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#1
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Closest focusing distance for 12x20 camera
Hi there, I was wondering if someone would know how to calculate the closest focusing distance that a camera would have if it had a 24 inch bellows (what I believe the Korona 12x20 camera has) and is used with both the 355 G-Claron and 450mm Nikon. I'm trying to figure out which lens to get for this camera. I know the 450 covers better, but I may not have much flexibility for subjects at distance other than infinity. On the other hand, the 355 should give me more room to work with at less coverage than the Nikon... Any help here would be appreciated!! Thanks very much Mark -- p |
#2
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Mark Baylin wrote: Hi there, I was wondering if someone would know how to calculate the closest focusing distance that a camera would have if it had a 24 inch bellows (what I believe the Korona 12x20 camera has) Depends one what you mean by close focusing. A 1:1 ratio (life size on the film plane) requires a bellows extension of at least twice the focal length. So for a 24 inch max bellows draw you get 1:1 with a 12 inch lens (about 300mm.) With a longer lens you'll get less. Since the 355mm is your shortest lens, you won't get 1:1 but will get greater than 1:2 (1/2 life size); probably somewhere inbetween the two when close focusing. Sorry, I don't know an equation to calculate the ratio or "distance," only for bellows extension factor (exposure correction) which increase the longer you extend the bellows beginning at about 8x the focal length. and is used with both the 355 G-Claron and 450mm Nikon. I'm trying to figure out which lens to get for this camera. I know the 450 covers better, but I may not have much flexibility for subjects at distance other than infinity. On the other hand, the 355 should give me more room to work with at less coverage than the Nikon... Any help here would be appreciated!! Thanks very much Mark -- p |
#3
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Hi there, I was wondering if someone would know how to
calculate the closest focusing distance that a camera would have if it had a 24 inch bellows (what I believe the Korona 12x20 camera has) and is used with both the 355 G-Claron and 450mm Nikon. I'm trying to figure out which lens to get for this camera. I know the 450 covers better, but I may not have much flexibility for subjects at distance other than infinity. On the other hand, the 355 should give me more room to work with at less coverage than the Nikon... The fundamental formula of optics: 1 / F = 1 / u + 1 / v F is your focal distance u is your subject distance And v is your bellows extention (lens-to-subject) In your case F = 355mm, v = 24in, and you want to know u u = Fv / (v - F) (from above) u = [(355/25.4) x 24 ] / (24 - 355/25.4) = 33.4 in = 2.79 feet For your 450mm the answer is 5.6 feet, I believe. Bob G |
#4
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Bob G wrote: Hi there, I was wondering if someone would know how to calculate the closest focusing distance that a camera would have if it had a 24 inch bellows (what I believe the Korona 12x20 camera has) and is used with both the 355 G-Claron and 450mm Nikon. I'm trying to figure out which lens to get for this camera. I know the 450 covers better, but I may not have much flexibility for subjects at distance other than infinity. On the other hand, the 355 should give me more room to work with at less coverage than the Nikon... The fundamental formula of optics: 1 / F = 1 / u + 1 / v F is your focal distance u is your subject distance And v is your bellows extention (lens-to-subject) In your case F = 355mm, v = 24in, and you want to know u u = Fv / (v - F) (from above) u = [(355/25.4) x 24 ] / (24 - 355/25.4) = 33.4 in = 2.79 feet For your 450mm the answer is 5.6 feet, I believe. Bob G It should be appreciated that at 1:1 magnification the coverage of the lens will double compared to infinity. A 150 mm lens would cover at some point with essentially 0 depth of field and an effective f-stop of very large if you used a long enough bellows pull and got close enough to the subject. :-) |
#5
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And v is your bellows extention (lens-to-subject)
Oops! That should read: And v is your bellows extension (lens-to-film) Bob G |
#6
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The fundamental formula of optics:
1 / F = 1 / u + 1 / v An interesting result (perhaps) from the formula is that no lens can focus on an object at a distance equal or less than its focal length. For instance, a 12 inch lens cannot focus on an object 12 inches away. That's because as u approaches F (the lens-to-subject distance approaches the focal length), then [ 1/F - 1/u ] approaches zero and v becomes monstruously large, that is, the bellows extension required approaches infinity. Get a load of that, Turner Bellows! Bob G |
