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Talk:Aspheric lens

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1284:(tilge) characters. As to the questions, I have reviewed several blogs at the CloudyNights telescope review pages, and consistenly owners of quality telescope systems that have emailed the manufacturers often ask about the non-spherical surfaces, and some have received replies that you can read at the blog about the optical designs being a propriety priveledge & company secret with patents pending, so that many of the complex lens systems being studied that use aspheric, parabolic, and hyperbolic curvatures are tested for specific purposes at the manufacturer, depending on wavelength, coma, spherical abberation, chromatic abberation, refractive index, ect. The "best" fit is what makes it to the market place for consumers buying the product, and they are not perfect, but are the best known combinations that theory can employ. 84: 1863:"Verification needed" means that someone needs to actually go check the cited sources and verify that they say what the article claims. There was a problem a few years ago with an enthusiastic editor who added a lot of material about Ibn Sahl and other Islamic scientists and mathematicians to many Knowledge articles. The editor's contributions contained many citations, but on closer examination many of the claims were not adequately supported. I presume the "verification needed" tag is a leftover from that incident, but some digging would be needed to figure out whether this claim is properly supported. 689:
phases being collimated before reaching Cardinal points (optics) for higher definition and point to point traversal of successively smaller diameter optical tubes, there isn't any easier way to express these compound abstracts, except to try and put them together. In terms of pixels, high definition is considered to be 1920 X 1080. This is difficult at best to describe in terms of a distant source emitting individual collimated light rays that reach a complex lens system.
828:, the descriptions are not reflecting, less refracting, and more of a warp of electromagnetic flux that funnels into successively smaller diameters of re-collimated waveforms, ultimately reaching an array with enough energy to trigger components that begin the initial electronic processing used to interpret point-to-point facsimiles of objects several light years wide upon sensor arrays that detect infra-red, ultra-violet, and visible light spectrums. 74: 53: 179: 158: 809:
array was determined by a count of Newton rings. They go on to say that image details are limited only by available computing power, based on the software program running (256)^2 attributes per pixel in an array of 1920X1080 pixels at 30 fps. This optical system does not use any reflecting lenses, and the array being flat limits it's use solely to astronomical surveillance.
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know how Ibn Sahl expressed this without knowing trigonometric functions. It is well explained in the Ibn Sahl Knowledge article.) I stumbled on this passage and I felt it is awkward as it is - still do - but did not want to change this before checking on the talk page. I believe the BBC professor but if there are strong feelings a about this, I leave it as is. Wkr.
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products are confounding the advancements of study in this improvement of systems requiring delicate ray tracing techniques, understanding of aberrations, indices, impurities, entrance/exit pupils, and criteria generally studied in the field of Physics under academic scrutiny, but not limited from commercial, or ophthalmic applications.
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the definition of quantities. Very few texts give a chart of definitions: they only include the inference from context building an equation. Most useful would be a legend of the math symbols, units, tolerances, and other properties. From the standpoint of engineering, a legend would seem more practicle & less theoretical.
