宇宙観測のための球面回折格子基礎理論

概要

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The theory of the image formation ot a spectrum and it's aberration by means of a spherical concane grating has been studied for a point light source by method of geometric optics. The method is as follows; i) The variation calculation on the basis of the Fermat's principle is strictly applied in the respective order of approximation, ii) Each stage of the approximation calculation is correctly arranged in the order of ascending power with regard to the radius, on the pupil plane, of the diffracted points from the center of grating. The results give the explicite expressions on the position of the spectral image and the astigmatic line. The expressions are derived for broadening of the astigmatic line by the second order aberration. The dispersion, the resolving power and the optimum image plane are also given.
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