lp/mm\text{lp/mm}

line pairs per millimeter

Wavenumberexact by definition

Line pairs per millimetre is a spatial frequency of 10³ m⁻¹, and it is the standard measure of optical resolution. A lens's modulation transfer function is plotted against it, film and sensor resolving power is quoted in it, and a resolution target is a set of bar patterns at known lp/mm.

Watch out: A line pair is one dark bar plus one light bar, so a figure in lines per millimetre is twice the same figure in line pairs per millimetre. Sensor specifications sometimes quote the Nyquist limit in lp/mm, which is half the pixels per millimetre, and comparing a lens MTF figure against a raw pixel count without that factor of two overstates the system by a factor of two.

1 lp/mm\text{lp/mm} 1,000 m−1\text{m}^{-1}

One line pairs per millimeter in every wavenumber unit

1,000,000per kilometer (km⁻¹)
1,000per meter (m⁻¹)
304.8per foot (ft⁻¹)
25.4per inch (in⁻¹)
10per centimeter (kayser) (cm⁻¹)
1per millimeter (mm⁻¹)
1line pairs per millimeter (lp/mm)this unit
0.001per micrometer (μm⁻¹)
0.000001per nanometer (nm⁻¹)
1.00000e-07per angstrom (Å⁻¹)