Is there a good reference to learn some of the ins and outs of the DSLR world? For example I have an 18-55mm f/3.5 - f/5.6 and a 55-200mm f/4-5.6G but don't really know what the numbers mean (I have a basic understanding but want more). I am an MS in Mechanical Engineering so the more technical the better
The numbers you mention refer to the focal length and aperture for your lens. Because you're an engineer, I'm sure you're craving a lot of numbers and math, so I'll try to keep this as technical as possible. However, keep in mind that if you ask around, a great majority of photographers will not know or even care to know the math details of focal length and aperture.
Aperture
The f-numbers refer to the aperture of your lens. Smaller f-numbers give you larger apertures. Conversely, larger f-numbers give you smaller apertures.
When your lens gives you a range of apertures (ex. f/3.5 - f/5.6), it means that it's a variable-aperture lens. The first aperture (f/3.5) is the maximum aperture you can have at the widest end of the zoom. The second aperture (f/5.6) is the maximum aperture you can have at the longest end of the zoom. So at 55mm, you can't get a larger aperture than f/5.6. Anywhere in between 18mm and 55mm, you'll get some other maximum aperture between f/3.5 and f/5.6.
There are lenses that keep the
same maximum aperture throughout the entire range of focal lengths. These are "constant aperture zoom" lenses. Examples of these lenses include: 17-55mm f/2.8, 70-200mm f/2.8, or 200-400mm f/4. These "constant aperture zoom" lenses usually cost a lot more than variable aperture zoom lenses.
Traditionally, f-numbers (or f-stops) were listed as:
f/1.4 - f/2 - f/2.8 - f/4 - f/5.6 - f/8 - f/11 - f/16 - f/22 - etc
With each f-stop, you double or halve the amount of light coming into the camera. So f/2.8 will let in double the amount of light compared to f/4. As another example, f/5.6 will let in a quarter of the light compared to f/2.8. As an engineer, you'll probably notice that the f-stops are all in a sequence of powers of √2 (the square root of 2).
Here's a diagram from Wikipedia that illustrates the aperture sizes and their corresponding f-numbers:
Nowadays, camera manufacturers give you the ability to change the aperture in 1/3-stops. That's why you see additional aperture numbers, such as f/4 - f/4.5 - f/5 - f/5.6, etc.
As an engineer, you MUST be asking yourself, "
Where does this f-number come from?!?!?!" Here's the equation, according to Wikipedia:
where
N is the f-number,
f is the focal length, and
D is the diameter of the entrance pupil (which is closely related to the diameter of the actual aperture itself, but not quite).
This equation also helps to explain why lenses with the same f-number seem to get larger and larger as you go up in focal length. For example, compare the 50mm f/1.8 lens to the 200mm f/2 lens. They both have approximately the same aperture. But the 200mm lens is sooooo much more humongous compared to the 50mm lens! The above equation tells us that to achieve the same aperture, the 200mm lens requires a much larger diameter.
Can you say "lens envy"?
Since the above equation gives you the diameter, you can undoubtedly calculate the area of the aperture (A =
π * r^2)! The area of the aperture (opening) is given by the following formula:
where
f is the focal length and
N is the f-number. As an engineer, you're probably good with ratios, so you'll understand what I'm trying to describe next. For a given focal length (ie. keeping focal length constant), if you go up to the next larger f-number (
N), the area of the aperture will be cut in half. So if you go from f/2.8 to f/4, the area of the aperture will be cut in half.
Conversely, if go to the next smaller f-number, you'll get double the area of the aperture. So if you go from f/2.8 to f/2, the area of the aperture will double.
Mathematically, this explains why going up / down each f-stop lets you halve / double the amount of light into your camera.
Here are the links to the Wikipedia articles that describes the math in great detail:
http://en.wikipedia.org/wiki/F-number and
http://en.wikipedia.org/wiki/Aperture
Focal length:
The numbers 18-55mm on your lens refer to the focal length. In your case, you've got a zoom lens, which means that you can change your focal length from 18mm to 55mm and anything in between.
There are certain lenses that have a
fixed focal length, and these are called "prime lenses." If you've been lurking on this message board, you've undoubtedly seen several prime lenses being recommended here, such as the 30mm f/1.4 lens, the 50mm f/1.4 lens, the 50mm f/1.8 lens, etc. Because they have fixed focal lengths, you cannot do any zooming on "prime lenses." Oftentimes, people jokingly say that these lenses make you "zoom with your feet", meaning that you have to get physically closer or farther to your subject to achieve a "zoom" effect.
The smaller focal length number indicates a wider angle of view, or a wide-angle view. A larger focal length number indicates a narrower angle of view, sometimes considered "telephoto."
Here's an image I stole from the Internet that shows the angles of view for different focal lengths:
In general, focal lengths:
- less than 35mm are considered "wide angle"
- greater than about 70 or 80mm are considered "telephoto"
- between 35 to about 70-80mm are considered "normal"
Of course, your inner geek is probably STILL unsatisfied, "
Where does the focal length number come from?!?!?!" By definition, the focal length is the distance from the lens to the film / sensor when focusing on an object at a distance of infinity.
Here's the diagram and the equation (from
http://www.paragon-press.com/lens/lenchart.htm):
As you can see from the above equation, as the object distance approaches infinity, the "1/Obj" fraction essentially becomes 0. In this case, the focal length = the image distance.
What happens if you focus on something closer than a distance of infinity? Remember that we keep "1/focal length" the same. According to the equation, "Obj" gets smaller, which makes the "1/Obj" fraction get larger. This means that the "1/Image" fraction must get smaller, making "Image" a larger number. So ultimately, this equation shows that the "image distance" (ie. the distance from lens to film) gets longer as you focus on something nearby.
You may have noticed this on your lens. As you turn the focus ring, you can actually see some of the glass move up or down the barrel of the lens.
Hopefully, my explanation of aperture and focal length was as riveting as your mechanical engineering textbooks. Try bringing up these equations at your next photography club meeting, and you'll definitely be the life of the party!