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error—a misalignment between the optical centers of the two surfaces. The blanket statement that "the lenses are so well produced..." is clearly contradicted by this source, so I have removed it. I highly doubt that that statement would be true of even the best of the lenses, impressive as its imaging quality may be. --
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Dear Srleffler. I will leave this as is, and neither verify nor modify. I do not want to become involved in a controversy around this. (I am not a specialist in this field. I had heard a professor in the history of science state on the BBC radio that Ibn Sahl discovered Snell's law, and I wanted to
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I am pretty sure this formula is wrong. z cannot be as defined as it does not reduce to a sphere for any value of k (with the As zero). I think z(r) is meant to be the Saggital Distance, often called SAG, not as it is at the moment "the z-component of the displacement of the surface from the vertex,
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Now, consider if the Hubble Space telescope were designed to retrieve 1920 X 1080 individual collimated light rays, and without "folding" them, avoid any interference between neighbors & fit each & all the rays onto a rectangle 2/3" in width, with a 16:9 aspect ratio for the new ATSC plasma
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Conflicts in the description of aspheric lenses and their use exist mainly from the discovery of use needing techniques to determine their improvement of optic systems, a subjective process that may involve deciding which "looks best", 1 or 2. Wholesale commercialization by manufacturers promoting
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That may have been too harsh. His edit looks like it was done in good faith to me. Looking at the article, I can see that someone who primarily knows about ophthalmic optics might find it lacking. The section "Non-optical advantages of aspheric eyeglass lenses" is particularly bad, but I don't know
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article contained some statements that were not supported by the cited sources. The Schmidt reference cited there describes a study of seven of the lenses, only two of which showed signs of having been optimized for good image quality, and one of the two "good" lenses had an apparent manufacturing
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There are now several extremophile lens systems out there where the projected image is bent at nearly an 80-degree angle towards the bottom of the screen, from a wall mounted projector directly above the screen without any arm holding it out in space a meter or more away. I am really interested to
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Yes, this is where math often fails in working with optics. Because the variables are measurements indexed in units defined by previous work, we're using values that rarely match calibrations used to categorize power, curvature, and other properties. The textbooks leave little comfort concerning
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Other surface profiles can be used; in general the form is somewhat arbitrary. Optical software models propagation through NURBS surfaces, so in principle these could be used for aspheric lenses, but in practice they are not well suited to numerical optimization. NURBS is more useful for exporting
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Lord Oxmantown's team worked primarily on the metalurgy to create the surfacing machine that produced the larger diameter reflecting lens. His inclinations toward the end of the publication were towards testing parabolic form. Concerning modern ray tracing, and individual ray's particle waveform
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These notes did not conclude with why the Hubble is obsolete. They continue to describe a flat array of sensors, each fitted with composite optical tubes that resist internal reflections but are durable in extreme conditions, where precision of the flatness of the sensor plate that contains the
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I added a section for discussing camera lenses and moved the information on the abbreviation there. I removed the list of camera lenses. I don't see a list of every aspheric camera lens ever made to be a useful addition to the article. I also question whether Knowledge ought to have articles on
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You answer your own question as if to beg to differ, and leave no quadruple tilge as requested when adding comments for your screen name to be identified. Identifying yourself would allow others to make comments on your talk page. When making any additions, please sign your comments with 4 ~
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The "See also" section lists Hyperbola and Parabola. While it's obvious at least the left surface of the lens shown on the picture is neither hyperbolic nor parabolic. Why the hyperbola and parabola are here? What's the typical shape of the lens surface? Is it а 3-4 degree polynomial, or just
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Not quite sure what you're getting at there. Light rays do not really exist. They are a convenient abstraction for modeling, that represent some but not all of light's properties. The number of "rays" one considers in an optical system has nothing at all to do with the number of pixels on the
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Not non-sense, just hard to make sense of modern development . . . difficult to understand the context of ray tracing used here in reflecting telescopes as they increase the diameter of the reflecting lens, and improve on imaging systems. In particular improving designs like the Hubble Space
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for telescopes. His achievement in that regard was in developing a way to produce large mirrors that deviated from spherical form while retaining good optical figure (thereby having reduced spherical aberration). The rest of your paragraph above doesn't make any sense to me at all. It seems
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An aspheric lens in ophthalmic optics don't always have rotationally symmetric surfaces. For the correction of astigmatism an aspheric ophthalmic lens has a single aspheric surface with rotational symmetry, and a toroidal surface which is not rotational symmetric. Some lenses even have a
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Please don't move this page to "Aspherical lens" (which now redirects to this article). The universal term for these in the optics industry is (AFAIK) "aspheric lens" (or "asphere"). I just did a quick survey of a half dozen major optics vendors. Every single one uses the latter
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Amplification of details produced not so much by a point of focus, but by the concentration of light rays within an optical tube, still separated and not having crossed paths before coming to focus, compressed into tubes of successively smaller diameter, and remaining
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There is a 'verification needed'. after the statement that Sahl first discovered Snell's law. This puzzles me as there are two bona fide references. The scame ststatement is in the article on Sahl. I suggest to remove the verifiication request. Objections?
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my comments come from, reading hundreds of posts on Optiboard forum. I will try to cite something, but it is difficult, as there is much conflicting info, and lots of advertising copy. Apologies to everybody,BTW. None of my comments apply to photography lenses.
