contributing (aliasing). Analysis of the through focal series can do that, also changing the convergence of incident illumination.

      But if the source is known to be two points, accurate measurement of the spacing between the resulting PSFs is limited only by signal to noise.

    5. Re:The image formation process is still the same by LordVader717 · · Score: 1

      You're confusing two different problems, namely locating a point source on a dark background, and wide-field imaging. The former can be improved beyond the diffraction limit, while the latter can't.

    6. Re:The image formation process is still the same by Anonymous Coward · · Score: 0

      Incorrect. Image deconvolution/convolution techniques allow observers to tradeoff between SNR/resolution.

    7. Re:The image formation process is still the same by Arkh89 · · Score: 1

      True... up to the optical cut-off... After that NO optical system will transmit spatial frequencies...
      I was talking of this optical cut-off, you are talking of how to improve the system MTF before this cut-off...

    8. Re:The image formation process is still the same by amaurea · · Score: 4, Informative

      The effect of a telescope's point spread function is to convolve the image. A raw image f(x) is turned into f'(x) = int dy f(x-dy) g(y), where g(dx) is the point spread function. By the convolution theorem, a convolution is simply a product in fourier space, so F'(k) = F(k)*G(k), where uppercase functions are fourier-transpformed versions of lowercase ones, and k is the wavenumber. From this you can see that recovering the raw, unblurred image (i.e. overcoming the diffraction limit), is just a question of computing F(k) = F'(k)/G(k), i.e. dividing by by the point spread function in fourier space, or deconvoluting it in normal coordinates.

      What limits our ability to do so is the presence of noise in the final image. So a more realistic data model is F'(k) = F(k)*G(k) + N(k), where N is the noise, and when we now try to remove the point spread function, we get F_estimate(k) = F'(k)/G(k) + N(k)/G(k) = F(k) + N(k)/G(k). So we get back our unblurred original image, but with an extra noise term. And since G(k) usually falls exponentially with k (meaning that high wavenumbers = small scales in the image are progressively blurred), N(k)/G(k) will grow exponentially with k, making the noise ever greater as one tries to recover smaller and smaller scales. This puts a limit on how small scales one can recover. But as you can see, it is not given just by G(k). I.e. not just by the diffraction limit. It is given by a combination of the telescope's noise level and the point spread function. In the absence of noise we can fully recover all the small scales. And even with noise one can push down a bit below the diffraction limit with enough data. But due to that exponential rise of the noise with wavenumber, it's an extreme case of diminishing returns. It is much cheaper to make the telescope bigger.

    9. Re:The image formation process is still the same by amaurea · · Score: 1

      I didn't make this explicit, but nowhere does one need to assume that one is looking at a point source (though that helps). I use this for looking at the cosmic microwave background, which is as wide-field as it gets.

    10. Re:The image formation process is still the same by Raenex · · Score: 1

      The fundamental limit to resolution is signal-to-nose.

      Otherwise known as the Pinocchio ratio.

    11. Re:The image formation process is still the same by Anonymous Coward · · Score: 0

      The field being produced by the telescope optics is still the same, as the same primary mirror, secondary, etc. is being used to form the image. Yes, you can use multiphoton processes, even ones that are promoted by entangled photons, to produce apparently narrowed two-photon wavefunctions. However, this two-photon wavefunction is still derived from the ordinary resolution field created by the telescope optics. Therefore it seems to me that little is to be gained by using photon entangled detection to augment a process of image formation that is still fundamentally limited by the telescope aperture size.

      Similar arguments have been used for other forms of imaging (e.g. microscopy and optical coherence tomography) and they all have this issue as the image formation process is still essentially a linear scattering process. There was some excitement around quantum lithography, however, even that has the problem that the probability of two-photon processes can be quite small even with entangled photons. For inherently multiphoton processes, such as two-photon absorption, stimulated Raman scattering, etc. there may be an advantage of increasing resolution and lowering dose, but I don't see much of a benefit to improving an instrument where the image formation process is a linear imaging process.

      Ya I agree with you, this paper is nonsense. I guess that's why it's not published in a peer-reviewed journal.

    12. Re:The image formation process is still the same by amaurea · · Score: 1

      Then that particular frequency cannot be recovered. But this usually only happens at zero crossings, which make up a vanishingly small fraction of the frequencies involved. Of course when noise is also present, then it's enough for G to be very small rather than exactly zero, and that would kill all the higher frequencies.

    13. Re:The image formation process is still the same by Arkh89 · · Score: 1

      Look closely at the first graph of the MTF in my previous link (in the EN page, top of the page). It represents your G function for a perfect system (no aberration, only the diffraction introduced by the finite size of the aperture). What you can see is that after the 1.0/(Lambda F) cut-off (500mm^-1 in that particular graph), everything will be equal to 0, thus the optical system is not transmitting any spatial frequencies larger than 500mm^-1.

