1 December 1991 New method for calculating third-, fifth-, and seventh-order spherical aberration coefficients and aberration offenses against sine condition
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Abstract
The spherical aberration coefficient (SAC) can be divided into : intrinsic and derivative coefficients. The former occurs on certain boundaries without incident beam aberration, and the latter is the variant of spherical aberration (SA) which is caused by aberration of the incident beam on certain boundaries. The third, fifth, and seventh order intrinsic SACs can be obtained by enlarging the SAC of the incident beam without aberration (L=1, SinU=u). The aberration of the incident beam is expressed as Δl=L-1 and Δy=L · SinU-1 · u (where 1 and L are the intersecting distance of paraxial and nonparaxial beams, respectively). Then the fifth and seventh order derivative SACs can be derived from differentiating and intrinsic SAC with respect to aberration of the incident beam.
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Songgao Kang, Songgao Kang, Kaichang Lu, Kaichang Lu, Yafei Zhu, Yafei Zhu, } "New method for calculating third-, fifth-, and seventh-order spherical aberration coefficients and aberration offenses against sine condition", Proc. SPIE 1527, Current Developments in Optical Design and Optical Engineering, (1 December 1991); doi: 10.1117/12.48668; https://doi.org/10.1117/12.48668
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