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Yes, you're correct, and this was exactly the right place to put your comment. I think the notation in the formula is better, since the surface profile is really a function of radius, not height. We should probably edit the image or replace it with a better
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I thought it was harsh of him to call the article complete BS and then add unsupported claims to the lead, with a misspelling of a word that one knowledgeable in this field should be very familiar with. So I figured it was good to challenge him to fix it.
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No a $ 700 DSLR lens doesn't fit into an inexpensive consumer camera. If it contains a single molded asphere, they are charging way too much for it. Molded glass aspheres cost about $ 50 in small quantities; maybe half that in volume. Plastic lenses are
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I am trying to figure out who manufactures ultra short throw lenses, and I'm trying to find some sort of history or discussion of how they are developed. I work with these on a regular basis and I am interested to know where the technology originates.
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I removed the paragraph again. Let's work out wording here before reinserting it into the article. As it stands, I can't even tell what you are trying to say, much less evaluate whether it is correct. Either way, it is not supported by a
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The style of the article is written in an unencyclopaedic manner. There appears to be an account of a personal experience in the first person. Also, the diagram in the middle of the article is not well drawn. Can anyone improve on this?
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OK, most of the article is not BS. Eyeglasses only, aspherics offer a reduction in thicknesss of 20% or so, at the expense of increased off-axis astigmatism and different geometric distortion, as compared to a spherical base (front)
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Just to add a value to this last question, most literature use a variable "z" for curvature (z = 1/R) so as the colleague said, for evaluating formulation is more clear to use the first one, and contribution in the root is small.
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prevents an editor from repeatedly inserting or deleting the same material over and over again. Any editor who reverts edits on one article more than three times in a 24 hour period can be blocked from further
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non-rotationally symetric aspheric surface (eg. a biaspheric ophthalmic lens for the correction of astigmatism) The term "whose surfaces have a profile that is rotationally symmetric" should be removed.
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summarily produce a better facsimile of an object from point to point without interference between each ray's particle waveform phase at the final point of focus upon a grid of light sensors, ie. the
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Do you know of a reference (print or online) that supports that? I don't doubt your claim, but it's helpful to Knowledge to be able to back up the information that appears in the articles.--
708:. While it is aspheric, it is off-topic for this article because it is not a lens. It's an interesting paper, though. It's clear he was aware in advance of the desirability of a 2132: 195: 1205:
of the surface. Simple aspheres may have zero for all the alpha coefficients, in which case the surface is elliptical, hyperbolic, or parabolic depending on the value of
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screens, maintaining original ray particle waveform phase during the complex lens system processing, until it can converge onto the chip, and be digitally cinemagraphed.
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He did sign his post properly. He isn't editing from a user account, so the software signs his message with his IP address instead of a username. This is normal.--
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know what the shape profile is of these lenses and how the lenses are being manufactured, and it would probably make a useful addition to this article as well.
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Since the lenses are permanent components of projectors, the projector manufacturers have no need or desire to tell where they get their lens assemblies from.
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The shape is typically optimized for the particular application using a raytracing application on computer. One common formula for the shape of the surface is
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That's what I was afraid of. We can't have you putting in stuff that learned from reading forums. That's just hearsay, not backed up by anything reliable.
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BTW $ 700 DSLR lenses are much more complex then just a single asphere. Look at this one (sony 18-250) I was keeping in mind when I was asking my question:
748:. Reflecting optics work a lot better for telescopes than they do for camera lenses. Many of their defects are not relevant for astronomical photography.-- 1105:{\displaystyle z(r)={\frac {r^{2}}{R\left(1+{\sqrt {1-(1+K){\frac {r^{2}}{R^{2}}}}}\right)}}+\alpha _{1}r^{2}+\alpha _{2}r^{4}+\alpha _{3}r^{6}+\cdots ,} 1866:
I certainly object to simply removing the verification request without further research. Either verify the claims, or remove the material altogether.--
1685:"Sagittal Depth. Sagittal depth is the distance from the vertex of the contact lens surface to a chord drawn across the surface at a known diameter." 1668:
as I still haven't found it elsewhere. I wonder if anyone knows of a paper explaining why this series is a good one for optimising aspherical lenses?
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to fit with the formula? (Forgive me my ignorance, these are one of my first words on Knowledge and I didn't find another place to put my comment)
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Do modern $ 700+ DSLR lenses fit into "inexpensive consumer cameras" ? If no then what manufacturing method use companies like tamron and sony?
