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Applying an Abbe Criterion to Photomacrography
| by |
Ted Clarke, Scientific Photographer and Instrument Maker |
The final part of this article demonstrates application
of the optimum aperture concept to digital imaging with a sequence of
increasing magnification images obtained with a scientific grade digital
camera, the Kodak (now Redlake Imaging) MegaPlus 1.6i/AB. This camera
is equipped with a Nikon “F” lens mount so it can be used with Nikon 35
mm camera lenses. My previous article “Pixel
Array Size Requirement to Replace Photomicrographs on Film” demonstrated
that the 1024 x 1534 pixel image recorded by 9X13mm grayscale sensor of
this camera can meet an Abbe criterion of 500 times the N.A. in small
format print equivalent to a 10X enlargement of a negative or slide. The
camera is shown mounted to an Olympus 35mm camera bellows in Figure 14.
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Figure
14 |
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Figure
15 |
Figure 15 is a close-up view of the Olympus Auto
Bellows and the adapters made to mount the MegaPlus camera and Zeiss macro
lenses to the bellows. My specialty later in my working career was failure
analysis of gears. A test gear with a tooth broken out by cyclic fatigue
loading near the tooth tip is shown on a copy-stand in Figure 14. The
fracture surface left when a tooth was broken out of this gear is shown
at increasing magnifications in Figures 16-19. The scientific interpretation
of the topographical features of the gear tooth fracture surface is called
fractography. This test gear of medium carbon steel has been heat treated
using a new process called contour induction hardening. The arrow in Figure
16 indicates a smoother, circular region of slow crack growth from each
cycle of loading with radial markings indicating that the tooth had a
primary fatigue crack origin in the center of the circular area in the
interface between the hardened surface zone and the much softer core. The
origin region is at a nonmetallic inclusion stringer evident in Figure
19. Figures 16 and 17 were recorded using a 60 mm f/2.8 Nikon Micro Nikkor
macro lens instead of a bellows mounted lens. The recording conditions
were with camera magnifications of 0.5X and 1X at f/11. Figure 18 was
recorded with the Zeiss 100 mm f/6.3 Luminar lens with 2.5X camera magnification
using an aperture setting of f/6.3. Figure 19 was recorded with the Zeiss
63 mm f/4.5 Luminar lens at 5X camera magnification using an aperture
setting of f/4.5. Small format photographic prints of these digital images
for Figures 16-19 would have, respectively, the following Abbe criterion
values for total magnification: 330N.A., 440N.A., 440N.A., and 540N.A. The
plastic dovetail inserts of the Olympus Auto Bellows were found to be
cracked a few years after the gear fracture was photographed.
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Figure
16 |
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Figure
17 |
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Figure
18 |
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Figure
19 |
All-metal heavy duty sliders and brackets for the
lens and camera were made in my home shop to correct this problem. The
modified bellows is shown in my Microscopy Today article “Heavy Duty Camera
Bellows for Digital Imaging” along with resolution test results for the
Zeiss 63mm f/4.5 Luminar lens and the Olympus 38mm f/2.8 macro lens 3.
The transition from photomacrography with a view camera and 4X5 Polaroid
film to digital imaging with the MegaPlus camera occurred very rapidly
in early 1995 in our metallography laboratory because of savings in time
and elimination of film cost. Polaroid film is still used in the laboratory
with the Zeiss Ultraphot II for low magnification photomacrographs obtained
with the Luminar lenses and their vertical illuminators. Polaroid film
is also used with a view camera system dedicated to brightfield imaging
of complete metallographic samples (see "Brightfield Illumination
of Complete Metallographic Specimens")4. The Polaroid
film images are subsequently scanned to digital files.
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