Re: Age degradation of skills
Posted: Tue Sep 29, 2015 7:58 am
THe greatest depth of field is achieved by centralizing your focus between the sight and the target. In optics, diopters were conceived as a unit of lens power exactly to make this simple, because it becomes a mathematical average.
For a rifle, the rear aperture drops out of play, because you are never going to focus that close, so you average between focusing on the target, and focusing on the front sight. Let's take a hypothetical 30" sight radius rifle, shooting at 50m, and further assume that the shooter has perfect 20.20 vision.
Diopters are the inverse of a lens focal length, in meters. So a 30" sight radius (note, this should be measured from the eye to the front sight), is 0.762 meters, so to focus perfectly on the front sight requires a 1/0.762 diopter lens = 1.31 diopters. To see a 50m target perfectly, you would need a 1/50 = 0.02 diopter lens. To centralize your depth of field between the two, you simply average the two diopter values, so (1.31 + 0.02)/2, or a 0.67 diopter lens.
Since your eye can always exert slightly to add power, but can never subtract power, you would take your 0.67 solution, and round down to the nearest available lens power, +0.50, or if you can find a source of 1/8 step diopter lenses, a +0.625.
Since the target is always far enough away that the diopter value of the target lens is always close to zero (a 10m target only requires a 0.10 diopter lens, and the human eye typically cannot see steps smaller than about 0.125 diopters), averaging the lens to see the sight with a near zero value will result in a shooting lens which is half the power to see the front sight. Since diopters are inverse focal lengths, a lens half the power to focus on the front sight will result in a focal point that is 2x the distance to the front sight. So the recommendation to get the maximum depth of field possible will require a lens that focuses at 2x the distance to the front sight is not some old wives rule of thumb, but is actually an exact calculation of what is known as the hyperfocal distance of a lens.
For pistol, in my experience fitting shooters with lenses, the same math is applied, but you base it on the distance from your eye to the rear sight. THis will centralize your depth of field between the rear sight and the target, so the front sight will appear slightly sharper than either the rear sight or the target, which is how most pistol shooters like it.
For a rifle, the rear aperture drops out of play, because you are never going to focus that close, so you average between focusing on the target, and focusing on the front sight. Let's take a hypothetical 30" sight radius rifle, shooting at 50m, and further assume that the shooter has perfect 20.20 vision.
Diopters are the inverse of a lens focal length, in meters. So a 30" sight radius (note, this should be measured from the eye to the front sight), is 0.762 meters, so to focus perfectly on the front sight requires a 1/0.762 diopter lens = 1.31 diopters. To see a 50m target perfectly, you would need a 1/50 = 0.02 diopter lens. To centralize your depth of field between the two, you simply average the two diopter values, so (1.31 + 0.02)/2, or a 0.67 diopter lens.
Since your eye can always exert slightly to add power, but can never subtract power, you would take your 0.67 solution, and round down to the nearest available lens power, +0.50, or if you can find a source of 1/8 step diopter lenses, a +0.625.
Since the target is always far enough away that the diopter value of the target lens is always close to zero (a 10m target only requires a 0.10 diopter lens, and the human eye typically cannot see steps smaller than about 0.125 diopters), averaging the lens to see the sight with a near zero value will result in a shooting lens which is half the power to see the front sight. Since diopters are inverse focal lengths, a lens half the power to focus on the front sight will result in a focal point that is 2x the distance to the front sight. So the recommendation to get the maximum depth of field possible will require a lens that focuses at 2x the distance to the front sight is not some old wives rule of thumb, but is actually an exact calculation of what is known as the hyperfocal distance of a lens.
For pistol, in my experience fitting shooters with lenses, the same math is applied, but you base it on the distance from your eye to the rear sight. THis will centralize your depth of field between the rear sight and the target, so the front sight will appear slightly sharper than either the rear sight or the target, which is how most pistol shooters like it.