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Sounds like something that might well be proprietary: the projector manufacturers may well design their own lenses and have them custom-made.--
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The Diagram has been modified by the original auther, so as part of tidying up the Reqdiagram page, I am removing the Diagram Requested tag.
1587: 1554: 866:, or complete nonsense. Fortunately, it seems to be completely off-topic for this article, so no further analysis of it seems necessary.-- 2152: 1262: 896: 106: 717:. Knowledge does not publish original research. If you want to talk about this stuff in the article, you are going to have to cite a 2122: 2038:
When you have finished reviewing my changes, you may follow the instructions on the template below to fix any issues with the URLs.
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Thinking about this further, I'm not sure that the entire present "astronomical uses" section shouldn't be deleted. This article is
1981:, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section. 2137: 1798: 2029:
https://web.archive.org/web/20141006154248/http://www.looklens.com/camera-lens-tips/what-do-aspheric-or-aspherical-mean-3.html
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That seems fine. The other form might be preferred because it makes the behaviour clear in the important limiting case where
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detector. The performance of the system is limited by design and fabrication constraints, and by fundamental physics such as
598:. The reference you added seems to be a dead link, and you said in your edit comment that it is not a complete source anyway. 1502:
i.e. move R into the brackets, and thence R^2 inside the sqrt. It reduces the nesting level of both brackets and fractions.
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Powerful words from someone who can't spell. I'm going to back out your change until you tell us what's behind it.
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lenses designed using some other definition of surface form (like the formula above), for use in a CAD program.--
843:"There is no competition", says the NASA contractor, Grumman-Northrop at the Goddard Space Center concerning the 561:
Preserving the integrity of parallel light paths may involve not bombarding them into the same converging point.
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http://www.opticampus.com/cecourse.php?url=lens_design/&OPTICAMP=f1e4252df70c63961503c46d0c8d8b60#asphericity
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to delete these "External links modified" talk page sections if they want to de-clutter talk pages, but see the
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for an article entitled Mirror Lenses (Technology - Technology). It describes flaws in reflecting telescopes.
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go down about 90% of the page, to 'Aspheric Lens Design'. Uf you have something more reliable, please indicate.
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Would that equation not be more simply expressed as (and I hope I don't fark this up, please double-check)
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If you have discovered URLs which were erroneously considered dead by the bot, you can report them with
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I can't tell whether the text you have written here is an incoherent explanation of some other work, or
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enough about it to rewrite it. If CorvetteZ51 does know something about it, he may have a lot to add.--
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The diagram needs to have definitions for all the quantities e.g. R is the radius of curvature, etc.
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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before doing mass systematic removals. This message is updated dynamically through the template
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Apology accepted, as Stephen Colbert would say. So find us a good source and write that up.
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from a distant source so an image has not yet converged, and light paths have not crossed
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are by definition short. Anything longer than about a screenful of text is not a stub.--
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If you found an error with any archives or the URLs themselves, you can fix them with
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This article could have sooooo much more information. I'm marking it an optics stub.
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Last edited at 23:55, 28 June 2007 (UTC). Substituted at 08:27, 29 April 2016 (UTC)
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These two pages contradict each other on the optical quality of the Visby lenses:
721:(assuming the material is actually relevant to the article, and otherwise suitable). 603:
Please don't reinsert the paragraph until we discuss it further here. Note that the
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http://www.looklens.com/camera-lens-tips/what-do-aspheric-or-aspherical-mean-3.html
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Thanks in advance to anyone with the competence and willing to update the article.
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There is also something wrong with the history. Newton made a telescope with at
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This topic migrates from aspheric to afocal, but unlike current material on
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http://www.photoreview.com.au/reviews/cameraaccessories/optical_diagram.jpg
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I concur, the term Aspheric has entered into mainstream use in optometry.
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What is this paragraph trying to say? The wording is very confusing. --
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being scheduled for deployment in 2013 aboard Orion class vehicles.