      This is not just "a couple of points", this is a hard physical limit to the resolution of your system.

    14. Re:The image formation process is still the same by amaurea · · Score: 1

      I think I found the figure you you're referring to. It's this one, right? I don't think that figure lets you distinguish small from zero due to its very poor dynamic range. A logarithic second axis would be much more informative.

      Here is an example of an MTF from an experiment I've worked on. It looks quite similar to the figure on the Wikipedia page, and by eye one might think that's it's reached zero by 18000 or so. But consider the logarithmic version of the same graph. As you can see, the graph had only fallen by about 20 dB by that point, and even at the end of the figure it's only down by 45 dB or so. So I don't think the Wikipedia figure supports your point.

    15. Re:The image formation process is still the same by Arkh89 · · Score: 1

      Ok, let's go to the Maths then : the OTF gives you how spatial frequencies are transferred through your optical system. You understand that it is equivalent to an auto-correlation of the aperture, right?
      Well, if the aperture is circular (a disc function, for a perfect system), the auto-correlation is equal to the area of the intersection between two shifted discs (of equal radius). This shift represents the spatial frequency : at 0 spatial frequency (the DC component), the discs are aligning perfectly and you get the highest transfer (=1); at high frequency, the two circle are shifted a lot and you have only the area corresponding to a very small cat's eye shape; at the cut-off, only a single point is common between the two discs; finally, after the cut-off the two discs are not intersecting anymore and thus the transfer function is EQUAL TO 0.

      In the case of your experiment, what was the cut-off frequency? (1.0/(Lambda F) where F is the F-Number of your optical system)
      Did you made measurements after that frequency?

      You can also read that kind of resource.

    16. Re:The image formation process is still the same by amaurea · · Score: 1

      The thing that's the self-convolution of the pupil function is the point spread function (g(theta) in my example from a few posts back). For the case of an ideal, top-hat shaped pupil function, the point spread function will fall to zero, and stay zero, at theta = 2*theta_pupil. But the optical transfer function (G(k) in my post) is the fourier transform of the point spread function. And the fourier transform of a function with limited support has unlimited support in fourier space. Hence, while the optical transfer function will never fall to zero in this case (or any other case with a sharp edge to the pupil function), except for occasional zero crossings.

    17. Re:The image formation process is still the same by Arkh89 · · Score: 1

      The thing that's the self-convolution of the pupil function is the point spread function (g(theta) in my example from a few posts back).

      Wrong. The Point Spread Function (in the case of incoherent imaging) is the magnitude squared of the Fourier Transform of the pupil function.

      You can read : Born & Wolf, Principle of Optics, Chapter 8, Section 5 : "Fraunhofer Diffraction at apertures of various forms" (see here, starting p436).

      For the case of an ideal, top-hat shaped pupil function, the point spread function will fall to zero, and stay zero, at theta = 2*theta_pupil.

      Wrong. In that case, the PSF will be similar to the Airy pattern (circular aperture) or a Cardinal Sine function (square/rectangular aperture). Both have unlimited support (see previous book reference).

      And the Fourier transform of a function with limited support has unlimited support in Fourier space.

      Right. And the Fourier transform of a function with an unlimited support in the direct space has a limited support in Fourier space.

      Hence, while the optical transfer function will never fall to zero in this case (or any other case with a sharp edge to the pupil function), except for occasional zero crossings.

      Wrong. The PSF has unlimited support, thus the OTF (and MTF) has limited support.

    18. Re:The image formation process is still the same by amaurea · · Score: 1

      Thanks for the book reference (though the missing pages were very annoying). You have convinced me. I guess it's good my job isn't designing telescope optics.

      To answer your question about the telescope: It's f-number is 2.5 at Gregorian focus, and we observe at 148 GHz. The optical transfer function plots I showed had multipole number on the horizontal axis.

    19. Re:The image formation process is still the same by Arkh89 · · Score: 1

      No problem. I know how difficult it is to "bridge" the multiple scientific domains required for today's projects.

  7. Entanglement aint what people are made to believe by Anonymous Coward · · Score: 0

    Its simply somehow 2 'quantum' objects are generated the same way (that gfilter turns 1 photon into 2 with the same quantum properties and they can go down different paths and hold that quantum 'value' to be used in parallel fo different things.

    There is no OH we change this one over here and THAT one changes too.

    Of course a typical problem is what states you can have for a 'photon' (like energy level) - Im not so sure how many others their coul be. Setting it (or a pair of them) to that state (with any accuracy) is often a seperat problem. Co-emitting pairs of photons of the same energy state is what they are doing.

