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Microscope depth of field calculator

An objective’s depth of field, separating the diffraction contribution from the detector contribution.

Parameters

Wavelength
Pixel at specimen
Axial step (optional)

Your z-plane interval, for comparison with the computed depth of field.

Note

Unticked, only diffraction counts; ticked, the pixel size is added.

Result

Depth of field

510.2 nm

Berek convention: diffraction + sampling.

Diffraction contribution
401.9 nm
Sampling contribution
108.2 nm
Axial resolution (Rayleigh)
803.9 nm

Calculation, assumptions and sources

OverviewWavelength, numerical aperture and immersion medium give the depth of field using the Berek convention, with its two contributions shown separately: diffraction and sensor sampling.

Wavelength, numerical aperture and immersion medium give the depth of field using the Berek convention, with its two contributions shown separately: diffraction and sensor sampling. The axial resolution is given alongside.

Method & formulasDOF = λ·n / NA² + n · pixel / NA
DOF = λ·n / NA² + n · pixel / NAdiffraction (wave-optical) + sampling (detector)

The first term depends only on the optics; the second depends on the sensor, through the pixel size referred back to the specimen.

Depth of field
thickness of specimen that is sharp at a given focus setting; a focus tolerance.
Axial resolution
smallest separable distance along the optical axis; a separation capability, not a tolerance. Both quantities share the same unit and order of magnitude.
Diffraction contribution
wave-optical term, λ·n / NA², independent of the detector. It falls fast as numerical aperture increases.
Sampling contribution
detector-related term, n · pixel / NA. A coarser pixel does not reveal the blur: depth of field appears larger, with no optical gain.
Validity domainDepth of field has no single definition: it depends on the chosen blur criterion.

Depth of field has no single definition: it depends on the chosen blur criterion. The Berek convention sums a wave-optical contribution and a detector contribution; other definitions keep only the diffraction term and give a smaller value. The value shown is a design estimate, not a measurement; perceived sharpness also depends on specimen contrast and signal-to-noise ratio.

Effect of numerical apertureDepth of field varies as the inverse square of numerical aperture: from NA 0.3 to NA 1.4, it drops by more than a factor of twenty.

Depth of field varies as the inverse square of numerical aperture: from NA 0.3 to NA 1.4, it drops by more than a factor of twenty. With a high-aperture immersion objective, a thick specimen requires a z-stack.