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Yes thanks, I am convinced now. I wrote out a quick derivation here
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I'm familiar with photographic mirror lenses. They are discussed at
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It's not a reflecting lens. It's a reflecting mirror, made of solid
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for additional information. I made the following changes:
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Catadioptric system#Photographic catadioptric lenses
190:, a collaborative effort to improve the coverage of 101:, a collaborative effort to improve the coverage of 2055:using the archive tool instructions below. Editors 1490: 1217: 1193: 1173: 1145: 1104: 1778:label in the diagram on the right side not be a 1977:, and are posted here for posterity. Following 1643:That is what sag is, and the article says that 2041:This message was posted before February 2018. 667:Actually, Newton's was spherical according to 627:. The telescopes described are using aspheric 204:Knowledge:WikiProject Physics/Taskforces/Glass 1971:The comment(s) below were originally left at 8: 1952:individual specific models of camera lens.-- 1161:of the surface from the vertex, at distance 2133:C-Class physics articles of Low-importance 2011:I have just modified one external link on 1682:I was confused by the term Sagittal Depth 152: 47: 1473: 1463: 1450: 1440: 1427: 1417: 1399: 1371: 1365: 1352: 1346: 1329: 1210: 1186: 1166: 1129: 1087: 1077: 1064: 1054: 1041: 1031: 1006: 996: 990: 967: 946: 940: 923: 2148:C-Class glass articles of Low-importance 1905:http://en.m.wikipedia.org/Aspheric_lens 154: 49: 19: 1909:http://en.m.wikipedia.org/Visby_lenses 727:http://www.photozone.de/mirror-lenses 541:Discussing the most current relevance 263:"The best ideas are common property." 7: 474:D., you will find this interesting. 184:This article is within the scope of 95:This article is within the scope of 1725:Ultra short throw projector lenses? 38:It is of interest to the following 304:the current article is complete BS 14: 2015:. Please take a moment to review 1979:several discussions in past years 498:Thanks, looks like an OK source. 177: 156: 82: 72: 51: 20: 2128:Low-importance physics articles 1899:Contradiction with another page 713:incoherent. It also looks like 224:This article has been rated as 135:This article has been rated as 1628:at distance r from the axis". 1392: 1380: 1340: 1334: 1140: 1134: 987: 975: 934: 928: 631:. The material is off-topic.-- 1: 2143:Low-importance glass articles 1962:21:09, 22 November 2015 (UTC) 1615:15:34, 10 February 2010 (UTC) 876:04:17, 11 November 2008 (UTC) 857:23:13, 10 November 2008 (UTC) 838:20:36, 10 November 2008 (UTC) 819:15:57, 10 November 2008 (UTC) 774:02:51, 10 November 2008 (UTC) 758:04:47, 10 November 2008 (UTC) 739:02:44, 10 November 2008 (UTC) 699:01:48, 10 November 2008 (UTC) 466:18:07, 29 February 2008 (UTC) 448:15:56, 29 February 2008 (UTC) 429:16:16, 28 February 2008 (UTC) 409:16:18, 28 February 2008 (UTC) 391:15:34, 28 February 2008 (UTC) 370:02:38, 28 February 2008 (UTC) 347:18:59, 27 February 2008 (UTC) 332:16:01, 27 February 2008 (UTC) 317:12:53, 27 February 2008 (UTC) 198:and see a list of open tasks. 