31 August 2006 Proposing the inclination factor which satisfies the reciprocity theorem in scalar imaging theory and confirming the validity by numerical calculations
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Abstract
Recently, since micro optics have been widely used in many optical systems, it is desired to evaluate correctly the performance of such a micro optics and design them properly. In order to estimate accurately the diffraction effect, rigorous inclination factor of diffraction should be utilized. In this paper, we derive theoretically the self-consistent inclination factor which satisfies the reciprocity theorem in scalar imaging theory. By calculating numerically the point spread function in micro optics of no aberration, we also confirm the self-consistency of this factor. That is, the point spread function calculated by the diffraction at a spherical surface on the pupil coincides with that calculated by the diffraction at a plane on the same pupil. Our result will be very useful for evaluating and designing micro optics.
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Masato Shibuya, Akira Nishikata, Akira Takada, Suezou Nakadate, "Proposing the inclination factor which satisfies the reciprocity theorem in scalar imaging theory and confirming the validity by numerical calculations", Proc. SPIE 6288, Current Developments in Lens Design and Optical Engineering VII, 62880D (31 August 2006); doi: 10.1117/12.680207; https://doi.org/10.1117/12.680207
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