New method for calculating third-, fifth-, and seventh-order spherical aberration coefficients and aberration offenses against sine condition

Physics

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Scientific paper

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 (Lequals1, SinUequalsu). The aberration of the incident beam is expressed as (Delta) 1equalsL-1 and (Delta) yequalsL (DOT) SinU-1 (DOT) u (where 1 and L are the intersecting distance of paraxial and non-paraxial 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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