    Another issueis that 'Reading' one of these split 'photons' is destructive, so if you can generate that 'copy' you have a spare taht once one is used up you still have the other to do something else with (a 'copy' that you can reference (once))

    Redirecting a photon to stear it a different direction --- shouldnt that change the 'state' of one photon versus another ???

    "to increase the information you have about the first" weird phrase meaning 'read its value so you know what the other one was BUT NOT what changes the other subsequently goes independantly thru.

    Seriously this quantum stuff is becoming the same old HYPED BS like so many things weve had in the past.

  8. Excited atoms by Anonymous Coward · · Score: 0

    "Her idea is to insert a crystalline sheet of excited atoms into the aperture of the telescope."

    I wonder who is going to excite the atoms and up to what point they should be excited. We know there is a point when they don't take any more excitement and go to sleep.

    Can they excite each other?

    So many details to figure out...

  9. Oh, great idea... by Vrallis · · Score: 1

    Just wait until we deal with the giant starfish, sentient lobsters and mirror girls.

  10. Path of Light and Clarity by ZahrGnosis · · Score: 1

    I remember reading somewhere (and I've spent nearly two minutes searching on Google, so you know it's somewhat obscure) that some people were concerned that our images of distant galaxies were TOO CLEAR. Their reasoning was that any given photon will take a (likely highly biased) random walk through quantum foam, or that the clarity actually helps disprove quantum foam theories (some information here: http://www.scientificamerican.com/article/is-space-digital/).

    I realize I'm light on details, and that's due to my memory and weak goggle-fu (I'm on a lot of [legal] drugs today) so go gently on ripping the science apart, but if anyone had actual references to the real theory, I'd be interested in its current efficacy, and how it relates to the /. article.

  11. Ich bin ein andere Grammarnazi by Applehu+Akbar · · Score: 1

    You mean 'bated breath'. Baited breath is what you get from eating fish.

  12. A question about the microscope by interkin3tic · · Score: 4, Informative

    I must have been actually working last month because I haven't heard about the entanglement-enhanced microscope. Does it do fluorescence microscopy? The was no mention of fluorescence in the article. It sounds like this is just better DIC imaging, which is of limited use in biology. Electron microscopy has (literally) been around since before the internet and has better resolution than anything you're going to get with light. Light microscopy seems to be primarily important today for basic stuff like whole tissue imaging (generally not requiring the resolution described here) or fluorescence microscopy, which it doesn't sound like this microscope can do. Fluorescence is useful because with most applications, you're trying to visualize a small thing in a much much much bigger volume of stuff. Like you're trying to see a protein within a cell within a tissue. Looking at cells with light for a small thing doesn't tell you much, you just see a blur. When the small thing is basically emitting it's own light, as happens sorta with fluorescence, you can see it.

    There are also already fluorescence based microscopy techniques which surpass the diffraction limit.

    I'm not going to say it doesn't sound useful, since most of the time, you only realize how useful a thing is once you already have it. I'll just say that if the microscope mentioned here doesn't do fluorescence, I can't think of anything one would use it for that they wouldn't be able to do better with EM or fluorescence microscopy.

    1. Re:A question about the microscope by Charliemopps · · Score: 1

      There is a big push now to create ultra-cheap microscopes for the developing world. This might be related to that. If you could get a powerful microscope that was the size of a postage stamp, that might help a lot of people. With this technique you could not only improve resolution, you could instead keep the same resolution and shrink the microscope by 25%

    2. Re:A question about the microscope by Anonymous Coward · · Score: 0

      this is just better DIC imaging

      Am I the only person who giggled when reading this?

    3. Re:A question about the microscope by czert · · Score: 2

      Well, for one thing, electron microscopy is a destructive process, so if you actually want your sample back, you will likely use light microscopy. Also, electron microscopy cannot capture a moving thing (a living cell, for example), as it takes a lot of time and goes "pixel by pixel", instead of capturing a whole frame at once. I'm sure there are a lot of other reasons why light microscopy could be far more practical.

  13. Patient of Patience by Tablizer · · Score: 1

    ...entangled photons, use one to illuminate the target and...

    Taken at face value, that would be sending photons to nebulas millions of light-years away, and then waiting another million+ years for them to bounce off the target and arrive back here.

    At least the cockroaches will have these great space-themed calenders.

    1. Re:Patient of Patience by commander_gallium · · Score: 2

      ...entangled photons, use one to illuminate the target and...

      Taken at face value, that would be sending photons to nebulas millions of light-years away, and then waiting another million+ years for them to bounce off the target and arrive back here.

      At least the cockroaches will have these great space-themed calenders.

      Maybe if there was a way to bounce photons off of the second half of the summary you'd have been able to read it.

  14. Re:Entanglement aint what people are made to belie by Anonymous Coward · · Score: 0

    You describe the Hidden Variables description of Quantum Mechanics, which was wiped by Bell's Inequality...
    Sorry...

