discussion, gear, and photography journal
This is the fifth article in a series on "understanding your camera" that I am writing as I teach camera basics and camera operation to my children.


Overview

This post provides descriptions of some lens terminology that many people take for granted, but are not be clearly understood by everyone, namely
  • focal length
  • angle of view
  • field of view

Definitions

I'll start with some definitions. Reference the diagram immediately below when reading these definitions.

field of view, angle of view and focal length (top view)
field of view, angle of view and focal length (top view)

Focal Length

The focal length of a lens is the distance from the optical centre of the lens to the sensor (or film) when the lens is focused on an object at infinity.
The focal length is fixed for any lens, and doesn't change when the lens is mounted on different camera bodies.

The focal length of a lens is one of the key specifications of a lens. For example, the focal length of the Canon EF-S 18-55mm f/3.5-5.6 IS lens ranges from 18mm to 55mm, depending on the zoom set by the lens' zoom ring. On the other hand, prime lenses such as the Canon EF 50mm f/1.8, have a fixed focal length that cannot be varied (ie, 50mm).

Angle of View

The angle of view is the angle of subject area that is projected onto the camera's sensor by the lens.
In other words, it's the angle over which the sensor can "see" through the lens.

The angle of view depends on the focal length of the lens, and the size of the camera's sensor.

Field of View

The field of view is another way of representing the angle of view, but expressed as a measurement of the subject area, rather than an angle.


A Picture is Worth A Thousand Words

The diagram below shows a top view of a camera, and indicates the focal length, angle of view and field of view, for a lens set to a relatively short focal length (say, the Canon EF-S 18-55mm f/3.5-5.6 IS lens set at 18mm).

field of view, angle of view and focal length (top view)
field of view, angle of view and focal length (top view)

For the same lens zoomed out (ie, Canon EF-S 18-55mm f/3.5-5.6 IS lens at 55mm), the diagram below shows how the angle of view and field of view are significantly decreased when the focal length is increased.

the impact of a longer focal length on field of view and angle of view (top view)
the impact of a longer focal length on field of view and angle of view (top view)


Wrap Up

Terms like focal length, angle of view and field of view will be featuring in future articles, and the intention of this article was to provide a clear description of each of these terms, ensuring that you will know what is meant when you come across these terms in the future.

I have several more articles planned for this Understanding Your Camera series, including a post that will describe the effect of a crop sensor on the field of view.
Be sure to subscribe via RSS or via email to ensure you don't miss any future posts.
Comments:
Ryan Ward wrote at 2010-11-04 20:28

The diagrams help. I don't think I understood that the focal length was defined when focused to infinity.

That actually helped to clarify it for me in a more visual sense. Thank you...

Vaibhav wrote at 2010-11-07 18:52

Interesting article. This is the best way to describe to anyone what focal length is. I did a similar article some time ago, which adds a little more detail if anyone is interested:

http://www.speedyshutter.com/2010/09/15/understanding-focal-length/

capcaunu wrote at 2011-06-22 01:37

Great info. Just what I needed.
Thanks!

Modar wrote at 2011-07-26 06:16

are you sure that the focal length is the distance between the center of the lens and the sensor ,i think not ,those incoming light rays does not converge on the center of the lens they do at the back of the lens .the distance between the sensor and the point of converge (focal point) is called focal length

Martin wrote at 2011-07-26 09:39

@Modar: I think we're saying the same thing - by "optical centre of the lens", I'm referring to the point of convergence in the lens.

Greg wrote at 2011-08-06 18:33

One thing im trying to determine is the "field of view=foot width/foot height" at 20ft.-40ft.-60ft. away from lenses 85mm/135mm/200mm?? its crucial to understand for studio walls & ceilings ratio of subject to background distances... I have done physical test myself & know generally but haven't seen an authoritative mathmatical chart!

Martin wrote at 2011-08-07 05:04

@Greg: you should be able to determine the angle of view for the various lenses / focal lengths in degrees from the lens specifications.
A bit of maths will then allow you to work out the field of view as a width and height, at various distances from the camera.

Luis Gutierrez wrote at 2012-05-06 17:17

Marty,

I am confused. Some books define focal point as the point where rays parallel to the optical axis converge (the point that burns when you focus the sun on a piece of paper), and focal length as the distance from the center of the lens to that point.

Also, the rules given in books to construct the image by tracing the rays locate the image away from the focal point. That is, if you place the film or the sensor at the focal point (as defined above), you don“t get any image.

I will be grateful if you clarify what is actually your definition of focal length.

Thanks.

Martin wrote at 2012-05-16 06:23

To respond to Luis' comments, and clarify the meaning of focal length, I have published a follow-up blog post, titled Revisiting Focal Length

Oby wrote at 2012-12-19 07:17

Excellent article! I was unaware that the Focal length had to be based on the lens focused at Infinity, Very well written, Thanks a Bunch! helped alot!

T RAMAKRISHNA wrote at 2014-08-09 13:21

Thank you for your description.

luca wrote at 2017-12-16 15:49

oh my god thank you. i actually understand now

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