People having an interest in the image quality of a lens or other optical unit used with a camera will find that there are occasions when there is a need to consider the performance of one lens in relation to another. Such an interest can arise from a simple curiosity, to a serious assessment of capabilities with an alternative system. Circumstances can, however, occur where the only information readily available to make a comparison between lenses may simply be the specification of focal length and a relative aperture, or even just the size of aperture involved. In more extreme circumstances, it may only be possible to glean some estimate of the aperture size for the optical unit or lens of interest by a close visual examination of an illustration or diagram. In such instances, it then becomes necessary to produce an initial estimate of image quality that can be based on a characteristic common to all lenses and optical systems used to produce the primary image. A characteristic that meets this requirement is that of diffraction. The phenomenon of diffraction, caused by the necessity of always having an aperture stop in the optical system, thereby becomes the attribute suggested here as a means of ranking the potential for image quality possible with a given lens or system in relation to a range of other optical systems available for the application. Diffraction, though a primary consideration when assessing image quality, is not the only significant factor to be regarded as a guide to the standard of image quality that may be involved. Details of other factors that, in an ideal world could provide further guidance to quality, are, however, not necessarily readily available when needed. As a result, and in the absence of further information, it needs to be born in mind that there will be some uncertainty as to the degree of precision expressed by any assessment based on diffraction effects alone. However, since diffraction is a fundamental feature with all optical systems, it can provide a general indication of the performance that could be expected. The numerical value for a diffraction index (DI), as described here, is given by dividing the circumference, at the maximum diameter for the aperture stop in an optical system, by the area of the aperture stop at that setting. The result of this calculation is to reduce the effect of diffraction on image quality, due to the aperture effect, in inverse proportion to the area of the aperture, in accordance with established theory and practice. For the purpose described here, the most meaningful aperture stop size to be used when calculating the DI is that indicated by the relative aperture, where the aperture size (d) is shown by the relationship: d5e/n, where e is the focal length and n is the relative aperture. Alternatively, measurement of the first glass surface in a prime lens or optical system may be used as representing the aperture stop, though the results obtained using this measurement can be misleading, for example, when optical systems with a very wide field of view are being considered. This is due to the large size of front and rear elements used in their design to ensure even illumination across the image area. In practice, there can be a divergence in the values obtained depending on which method is used in measuring, or estimating, the size of an aperture. Where a zoom lens is under consideration, then the largest aperture size indicated by the relative aperture settings must be used. It follows from this that, when calculation of the DI is expressed by a smaller index number, then the image quality can be expected to have improved. It is The MS was accepted for publication on 30 March 2011. * Corresponding author: G. H. Thomson, Strut & Thomas, 57 Winslow Field, Great Missenden, Buckinghamshire HP16 9AR, UK; email: rssat@hotmail.co.uk 65
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