Therefore, optics are used to bend light in a way that moves the nodal point forward away from the sensor, making the focal length distance purely theoretical.

Focus distance

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However, the term itself does correlate to a specified “length of focus”, and to understand this number we have to understand how a lens itself works, both in theory and in practice.

FOV tofocal length

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35mm equivalentfocal length

Camera lenses, however, have multiple glass elements and an aperture iris, which are all used in conjunction to sharply project a scene onto the image sensor inside the camera.

Indeed, each of the glass elements in a modern lenses will bend light in one direction or another. There are two reasons for this: first, to create a flat plane of focus instead of a curved one, and second, to create enough empty space behind the rearmost lens element to fit a shutter, and in the case of SLR cameras, a mirror.

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Focal length

Of course an astute photographer will point out, those blue lines sure don’t look very wide-angle, and that lens is in fact an ultra-wide-angle zoom! Is that diagram wildly inaccurate?

Focal lengthcamera

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To most photographers, the term “focal length” simply refers to a number on a lens that indicates how “wide” or “telephoto” that lens is. The higher the number, the more telephoto the lens.

A lens’ purpose is to focus light very sharply at a specific point behind that lens, like a magnifying glass focusing sunlight on a piece of paper a short distance behind it.

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Unfortunately, the listed focal length of a lens does not always perfectly correspond with an exact angle of view, at normal shooting distances. Many lenses change their angle of view slightly when they are focused closer than infinity, and some lenses change their angle of view by a very noticeable amount. Therefore, some photographers measure the “true” angle of view when focusing on a subject at the distances they normally shoot at, such as 5ft or 10ft from the lens.

This is why, in modern photography, a listed focal length is merely used to indicate that lens’ angle of view when focused at infinity. A 50mm lens has a 46.8 degree angle of view. A 24mm lens has an 84 degree angle of view, while a 200mm lens has a 12.3mm angle of view. The two numbers are always inversely proportional.

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Focaldistance vsfocal length

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Focal lengthformula

This next diagram is also inaccurate compared to the actual optical formula of the particular lens, however it depicts the general concept of a multi-element lens construction: Light may enter the first element of the lens at a very sharp angle, and “bend” to a more manageable angle as it travels through the lens. In other words, if you wanted to create an 11mm lens on a 35mm full-frame sensor, with just one piece of glass, then yes, the nodal point of that lens would need to be 11mm away from the surface of the sensor, which is impossible on many cameras, and impractical or at least sub-optimal on all cameras.

For example, many professional 70-200mm zoom lenses, when focused at 200mm and very close distances, actually give an angle of view that is much shorter, along the lines of 105-150mm.

... magnifying glass; the magnification factor depends on ... magnifying power, which is predetermined during construction of the objective optical elements.

A CMOS sensor or complementary metal-oxide-semiconductor sensor is one kind of electronic chip, used to change the photons into electrons for digital processing ...

focallength中文

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In the case of a spherical lens, or a spherical mirror, this spherical aberration occurs because the angle of incidence further away from the optical axis is ...

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