To relate with feature sizes in object space, multiply the image space frequencies by the magnification of the lens to transform into object space frequencies.

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Cameras are classic examples of concatenated imaging systems, comprising a lens focusing a real image onto a pixelated image sensor for recording. When specifying a camera system for your application, a reasonable question to ask is “Am I going to be able to resolve a feature of size X?”

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More detailed analysis of lenses accounting for effects like other aberrations, variation of performance across the field of view, chromatic errors, and other pupil shapes quickly gets into the arena of optical engineering. For that, Optikos relies on sophisticated raytracing software with Fourier analysis tools to evaluate and optimize image quality. Optikos is also a world leader in the measurement of MTF so that the effects of manufacturing tolerances can also be understood and mitigated.

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The focal length is the distance between the optical centre of an optical system (lens etc.) and its focal point. In paraxial optics, the image focal length ...

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Aspheric Lenses: Thin and Light · Aspheric lenses reduce the magnification of the eyes. · Incidentally, the reverse is true for those with nearsightedness.

For more information on MTF, see our page How to Measure MTF. And as always, if you need help designing a camera system for your business, reach out to our teams on our site here or at sales@optikos.com.

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These idealizations allow a closed form solution that can be described with simple equations, as described in Joseph W. Goodman’s book Fourier Optics, particularly in sections 2.4 Two-Dimensional Sampling Theory, and 6.3.3 The OTF of an Aberration-Free System.

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The calculator above can help answer that question. It calculates Camera MTF while taking advantage of a couple of idealizations:

When switching into Defocus Mode, you will notice the diffraction-limited lens MTF change into the form of a straight line, as is expected for a square aperture lens. For focusing errors that lead to large departures from the diffraction limit, this Lens MTF is a reasonable approximation for a circular aperture lens.

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The Modulation Transfer Function (MTF) is commonly employed as an objective characterization of image quality. It is typically analyzed as a one-dimensional function of image contrast (resolution) versus spatial frequency (feature size).

Any device that relays, records, displays, or otherwise operates on an image has its own MTF curve describing the fidelity of that process. When concatenating incoherent imaging systems together, the product of their MTF curves describes the image quality of the entire system. Beware that there are scenarios where this multiplication is not valid—read more about MTF multiplication here.

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