Archived posting to the Leica Users Group, 2001/08/03
[Author Prev] [Author Next] [Thread Prev] [Thread Next] [Author Index] [Topic Index] [Home] [Search]I was wondering if one took a small glass sphere- and here I was thinking specifically of a round sapphire lens about 2mm in diameter that Edmund Scientific sells for about $10- and mounted it in a sheet of something like shim brass, equipped with a pinhole aperture, if the image would be any good....? Dan (With entirely too much time on his hands)Post - ----- Original Message ----- From: "Malcolm McCullough" <MM4@mm-croy.mottmac.com> To: <leica-users@mejac.palo-alto.ca.us> Sent: Friday, August 03, 2001 12:12 PM Subject: [Leica] OT pinhole lenses > D Khong stirred the pot with: > > >If I am not mistaken, pin-hole lenses are used in architectural > >photography. Straight lines must be strait, everything is in focus, the > >image is distortion free. > > Dan, > I wonder if you are referring to glass lenses with a very very small > aperture rather than a plain pinhole (hence the term 'pinhole lens')? > Despite what someone or other claims, a plain pinhole does not focus light > rays (LUGgers please contact me off-list if you disagree with that > statement) so the image they produce always looks rather blurred. The > addition of a simple refractive (eg glass) element to a pinhole that is not > diffraction limited improves the image significantly because it brings the > light rays to a focus. The aberrations created by the refractive element > will be small because of the very small aperture. This is a really easy > experiment to carry out if you have a close-up lens. > > So-called 'Pinhole Lenses' are frequently used in surveillance video cameras > and the like. These are generally a bit of a misnomer, because they are > small refractive lenses (often glass in the better ones) of very short focal > length and wider aperture than a plain pinhole. Typical specs might be an > f/2 4mm lens or an f/1 2.8 mm lens. They can have focussing mounts - which a > plain pinhole would not need because it doesn't focus. > > For distortion-free images with a pinhole the film should be held on an arc > with the pinhole at the origin (strictly speaking the film should be held on > a spherical surface - beginning to look a bit like an eye). > > The diffraction-limited resolution is dependent upon the 'focal length' of > the pinhole. The formula for diffraction limiting can be easily re-written > to give the pinhole diameter in terms of the 'focal length': > > d^2 = 2 * wavelength * focal length > > This gives the following lengths (in mm), pinhole sizes (in mm), f stops and > resolutions (in lppmm) using the wavelength of red light: > 28 0.20 f/141 2.5 (eg a Leica body cap with a hole in it) > 35 0.22 f/158 2.3 > 50 0.26 f/189 1.9 > 75 0.32 f/231 1.5 > 100 0.37 f/267 1.3 > 150 0.46 f/327 1.1 > > Regards, > Malcolm > > > > >