Psang Dain Lin, "Transverse ray aberrations determination in non-axially symmetrical optical imaging systems using Taylor series expansion," Appl. Opt. 62, 4000-4010 (2023)
Non-axially symmetrical optical systems can provide better solutions to several optical design problems. However, the determination of their aberrations is a challenge due to the great diversity of their configurations. To address this problem, this study extends previous work by the present group to determine the transverse ray aberrations in non-axially symmetrical optical imaging systems through the use of a Taylor series expansion. The expansion converts the coordinates of the incident point, which are highly composite functions, of a general ray on the image plane into polynomial functions. The various order transverse ray aberrations are then extracted directly from the corresponding terms of the polynomials. Notably, the derived expressions are exact since they are determined without any approximations. Furthermore, the proposed method can be equally applied to axially symmetrical systems provided that the object is confined on the meridional plane. Consequently, the proposed method offers a useful and generally applicable approach for the systematic analysis of the transverse ray aberrations in optical systems with the object at either finite or infinite positions.
The author confirms that the data supporting the findings of this study are either available within the article and its supplementary materials or may be obtained from the authors upon reasonable request.
Cited By
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.