Calculators·Exposure & Light Values

Calculate the effective aperture.

Determine the actual light-gathering ability for macro shots with bellows factor, exposure compensation and pupil ratio – including reversed mounting.

So your exposure is right even when the lens is extended far and the nominal f-number no longer describes reality.

  • Bellows factor
  • Light loss analysis
  • Reversed mounting
  • Pupil ratio

Effective Aperture Calculator

Calculate the effective aperture for macro and close-up photography. The effective aperture takes the bellows factor into account and shows the actual light intensity.

1:1 = 1.0, 1:2 = 0.5, 2:1 = 2.0, etc.

For extreme macro shots with a reverse-mounted lens

The effective aperture is the actual light intensity in close-up shots. It differs from the nominal aperture (set on the lens) due to the so-called bellows factor or extension factor.

Nominal aperture: The aperture set on the lens, valid for infinity focus.

Effective aperture: The actual light intensity taking the changed optical conditions in close-up shots into account.

Standard calculation:

Effective aperture = nominal aperture × (reproduction ratio + 1)

With pupil ratio:

Effective aperture = nominal aperture × (reproduction ratio / pupil ratio + 1)

Retro position:

Effective aperture = nominal aperture × (reproduction ratio × pupil ratio + 1)

Exposure metering: Use the effective aperture for manual exposure calculations or with external light meters.

Flash photography: The effective aperture is crucial for correct flash power in macro shots.

Depth of field: The actual depth of field depends on the effective aperture, not on the nominal setting.

Basics

Nominal vs. effective – where the difference comes from.

In macro and close-up shots the optical situation changes significantly. The lens has to move further from the sensor to focus on nearby objects – with two important consequences.

The problem with close-ups

Less light reaches the sensor.

In macro and close-up shots the optical situation changes significantly. The lens has to move further away from the sensor to focus on nearby objects. This extension has two important effects: less light reaches the sensor (light loss), and the actual aperture shifts from the nominal aperture you set to the effective aperture.
Bellows factor

What the factor tells you.

The bellows factor (also called extension factor) describes this change mathematically. It's calculated as magnification + 1 and affects both exposure and effective aperture. At a magnification of 1:1 (life-size) the bellows factor is 2, which corresponds to an exposure compensation of +2 EV.
Calculation formulas

Three formulas, one calculation.

This is how magnification at the lens turns into the real aperture, exposure compensation and bellows factor.

f_eff = f × (M + 1)
Effective aperture (standard).
ΔEV = 2 × log₂(M + 1)
Exposure compensation in EV.
Bellows = M + 1
Bellows factor in short form.
Worked examples

Three magnification tiers compared.

This is what exposure compensation and effective aperture look like for the common macro ratios in concrete terms.

Example 1

Close-up 1:4

Nominal: f/8

Effective: f/10 (f/8 × 1.25)

Compensation: +0.6 EV

Factor: 1.25×

Example 2

Macro 1:1

Nominal: f/8

Effective: f/16 (f/8 × 2)

Compensation: +2.0 EV

Factor: 2.0×

Example 3

Extreme macro 3:1

Nominal: f/8

Effective: f/32 (f/8 × 4)

Compensation: +4.0 EV

Factor: 4.0×

Metering and pupil practice

What happens during real exposure.

Metering for macro

TTL vs. external meter.

TTL metering: modern cameras meter "Through The Lens" and automatically take light loss into account. Manual corrections are usually unnecessary.

External metering: with a handheld light meter you have to apply the exposure compensation manually.

Flash photography: the effective aperture is decisive for correct flash power in macro shots.

Pupil ratio

Exit vs. entrance pupil.

The pupil ratio describes the size relationship between the exit and entrance pupil of a lens.

Symmetric lenses: pupil ratio = 1.0 (typical for macro lenses).

Asymmetric lenses: pupil ratio ≠ 1.0 (telephoto, retrofocus wide-angle).

Reversed mounting

When the lens sits backwards.

For extreme magnifications the lens is mounted reversed. The calculation of the effective aperture changes slightly as a result.

f_eff = f × (M × pupil ratio + 1)
Application: for magnifications from 5:1 to 20:1 and beyond – particularly popular in scientific and micro photography.
Pro tips

Eight hints for macro photographers.

Use exposure compensation
Use the calculator's compensation as a starting point. For manual exposure you extend the time or raise the ISO.
Bracket critical shots
Bracketing across several stops helps when you're unsure of the exact exposure.
Live-view histogram
The live-view histogram shows the actual exposure in real time – ideal for fine-tuning.
Stable tripods
For long exposures stable tripods are essential. Remote releases or self-timers eliminate vibration.
Noise reduction
At high ISO values in-camera noise reduction is worth it, especially for long exposures.
Focus stacking
For maximum depth of field stack several shots – instead of just stopping down further and producing diffraction.
FAQ

Answers to common questions.

From tool to skill

Solid photography knowledge.

Calculators give you the number. On the blog and in 1:1 coaching I turn theory into results you can see in your images.

Fotograf, Martin Fernando Mera Kleinheinz · Franz-Bork-Straße 21, 30163 Hannover · 0179 4085397