Considering the pupil coordinate of aberration theory from the view point of the sine condition in the presence of spherical aberration

Masato Shibuya

doi:10.1117/12.896768

21 September 2011 Considering the pupil coordinate of aberration theory from the view point of the sine condition in the presence of spherical aberration

Masato Shibuya

Author Affiliations +

Proceedings Volume 8167, Optical Design and Engineering IV; 816706 (2011) https://doi.org/10.1117/12.896768
Event: SPIE Optical Systems Design, 2011, Marseille, France

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.

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Masato Shibuya "Considering the pupil coordinate of aberration theory from the view point of the sine condition in the presence of spherical aberration", Proc. SPIE 8167, Optical Design and Engineering IV, 816706 (21 September 2011); https://doi.org/10.1117/12.896768

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KEYWORDS

Monochromatic aberrations

Aberration theory

Adaptive optics

Lens design

Optical spheres

Geometrical optics

Image quality

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