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Aug 16, 2024 — Optical distortion is something that affects all lenses to some extent. However, the effect is more pronounced in certain lenses and can be used ...

2022714 — A 3-9x40mm scope would have an objective lens diameter of 40 millimeters. Other standard objective diameters are 42mm and 50mm. The larger the ...

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In addition, the modulation transfer function depends on the f-number set, the image scale used, and the weighting of the individual spectral components. Therefore, additional MTF curves are needed to characterize the image quality. Insensitivity to changes in scale is also a quality criterion that must be taken into account.

In addition, the beam path in the lens becomes increasingly asymmetric for pixels outside the center. Therefore, the MTF also depends on the orientation of the line pairs in the image field. Two perpendicular orientations are selected from the large number of possible orientations, as shown in the adjacent figure.

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A specific MTF curve is also only valid for a specific point of view. In general, the MTF curves for different image points are different, so a large number of curves would be required to describe the entire image field. Therefore, another representation is used in which the modulation is plotted over the image height, starting from the center of the image, for reasonably selected spatial frequencies. This is the basis of the data sheets.

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The ideal lens is one that faithfully reproduces all the coarse and fine structures in an object. This means that differences in the brightness of the object must be reflected in the image in the same way for a wide variety of structures.      For physical reasons alone, this requirement cannot be strictly met. Contrast losses occur to a greater or lesser extent in the entire range from coarse to fine structures. This entire structure range is now measured numerically by the number of line pairs per millimeter (spatial frequency R [1/mm]).

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The figure on the left illustrates this using the example of a diffraction-limited (i.e. perfect) lens for 20 line pairs per mm and f-number k = 22 at a wavelength of 546 nm. The relative illuminance is plotted as a function of image angle.

At the heart of every single one is a digital camera sensor, also known as an image sensor. Without this vital piece of technology, digital cameras as we know ...

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As you can see, the modulationdeteriorates for finer structures and drops to zero at a certain number of line pairs per millimeter. The impression of sharpness is therefore not determined by this highest spatial frequency, but by the highest possible contrast reproduction over the entire spatial frequency range, up to a maximum spatial frequency depending on the application.

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The MTF curves valid for the two orientations are shown in the diagrams as dashed (tangential) and solid (sagittal) in the diagrams.

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For extreme wide-angle designs with large image angles, it should be noted that the modulation in the image field decreases with the cosine for sagittal structures and with the cube of the cosine of the image angle for tangential structures.

DH Sliney · 1980 · 59 — Safety standards and measurement techniques for high intensity light sources. Vision Res. 1980;20(12):1133-41. doi: 10.1016/0042-6989(80)90051-6. Authors. D H ...

As one of the world's leading manufacturers of precision optics, Schneider-Kreuznach attaches great importance to ensuring that only first-class products leave the company. For this reason, every finished lens undergoes a three-stage test procedure. In the 3D precision measurement, computer-controlled measuring devices check the accuracy of the mechanical components. Optical engineers then use MTF measurements to determine whether the assembled optical system deviates from the calculated values. At the end of the testing chain, each lens is visually inspected by Schneider experts. This includes evaluation of the optical performance in the projection test as well as cosmetic aspects (dust, scratches).

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