Digital camera photography is still evolving, albeit rapidly. The situation is akin to 35mm photography in the 1930 - 1940's time frame, when camera lenses were not removable. In order to take a picture through a telescope or microscope, the concept of "Afocal Photography" emerged. In this case the user will focus (20 - 20 corrected if required) the telescope to get the image. The camera will be independently set at infinity focus, so that when both the camera and telescope are coupled, one can take a picture. The "Real" image for the camera is the "Virtual" image projected by the telescope eyepiece. Results are best confirmed by using the Liquid Crystal Display (LCD) screen at the rear of most digital camera's. The Equivalent Focal Length (EFL) is given by:
EFL = Telescope (microscope) Power x Camera Focal Length
f / ratio = EFL / Aperture of telescope
In order to minimize vignetting, the camera should always be set a full zoom (for the Olympus C2000/C2020/C3040 this is 105mm).
The Afocal hookup is rather easy. In fact some users have handheld the camera up to the eyepiece when the shutter
speed is rather fast. The Olympus camera's have a remote control, so handholding is feasible.
Any system that provides a virtual image of parallel light rays can be photographed afocally with a digital camera. This includes binoculars, spotting scopes, telescopes, and microscopes. Most of the low power (< 3x) commercial teleconverters, are really small Galilean telescopes, consisting of a positive achromat and a concave rear element. These devices are easily made using surplus optics and PVC plumbing fixtures.
The teleconverter magnification consists of dividing the focal length of the achromat by the focal length of the negative rear element. the galilean (named after the astronomer Galileo Galilei) is a negative afocal system (because the image is virtual and projected between the lense elements), and produces an erect image. A positive afocal system covers those designs that produce a projected image outside the system (e.g. telescopes, binoculars).
One of the easier ways of making an afocal system is by coupling an eyepiece to any of the those 35mm SLR (or photo enlarging or copy lenses) lying around. Typically, a 135mm telephoto lens and a 25mm eyepiece will provide a 5.4x telescope. The following diagram shows a method than can be used to couple T-mount telephoto lens to an Olympus C2000 - C3040 digital camera, with some of the components available from Edmund Industrial Optics (e.g. extension tube, , eyepiece adapter):
Angle of View
Lenses are designed to cover the area (diagonal) of a specific film (or CCD element) type. The field angle (FA) of a "normal" 35mm still camera is 47 degrees; corresponding to a lens focal length of approximately 50mm. Most camera makers use the 35mm FA to compute the focal length of lenses for a digital camera. Thus a 1/2 inch CCD (8mm diagonal) digital camera would have a "normal" lens focal length of:
FL = (d/2) / TAN 23.5 degrees for 1/2 inch CCD
FL= 4 / TAN 23.5 = 9.2 mm
Most digital camera's have a zoom lens, so FA is variable. For example, on the Olympus C2000 digital camera, the lens FL range is 6.5 to 19.5mm (equivalent to 35 to 105mm on a 35mm camera). This variable field angle can cause a loss of light when attaching lenses afocally; a phenomenon called vignetting.
If one understands angle of view, then the vignetting issue and causes will be easier to comprehend. Vignetting is the failure of the image to fully illuminate the area of the film or CCD element when small telescopes are added to a digital camera. Most of these lenses were designed for video camera's, which typically have 1/4 to 1/3 inch CCD elements. The lenses for these CCDs are designed with a smaller FA in mind, and the result is some vignetting. The photo on the left illustrates vignetting. Even at full 3x zoom, this vignetting results, because the teleconverter lens was designed for an 8mm Sony video camera. But for digital camera's with a zoom lens, the effect can be minimized as the FA can be adjusted to lessen any illumination loss. When eyepieces are used with positive afocal systems, the selected eyepiece should have long eye relief (> 15mm) and an apparent field (> 47 degrees). Some other ways to reduce vignetting is to insure the camera is mechanically coupled to the telescope to avoid misalignment, and adhering to the following:
f / = TELESCOPE POWER per inch of aperture X CAMERA FOCAL LENGTH
PROJECTION MAGNIFICATION (PM) = CAMERA FL / EYEPIECE FL
EFL = FL of TELESCOPE X PM
f / = f / TELESCOPE OBJ X PM
f / ratio = f / 10 x PM = f / 10 x 19.5/25 = f / 7.8

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