115:Knowledge:WikiProject Physics 109:and see a list of open tasks. 1926:This article was right. The 1821:03:58, 6 December 2012 (UTC) 1803:02:28, 6 December 2012 (UTC) 1695:15:03, 16 January 2011 (UTC) 1678:14:57, 16 January 2011 (UTC) 1661:15:50, 15 January 2011 (UTC) 1638:14:44, 15 January 2011 (UTC) 1596:21:24, 7 February 2010 (UTC) 681:22:43, 9 November 2008 (UTC) 663:21:43, 9 November 2008 (UTC) 641:21:41, 9 November 2008 (UTC) 618:21:19, 9 November 2008 (UTC) 588:18:56, 9 November 2008 (UTC) 577:18:13, 9 November 2008 (UTC) 530:19:16, 8 November 2008 (UTC) 298:15:32, 13 January 2008 (UTC) 280:05:01, 13 January 2008 (UTC) 257:12:54, 6 December 2005 (UTC) 118:Template:WikiProject Physics 1974:Talk:Aspheric lens/Comments 1542:04:06, 30 August 2012 (UTC) 1512:16:20, 28 August 2012 (UTC) 2169: 2153:WikiProject Glass articles 2072:(last update: 5 June 2024) 2008:Hello fellow Wikipedians, 1941:05:52, 24 April 2015 (UTC) 1921:03:25, 24 April 2015 (UTC) 1891:07:25, 12 April 2014 (UTC) 1876:06:30, 12 April 2014 (UTC) 1858:20:00, 11 April 2014 (UTC) 1770:The label h is not correct 1720:12:26, 23 March 2011 (UTC) 1563:13:21, 7 August 2013 (UTC) 1201:is then defined to be the 1120:is presumed to lie in the 890:arbitrary NURBS, or what? 845:James Webb Space Telescope 207:Template:WikiProject Glass 141:project's importance scale 2109:18:50, 10 July 2017 (UTC) 1993:23:55, 28 June 2007 (UTC) 1986: 1764:00:37, 28 June 2011 (UTC) 1749:10:24, 27 June 2011 (UTC) 882:A questions unclear to me 508:16:04, 1 March 2008 (UTC) 491:11:55, 1 March 2008 (UTC) 266:02:16, 18 July 2007 (UTC) 223: 172: 134: 67: 46: 2123:C-Class physics articles 1835:10:44, 1 June 2014 (UTC) 1308:04:01, 3 June 2009 (UTC) 1294:03:50, 3 June 2009 (UTC) 1271:21:04, 2 June 2009 (UTC) 1253:Srleffler, thanks a lot! 1157:—the z-component of the 552:Cardinal points (optics) 2004:External links modified 1245:03:39, 2 May 2009 (UTC) 905:22:58, 1 May 2009 (UTC) 2138:C-Class glass articles 1492: 1225:, which is called the 1219: 1195: 1175: 1147: 1106: 583:telescope is a goal. 538: 28:This article is rated 1947:List of camera lenses 1576:Define all quantities 1493: 1220: 1196: 1176: 1148: 1107: 533: 2053:regular verification 1328: 1209: 1185: 1165: 1146:{\displaystyle z(r)} 1128: 922: 796:) 04:47, 10 November 784:and conservation of 2043:After February 2018 1705:rotational symmetry 1203:radius of curvature 804:the obsolete Hubble 649:parabolic reflector 516:Confusing paragraph 98:WikiProject Physics 2097:InternetArchiveBot 2048:InternetArchiveBot 1967:Assessment comment 1488: 1215: 1191: 1171: 1143: 1102: 34:content assessment 2073: 1998: 1997: 1806: 1789:comment added by 1586:comment added by 1553:comment added by 1408: 1405: 1218:{\displaystyle K} 1194:{\displaystyle R} 1174:{\displaystyle r} 1022: 1014: 1012: 864:original research 715:original research 605:three-revert rule 244: 243: 240: 239: 236: 235: 187:WikiProject Glass 151: 150: 147: 146: 2160: 2107: 2098: 2071: 2070: 2049: 1984: 1983: 1976: 1805: 1783: 1607:StationNT5Bmedia 1598: 1565: 1497: 1495: 1494: 1489: 1478: 1477: 1468: 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608:editing.