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Instrument MI-14-119 · Other

Magnification of a Lens Calculator

Enter your lens's focal length and how far the subject sits from it to find the magnification ratio -- the number that defines true macro photography.

Instrument MI-14-119
Sheet 1 OF 1
Rev A
Verified
Type 14 — Lens Optics SER. 2026-14119

Magnification ratio

1.0000

m = f / (d - f)

The working Every figure verified twice
  1. magnification = 100 ⁄ (200 − 100) = 1.0000
Worksheet log
  1. No entries yet — change an input to log a scenario.

How this instrument works

Magnification describes the size of the image projected onto the sensor relative to the actual size of the subject in front of the lens. A magnification of 1.0, written 1:1, means the subject is reproduced life-size on the sensor -- an insect 10mm long projects a 10mm-wide image -- which is the textbook threshold that defines a true macro lens.

The relationship comes straight from thin-lens optics: magnification equals focal length divided by the difference between subject distance and focal length. As the subject moves closer to the lens, with subject distance shrinking toward focal length, magnification rises sharply, which is why macro lenses achieve their highest magnification only at their minimum focus distance, just beyond the focal length itself.

Magnification below 1.0 describes standard, non-macro shooting distances, where the projected image is smaller than the actual subject. Magnification above 1.0, sometimes called 'super macro,' means the projected image is larger than life, achieved either with a dedicated high-magnification macro lens, extension tubes, or close-up filters that let the lens focus closer than its normal minimum distance.

m=fdfm = \dfrac{f}{d - f}
f -- focal length in mm · d -- subject distance from the lens in mm, must exceed focal length · m -- magnification ratio (1.0 = life-size, above 1.0 = larger than life).
  • Enter Focal length (mm) -- your lens's focal length.
  • Enter Subject distance from lens (mm) -- how far the subject is from the lens, which must be greater than the focal length.
  • Read Magnification ratio beneath the inputs -- 1.0 means life-size (1:1), below 1.0 smaller than life, above 1.0 larger than life.
  • To hit a specific magnification, work backward: get physically closer to the subject to raise magnification, or move farther away to lower it.

Worked example -- 100mm macro lens at 1:1

Enter a 100mm focal length and a 200mm subject distance -- exactly twice the focal length. Magnification comes out to 100 / (200 - 100) = 1.0, the textbook-defining 1:1 magnification ratio: the subject is reproduced life-size on the sensor, the benchmark that makes a 100mm macro lens a true macro lens rather than merely a close-focusing telephoto.

Questions

What does a 1:1 magnification ratio actually mean?

It means the subject is reproduced life-size on the sensor -- an object 10mm long in real life projects a 10mm-wide image onto the sensor, the same physical size. This is the standard definition of 'true macro': a lens capable of reaching 1:1 magnification or greater is marketed as a macro lens, while a lens that maxes out below 1:1 is sometimes called a 'close-focusing' lens instead, even if it can still get reasonably close to its subject.

Why does magnification increase so quickly as I get closer to my subject?

Because magnification depends on the difference between subject distance and focal length, and that difference shrinks toward zero as the subject approaches the focal length -- dividing by an increasingly small number produces a rapidly rising magnification. This is why macro lenses achieve their maximum magnification only very close to their minimum focus distance, and why small movements toward the subject at that range produce large changes in framing.

Can I get above 1:1 magnification without a dedicated super-macro lens?

Yes -- extension tubes, spacers that fit between lens and camera body, and close-up filters, magnifying lenses that screw onto the front of an existing lens, both let a standard lens focus closer than its normal minimum distance, pushing subject distance down and magnification up past what the bare lens alone could achieve. Reversing a lens using an adapter is another common technique for reaching very high magnifications cheaply.

What magnification do I need for typical non-macro photography?

Well below 1.0 -- a 50mm lens with its subject at a typical 1-metre shooting distance produces a magnification around 0.05, meaning the projected image is roughly 1/20th the size of the actual subject. Ordinary portrait, landscape and general photography all operate at these low magnifications; it's only within the last few centimetres of a lens's minimum focus distance that magnification climbs toward 1:1 and beyond.

Why must subject distance be greater than focal length in this formula?

Because a lens can only form a real, focusable image of a subject placed beyond its focal length -- inside that distance, the light rays don't converge to a real image at all, so the thin-lens magnification formula breaks down and the calculator blocks this input as physically invalid. In practice, every lens's minimum focus distance is set safely beyond its focal length for exactly this reason.

References