0.427X for a 30 mm Horizontal FOV on a 1″ Sensor

A 1″ sensor has an active width of 12.8 mm. To image a 30 mm wide field, the lens has to run at 0.427X — that is 12.8 mm ÷ 30 mm. Everything below follows from that one number: the vertical field, the pixel resolution you actually get, and which real POMEAS lenses sit at this magnification.

The numbers for this combination

Sensor width12.8 mm
Horizontal FOV30 mm
Required magnification0.427X
Vertical FOV22.5 mm
Diagonal FOV37.5 mm

Camera resolution

Camera resolutionµm per pixel (horizontal)
4096 × 3000 (12 MP)7.32
5120 × 4096 (20 MP)5.86

The formula behind it

Optical magnification is the ratio between sensor size and field of view. Written for the horizontal axis: magnification = sensor width ÷ required FOV width. Rearranged the other way, FOV = sensor width ÷ magnification, which is why a lens datasheet always quotes magnification rather than field — the field depends on which camera you bolt behind it.

Substitution: 12.8 mm ÷ 30 mm = 0.427X

POMEAS lenses at 0.427X–0.619X

ModelTypeMagnificationWorking distanceDistortionResolution
PMS-LMC04-150Telecentric0.4X148mm0.02%—
PMS-LTCM037-150-PTelecentric0.37X150mm0.02%11.18μm
PMS-LTCM037-150S-PTelecentric0.37X150mm0.02%11.18μm(可调)
PMS-LMC05-130Telecentric0.5X130mm0.02%8.18μm
PMS-LTFM05-179Telecentric0.5X179mm—18μm
PMS-LTCM05-110Telecentric0.5X110mm0.01%12.43μm

Specifications are the values published on each product page. Blank cells mean the parameter is not published.

Zoom, telecentric or fixed focal: which one

At 0.427X you are in in the mid range where both telecentric and zoom platforms are available. The three lens families solve different problems: a continuous zoom lens covers a range of magnifications so one station can handle several part sizes; a telecentric lens holds magnification constant over the part height so a metrology measurement does not drift; a fixed focal lens is the simplest and usually sharpest option when the product never changes.

Working distance and lighting budget

The models above publish working distances rather than a guaranteed envelope, because WD also has to contain the illumination. A ring light or a coaxial module typically eats 10–30 mm of that distance. Confirm WD with the light mounted, not on a bare lens.

Frequently asked questions

What magnification gives a 30 mm horizontal FOV on a 1″ sensor?

0.427X. Divide the 12.8 mm sensor width by the 30 mm field you need: 12.8 ÷ 30 = 0.427X. The vertical field comes out at 22.5 mm, the diagonal at 37.5 mm.

How many microns per pixel is that?

Divide the field width by the pixel count. For 4096 × 3000 (12 MP): 7.32 µm/px and 5120 × 4096 (20 MP): 5.86 µm/px this works out to see the table above. Remember that this is the pixel-limited figure — the lens still has to resolve it.

Can one zoom lens cover this instead of a fixed magnification lens?

Yes if 0.427X falls inside a zoom range. No zoom model in the current catalogue reaches 0.427X; use a telecentric or fixed magnification lens instead. If your product mix changes every week, a zoom body saves the mechanical changeover; if it never changes, a fixed magnification lens is usually sharper and cheaper.

Do I need a telecentric lens at 30 mm FOV?

Only if you measure dimensions rather than merely detect defects. Telecentric optics keep magnification constant over the part height, so a 30 mm field measured at the top of the part matches the bottom. For presence checks and coarse alignment, a standard lens is fine.

My desired FOV is not listed — how do I work it out myself?

Use magnification = 12.8 mm ÷ your FOV width, then check which catalogue magnification sits closest. Every step of that calculation is explained in the zoom lens FOV guide.

Related reading

These pages carry the full model tables and method behind the numbers used here: TR-001: 16 optical performance test methods, motorized zoom lens selection guide, how zoom lens FOV is calculated, real working-distance values by model, 4K zoom lens models and per-step resolution. No published number here fits your part? Talk to our engineers: talk to an application engineer.

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