-- 548:collimated 2087:this tool 2080:this tool 1954:Srleffler 1933:Srleffler 1883:Karloman2 1868:Srleffler 1850:Karloman2 1813:Srleffler 1791:Halirutan 1756:Srleffler 1653:Srleffler 1534:Srleffler 1300:Srleffler 1237:Srleffler 868:Srleffler 790:Srleffler 750:Srleffler 669:this book 655:Srleffler 633:Srleffler 610:Srleffler 522:Srleffler 401:Srleffler 339:Srleffler 290:Srleffler 254:Srleffler 2093:Cheers.— 1913:Pollifax 1843:Ibn Sahl 1799:contribs 1787:unsigned 1741:DMahalko 1712:Its liam 1687:Billlion 1670:Billlion 1630:Billlion 1584:unsigned 1551:unsigned 911:cheaper. 706:speculum 673:Dicklyon 651:in 1689. 500:Dicklyon 458:Dicklyon 421:Dicklyon 362:Dicklyon 324:Dicklyon 247:Untitled 2017:my edit 1827:Egmason 1504:Fatphil 1153:is the 786:etendue 629:mirrors 252:term.-- 228:on the 139:on the 112:Physics 103:Physics 59:Physics 30:C-class 1811:one.-- 725:Visit 556:macula 381:curve. 272:Garvin 36:scale. 286:Stubs 201:Glass 192:glass 164:Glass 1958:talk 1937:talk 1917:talk 1887:talk 1872:talk 1854:talk 1831:talk 1817:talk 1795:talk 1760:talk 1745:talk 1716:talk 1691:talk 1674:talk 1657:talk 1634:talk 1611:talk 1592:talk 1559:talk 1538:talk 1508:talk 1304:talk 1290:talk 1267:talk 1241:talk 901:talk 872:talk 853:talk 834:talk 815:talk 794:talk 770:talk 754:talk 735:talk 695:talk 677:talk 659:talk 637:talk 614:talk 526:talk 504:talk 487:talk 462:talk 444:talk 425:talk 405:talk 387:talk 366:talk 343:talk 328:talk 313:talk 294:talk 276:talk 2061:RfC 2031:to 1990:Amy 1155:sag 788:.-- 220:Low 131:Low 2119:: 2074:. 2069:}} 2065:{{ 1960:) 1939:) 1919:) 1889:) 1874:) 1856:) 1833:) 1819:) 1801:) 1797:• 1762:) 1747:) 1718:) 1693:) 1676:) 1659:) 1636:) 1613:) 1594:) 1561:) 1540:) 1510:) 1483:⋯ 1461:α 1438:α 1415:α 1378:− 1306:) 1292:) 1269:) 1243:) 1097:⋯ 1075:α 1052:α 1029:α 973:− 903:) 874:) 855:) 836:) 817:) 772:) 756:) 737:) 697:) 679:) 661:) 653:-- 639:) 616:) 558:. 528:) 506:) 489:) 464:) 446:) 427:) 407:) 389:) 368:) 345:) 330:) 315:) 296:) 278:) 2106:) 2102:( 2089:. 2082:. 1956:( 1935:( 1915:( 1885:( 1870:( 1852:( 1829:( 1815:( 1793:( 1780:r 1776:h 1758:( 1743:( 1714:( 1689:( 1672:( 1655:( 1649:r 1647:( 1645:z 1632:( 1609:( 1590:( 1557:( 1536:( 1530:R 1528:/ 1526:r 1506:( 1486:, 1480:+ 1475:6 1471:r 1465:3 1457:+ 1452:4 1448:r 1442:2 1434:+ 1429:2 1425:r 1419:1 1411:+ 1401:2 1397:r 1393:) 1390:K 1387:+ 1384:1 1381:( 1373:2 1369:R 1363:+ 1360:R 1354:2 1350:r 1344:= 1341:) 1338:r 1335:( 1332:z 1302:( 1288:( 1265:( 1239:( 1229:. 1213:K 1189:R 1169:r 1141:) 1138:r 1135:( 1132:z 1122:z 1100:, 1094:+ 1089:6 1085:r 1079:3 1071:+ 1066:4 1062:r 1056:2 1048:+ 1043:2 1039:r 1033:1 1025:+ 1018:) 1008:2 1004:R 998:2 994:r 988:) 985:K 982:+ 979:1 976:( 970:1 965:+ 962:1 958:( 954:R 948:2 944:r 938:= 935:) 932:r 929:( 926:z 899:( 870:( 851:( 832:( 813:( 792:( 768:( 752:( 733:( 693:( 675:( 657:( 635:( 612:( 568:. 524:( 502:( 485:( 460:( 442:( 423:( 403:( 385:( 364:( 341:( 326:( 311:( 292:( 274:( 232:. 143:. 42::

Index


content assessment
WikiProjects
WikiProject icon
Physics
WikiProject icon
icon
Physics portal
WikiProject Physics
Physics
the discussion
Low
project's importance scale
WikiProject icon
Glass
WikiProject icon
WikiProject Glass
glass
the discussion
Low
importance scale
Srleffler
12:54, 6 December 2005 (UTC)
"The best ideas are common property."
02:16, 18 July 2007 (UTC)
Garvin
talk
05:01, 13 January 2008 (UTC)
Stubs
Srleffler

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