  15. Satellite Images are better than that by Anonymous Coward · · Score: 0

    There are government limits on the quality of satellite images that can be made available.

    http://en.wikipedia.org/wiki/GeoEye-2

    This commercial bird would of had a resolution for .34 meters per pixel.

  16. i really didnt understand that by Anonymous Coward · · Score: 0

    but it sounds pretty cool! yea quantum physics bitch!

  17. Re:Entanglement aint what people are made to belie by Immerman · · Score: 1

    No.

    First off entangled particles aren't "copies", they're linked complements. I.e. in an entangled electron pair one will have an up spin, and one a down spin. And there very defintiely *is* an "Oh, we change this one over here and THAT one changes too", or at least that's the conclusion of every experiment thus far constructed to try to prove or disprove your proposition, that there are "hidden variables" set at the moment of entanglement. As best we can tell the entangled particles become a single interlinked wavefunction and doing something to particle 1's quantum state *will* change particle 2's state instantaneously, regardless of the intervening distance. And yes, at first glance this does appear to violate special relativity, but doesn't actually do so for two reasons: 1 - it appears to be impossible to meaningfully transmit information in this way, and 2 - particles don't actually possess locality. The wavefunction of every "particle" in the universe exists simultaneously at all points in the universe, even if it's almost entirely focussed within a single small volume. Yes, it's brain-bending stuff, but all the experiments and math so far point strongly to the fact that it's the truth.

    Secondly you only destroy the entanglement if you do something to one "particle" that depends on the quantum state. A lens that treats every photon the same will not disrupt the quantum state, and thus entanglement will be preserved.

    And finally there's nothing weird about "to increase the information you have about the first" - so long as entanglement is maintained the particles quantum state *cannot* change independently. You need to make the measurements pretty much simultaneously (i.e. "second" refers to "the particle labeled as 2", not "the particle we measured later"), but when you do so you know that particle 1's detection will have a certain amount of quantum distortion to it, while particle 2 will have a complementary quantum distortion. By comparing the two you can then determine the nature of the distortion (to within certain limits) and computationally remove it from your measurements.

    --
    --- Most topics have many sides worth arguing, allow me to take one opposite you.
  18. Holy Crap! I remember this ....... by sgt_doom · · Score: 1

    ..... it was called Tom Swift and His Megascope Space Projector --- never thought it would actually work, though?

  19. Promises, promises by sgt_doom · · Score: 1

    I promise that How to Build a Quantum Telescope will go on my bookshelf right next to How to Stuff a Wild Bikini 'cause I'm soooo serious......

  20. Mirrors by Katatsumuri · · Score: 1

    I thought most modern telescopes used mirrors instead of lenses to avoid diffraction. Well, maybe there are still some lenses left in the system, or maybe we can switch back to lenses if this works. Also, the research is interesting anyway.

    1. Re:Mirrors by Anonymous Coward · · Score: 0

      I thought most modern telescopes used mirrors instead of lenses to avoid diffraction. Well, maybe there are still some lenses left in the system, or maybe we can switch back to lenses if this works. Also, the research is interesting anyway.

      Light travels all paths of an optical surface simultaneously, and the resulting electric field at the detector is the integral over all paths. The intensity (what you measure with a detector) is the absolute value of the electric field squared. Both mirrors and lenses rely on a difference in optical path length between different parts of the optical surface to create an image, and thus neither "avoid diffraction." The advantage of mirrors is that glass for lenses has chromatic abberation (light of different wavelengths experiences a slightly difference refractive index and thus path length). But the "diffraction limit" still holds for both mirrors and lenses. Stay in school kid.

    2. Re:Mirrors by Carnildo · · Score: 1

      No, modern telescopes use mirrors instead of lenses for two reasons:

      1) Once a lens gets more than about a meter across, it starts deforming measurably under its own weight (and the direction and amount of deformation changes as you shift the telescope). A mirror can be supported across its entire width and does not have this problem.

      2) A lens experiences chromatic aberration, causing different frequencies of light to focus at different points. You can reduce (but not eliminate) this by using achromatic doublets or other optical tricks (such as absurdly long telescopes), or you can take the easy way out and just use a mirror.

      --
      "They redundantly repeated themselves over and over again incessantly without end ad infinitum" -- ibid.
  21. Re:Holy Crap! I remember this ....... by Anonymous Coward · · Score: 0

    Tom Swift and His Megascope Space PROBER. How could you mess that up?

  22. How do you get... by Anonymous Coward · · Score: 0

    ... a crystalline sheet of excited atoms? Do the electrons dance for them? Dance of the Seven Wave functions perhaps?

  23. Unecessary by Anonymous Coward · · Score: 0

    Physicists are already working on meta-materials with a negative diffraction index and work without the need for glass at all.