#7
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Bob G wrote:
The fundamental formula of optics: 1 / F = 1 / u + 1 / v An interesting result (perhaps) from the formula is that no lens can focus on an object at a distance equal or less than its focal length. For instance, a 12 inch lens cannot focus on an object 12 inches away. That's because as u approaches F (the lens-to-subject distance approaches the focal length), then [ 1/F - 1/u ] approaches zero and v becomes monstruously large, that is, the bellows extension required approaches infinity. If u is less than F, then v ends up negative. As you say, that means you can't form a real image in that case. But the mathematics still works, but for virtual images, which are a different matter. The virtual image is on the same side of the lens as the subject. You see if from the other side as a magnified version of the subject. Get a load of that, Turner Bellows! Bob G |
#8
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Leonard Evens wrote: Bob G wrote: The fundamental formula of optics: 1 / F = 1 / u + 1 / v An interesting result (perhaps) from the formula is that no lens can focus on an object at a distance equal or less than its focal length. For instance, a 12 inch lens cannot focus on an object 12 inches away. That's because as u approaches F (the lens-to-subject distance approaches the focal length), then [ 1/F - 1/u ] approaches zero and v becomes monstruously large, that is, the bellows extension required approaches infinity. If u is less than F, then v ends up negative. As you say, that means you can't form a real image in that case. But the mathematics still works, but for virtual images, which are a different matter. The virtual image is on the same side of the lens as the subject. You see if from the other side as a magnified version of the subject. But all this mental abstraction (or math, take your pick) is making me nuts! I might as well be back in a college classroom Still, long time no hear from, Leonard Get a load of that, Turner Bellows! Bob G |
#9
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"Leonard Evens" wrote in message
... Bob G wrote: The fundamental formula of optics: 1 / F = 1 / u + 1 / v An interesting result (perhaps) from the formula is that no lens can focus on an object at a distance equal or less than its focal length. For instance, a 12 inch lens cannot focus on an object 12 inches away. That's because as u approaches F (the lens-to-subject distance approaches the focal length), then [ 1/F - 1/u ] approaches zero and v becomes monstruously large, that is, the bellows extension required approaches infinity. If u is less than F, then v ends up negative. As you say, that means you can't form a real image in that case. But the mathematics still works, but for virtual images, which are a different matter. The virtual image is on the same side of the lens as the subject. You see if from the other side as a magnified version of the subject. A one-time professor and mentor of mine, Dr. John Pfeiffer, spearheaded the first science-fiction (literature) class to be taught at a military academy. To have the curriculum accepted, Dr. Pfeiffer had to present it to a board of instructors from all departments of the school. Surprisingly, the most vigorous defense of his curriculum came from the Math department. Now I see why! -- Regards, Matt Clara www.mattclara.com |
#10
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"Leonard Evens" wrote in message
... Bob G wrote: The fundamental formula of optics: 1 / F = 1 / u + 1 / v An interesting result (perhaps) from the formula is that no lens can focus on an object at a distance equal or less than its focal length. For instance, a 12 inch lens cannot focus on an object 12 inches away. That's because as u approaches F (the lens-to-subject distance approaches the focal length), then [ 1/F - 1/u ] approaches zero and v becomes monstruously large, that is, the bellows extension required approaches infinity. If u is less than F, then v ends up negative. As you say, that means you can't form a real image in that case. But the mathematics still works, but for virtual images, which are a different matter. The virtual image is on the same side of the lens as the subject. You see if from the other side as a magnified version of the subject. A one-time professor and mentor of mine, Dr. John Pfeiffer, spearheaded the first science-fiction (literature) class to be taught at a military academy. To have the curriculum accepted, Dr. Pfeiffer had to present it to a board of instructors from all departments of the school. Surprisingly, the most vigorous defense of his curriculum came from the Math department. Now I see why! -- Regards, Matt Clara www.mattclara.com |
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