Microscope depth of field 2026-11-05
The microscope depth of field is the range of specimen depths judged acceptably sharp for a fixed imaging configuration and focus setting. It is an object-space tolerance defined by a sharpness criterion. It differs from microscope working distance, a physical clearance, and from image-space depth of focus. The accepted range depends on numerical aperture, wavelength, detector/display sampling and the criterion used to judge blur.
An original geometric model makes the criterion explicit. Let a local light cone have object-side half-angle . An axial defocus gives blur diameter approximately . If acceptable object-space blur diameter is at most , the symmetric depth range is
This cone model ignores diffraction and aberrations; it provides a stated geometric estimate, not a universal microscope specification.
For , refractive index and numerical aperture , the total range is about7.75µm. Raising the aperture to0.50 with the same blur criterion reduces it to about3.46µm. The manufacturer's iris discussion describes this tradeoff qualitatively: closing the aperture increases depth of field while reducing resolving power.[ref]
In a diffraction-limited comparison, choosing a tolerable blur scale proportional to and using at small angle yields a depth scale proportional to . The prefactor depends on the stated sharpness criterion. It should not be treated as one exact range independent of contrast, sampling or the way the image is assessed.
For a simple acceptance example, suppose the adopted total range is6µm and a nominally flat inspected surface varies from−4 to+4µm about a center focus. The8µm extent does not fit inside that6µm interval. Moving focus shifts which parts qualify but does not increase the interval width. A larger-looking image also does not prove better diffraction-limited resolution or a larger axial acceptance range.
Record whether a quoted depth is total or one-sided, and keep the optical configuration and blur/contrast criterion with it. Otherwise two reported values can differ because they describe different acceptance tests rather than different objective performance.
The microscope parfocal distance is the specified axial distance from an objective's mechanical mounting reference to the focused specimen plane in its intended optical arrangement. Matching this distance helps objectives on a common mount place their focused object planes near the same location. It is a mechanical/optical interface dimension, rather than the microscope working distance between the front end and its specified near surface.
A primary manufacturer example shows two objectives with the same45mm parfocal distance and mounting-thread specification but visibly different body diameters and access geometries. The shared distance therefore does not imply identical front-end clearance.[ref]
For an original coordinate example, put the mounting reference at and the focused specimen plane at . An objective front surface at−35mm leaves10mm clearance to an uncovered flat specimen; a different objective front surface at−44.4mm leaves0.6mm. Both have45mm mounting-reference-to-focus separation in this stipulated arrangement. Comparing only their parfocal distances would conceal the clearance difference.
Nominal agreement also does not establish perfect focus after every exchange. If actual focused-plane separations are45.00 and45.03mm, keeping the specimen and mounting plane fixed leaves30µm of focus mismatch. Under a stipulated total acceptable microscope depth of field of5µm centered at focus, that mismatch exceeds the axial tolerance. A fine focus adjustment or a characterized offset is then needed to compare sharply focused images.
The focal length is another length with another reference: the relevant principal plane, rather than the mounting shoulder. Magnification, tube-lens arrangement, cover correction and immersion conditions also need to match the instrument design. A shared thread or parfocal distance alone does not establish all those optical compatibilities.
For metrology, identify the mounting reference, focused specimen plane and intended optical configuration before comparing distances. A focus test on a flat reference at the same stage setting can characterize interchange offsets. The resulting axial-offset information is distinct from an image-scale calibration made with a stage micrometer.
The microscope working distance is the clearance between the front of a microscope objective and the specified nearest specimen or cover surface when the specimen is in focus. The exact reference surfaces belong with the manufacturer's specification. For a coverslip-corrected objective, the primary manufacturer definition measures free working distance to the coverslip surface facing the front lens, with the focus at the opposite side.[ref]
Working distance is a physical access constraint. It determines whether a tool can reach the focused specimen and whether a raised holder edge interferes with the objective. It differs from focal length, which is an optical property referenced to the relevant principal plane, and from microscope parfocal distance, which relates the objective mounting reference to the focused specimen plane. Their reference points are not interchangeable.
For an original geometric model in air, put the front principal plane at axial coordinate0, the front lens surface at−3mm and the focused specimen surface at−12mm. The object distance from the principal plane is12mm, but the lens-to-specimen working clearance is9mm. If a mounting shoulder is at+30mm, its distance to the specimen is42mm. These stipulated dimensions illustrate three different lengths; they are not specifications for a commercial objective.
For another example, suppose an objective has2.0mm free clearance to a coverslip, and a holder rim projects1.2mm above that same reference surface into the objective's lateral sweep. The simple axial clearance over the rim is0.8mm before accounting for its shape, tilt and positioning errors. Knowing only the magnification would not supply this clearance calculation. A fixture's geometry must be checked against the actual objective envelope.
Microscope depth of field instead describes a range of specimen depths judged sufficiently in focus under a stated imaging criterion. A generous working distance does not establish that a thick object is all sharply resolved at once. Conversely, a specimen can be in focus with very little physical clearance.
Optical conditions still matter: cover thickness, immersion medium and refractive index must match the objective design if its intended image performance is to be achieved. A numerical aperture or magnification value alone does not determine every clearance and optical-correction requirement. The manufacturer's objective-labeling document discusses these specifications separately.[ref]
Stereomicroscope 2026-11-05
A stereomicroscope is an optical microscope that sends distinct views of the same specimen to the two eyes through separate viewing channels. The views originate at slightly different directions, producing stereo disparity that supports stereoscopy. Two microscope eyepieces alone do not establish stereo imaging: splitting one image into identical copies supplies no second viewpoint.
A two-objective arrangement uses separate microscope objective assemblies whose viewing directions converge on the specimen. A shared-objective arrangement can instead preserve two distinct viewing bundles through one main objective. The distinction concerns how the two perspectives are formed, rather than the number of eyepieces. A primary manufacturer manual gives a concrete two-path example: its S-series optics have a10° convergence angle and a compact lower assembly providing access around the specimen.[ref]
For an original geometric illustration, take two viewing rays inclined by to the normal of a reference plane. A feature at height above that plane has ray intersections displaced in opposite directions by , so their separation is
With total convergence angle and , the separation is about0.175mm. This back-projected reference-plane geometry illustrates stereoscopic triangulation; it is not a specification of human depth accuracy or a universal pixel-to-height calibration. Actual image coordinates also depend on each channel's optics and alignment.
The distinct viewpoints are useful when positioning a fine tool near a surface, inspecting a small mechanical assembly or distinguishing raised features from flat markings. Illumination reflected from an opaque surface makes many such specimens accessible without preparing a thin transmitting section. The microscope working distance determines how much physical room remains between the instrument and the focused specimen, which matters when a probe or tool must enter that space.
For measurement, retain the magnification setting and calibrate the relevant channel with a stage micrometer. A scale calibration in a reference plane does not automatically convert stereo displacement into height; that requires the viewing geometry or a separate height calibration. Increasing magnification also does not guarantee improved diffraction-limited resolution. The purpose of the second view is geometric information, alongside the instrument's ability to resolve and magnify structure.