Image Quality and Optical Resolution

References

• 1955 . J. O. S. A. , 45 : 497 – 501 .
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• FELLGETT , P. B. and LINFOOT , E. H. 1955 . Phil. Trans. Roy. Soc. (A) , 247 : 369 For the analytical definition of this concept, see
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• COLTMAN , J. W. 1954 . J. O. S. A. , 44 : 468 See for example
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• The notation here and below is that of FELLGETT and LINFOOT, 1. c. [2]. In that paper, (ξ, η) denote ordinary Cartesian coordinates, not scale-normalised ones as stated on p. 372
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• By equation (3.73), 1. c. [2 1, in which we set F = A, τ = τA, τ1 = 1, s2 = P, n2=N
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• By section 3.3, 1. c. [2].
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• SCHADE , O. H. 1952 . J. Soc. Motion Picture and Television Engrs , 58 : 182
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• FELLGETT , P. B. 1953 . J. O. S. A. , 43 : 371
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• HOPKINS , H. H. 1955 . Proc. Roy. Soc. (A) , 231 : 91 My thanks are due to Miss GILLIAN STORY for carrying out the computations needed for this figure. The relation between HOPKINS'S frequency response function D(s) and the response function τA(u, v) of the present paper is expressed by the equations D(s) = τA(u, v); s2 = λ2(u 2 + v 2)//2 sin2α, where f is the focal length and sin αthe numerical aperture
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• CONRADY , A. E. 1919 . Mon. Not. R. A. S. , 79 : 575
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• τ is the FOURIER transform with respect to x′-x, y′-yof the polychromatic spread-function w(x′, y′ ; x, y) = Wx,y(x′-x, y′-y). See E. H. LINFOOT, J. 0. S. A. 46, 1956, 740, Section 2
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• A remark of THEODORE DUNHAM (J. O. S. A. 41, 290), 1951, suggests that the value of the greatest “harmless” obstruction ratio may be near to 0.25 in some photographic applications also. He says: “Photomicrographs of biological sections show no obvious change in image quality with an obscuring ratio of 0.2, but there is a detectable reduction in local contrast when the obscuring ratio is 0.3”.
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• Analytical expressions for the response function τη corresponding to a linear obstruction-ratio η have recently been given by E. L. O'NEILL (J. O. S. A. 46, 1956, 285. One of the curves (τ0.75) shown in fig. 3 is taken from Dr O'NEILL's paper; two others (τ0.25,τ0.5) are identical with his. My thanks are due to Dr O'NEILL for making available the tabulated values on which his curves are based
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• The effective visual brightness function of sunlight was taken as given by figure 4 of the paper on Telescopic Star Images, E. H. LINFOOT and E. WOLF, Mon. Not. R. A. S. 112, 1952, 452
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