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Proceedings Paper

Considering the pupil coordinate of aberration theory from the view point of the sine condition in the presence of spherical aberration
Author(s): Masato Shibuya
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Paper Abstract

Considering the sine condition or the physical meaning of imaging, pupil coordinate should be defined by direction cosine of ray. Using the pupil coordinate defined by the direction cosine of ray, Marx and the author had derived the sine condition in the presence of spherical aberration independently. Also we had confirmed its validity by practical lens designing. On the other hand, in order to deal with the object imaging and pupil imaging equivalently, conventional aberration theory (theory of image error) uses the pupil coordinate defined by the cross point between the ray and the tangential pupil plane. However, by using this pupil coordinate, Focke had deduced the wrong result that there exists no spherical aberration when the isoplanatic condition is fulfilled (when coma aberration does not exist). Therefore one might think that the conventional aberration theory has less meaning. However, in this paper, we find that there can exist 3rd order spherical aberration with no 3rd order coma aberration even when we use the conventional aberration theory. Namely the conventional aberration theory is effective at least for 3-rd order aberration from the viewpoint of the sine condition.

Paper Details

Date Published: 21 September 2011
PDF: 15 pages
Proc. SPIE 8167, Optical Design and Engineering IV, 816706 (21 September 2011); doi: 10.1117/12.896768
Show Author Affiliations
Masato Shibuya, Tokyo Polytechnic Univ. (Japan)
Topcon Corp. (Japan)


Published in SPIE Proceedings Vol. 8167:
Optical Design and Engineering IV
Jean-Luc M. Tissot; Laurent Mazuray; Rolf Wartmann; Jeffrey M. Raynor; Andrew Wood, Editor(s)

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